A Seemingly Impossible Problem II

<p><span style="font-size:22px"><a href="https://www.prepswift.com/quizzes/quiz/prepswift-a-seemingly-impossible-problem-ii" target="_blank">A Seemingly Impossible Problem II</a></span></p><p>Our knowledge of $30$-$60$-$90$ or $45$-$45$-$90$ triangles can help us solve <strong><span style="color:#8e44ad;">Another Seemingly Impossible Problem</span></strong>.</p> <p><strong><span style="color:#27ae60;">The Problem</span></strong></p> <p>What is the area of the parallelogram below?</p> <center><svg height="162.14285278320312" style=" width:661.8285522460938px; height:162.14285278320312px; background: #FFF; fill: none; " width="661.8285522460938" x="0" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" y="0"> <svg class="role-diagram-draw-area" xmlns="http://www.w3.org/2000/svg"><g class="shapes-region" style="stroke: black; fill: none;"><g class="composite-shape"><path class="real" d=" M285.68,11.26 L450.6,11.26 L379.92,119.46 L215,119.46 Z" style="stroke-width: 1; stroke: rgb(0, 0, 0); fill: none; fill-opacity: 1;"></path></g><g></g></g><g></g><g></g><g></g></svg> <svg height="160.3142852783203" style="width:660px;height:160.3142852783203px;font-family:Asana-Math, Asana;background:#FFF;" width="660" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g><g><g><g transform="matrix(1,0,0,1,298.91424560546875,143.9371533203125)"><path d="M418 -3L418 27L366 30C311 33 301 44 301 96L301 700L60 598L67 548L217 614L217 96C217 44 206 33 152 30L96 27L96 -3C250 0 250 0 261 0C292 0 402 -3 418 -3ZM762 689C607 689 528 566 528 324C528 207 549 106 584 57C619 8 675 -20 737 -20C888 -20 964 110 964 366C964 585 899 689 762 689ZM744 654C841 654 880 556 880 316C880 103 842 15 750 15C653 15 612 116 612 360C612 571 649 654 744 654Z" fill="rgb(0,0,0)" fill-opacity="1" stroke="rgb(0,0,0)" stroke-opacity="1" stroke-width="8" transform="matrix(0.024480000000000002,0,0,-0.024480000000000002,0,0)"></path></g></g></g></g><g><g><g><g transform="matrix(1,0,0,1,422.91424560546875,76.65143249511719)"><path d="M131 331C152 512 241 611 421 665L379 689C283 657 242 637 191 593C88 506 32 384 32 247C32 82 112 -20 241 -20C371 -20 468 83 468 219C468 334 399 409 293 409C216 409 184 370 131 331ZM255 349C331 349 382 283 382 184C382 80 331 13 254 13C169 13 123 86 123 220C123 255 127 274 138 291C160 325 207 349 255 349Z" fill="rgb(0,0,0)" fill-opacity="1" stroke="rgb(0,0,0)" stroke-opacity="1" stroke-width="8" transform="matrix(0.024480000000000002,0,0,-0.024480000000000002,0,0)"></path></g></g></g></g><g><g><g><g transform="matrix(1,0,0,1,351.91424560546875,115.62857055664062)"><path d="M418 -3L418 27L366 30C311 33 301 44 301 96L301 700L60 598L67 548L217 614L217 96C217 44 206 33 152 30L96 27L96 -3C250 0 250 0 261 0C292 0 402 -3 418 -3ZM515 23L515 -3C702 -3 702 0 738 0C774 0 774 -3 967 -3L967 82C852 77 806 81 621 77L803 270C900 373 930 428 930 503C930 618 852 689 725 689C653 689 604 669 555 619L538 483L567 483L580 529C596 587 632 612 699 612C785 612 840 558 840 473C840 398 798 324 685 204ZM1261 689C1106 689 1027 566 1027 324C1027 207 1048 106 1083 57C1118 8 1174 -20 1236 -20C1387 -20 1463 110 1463 366C1463 585 1398 689 1261 689ZM1243 654C1340 654 1379 556 1379 316C1379 103 1341 15 1249 15C1152 15 1111 116 1111 360C1111 571 1148 654 1243 654ZM1696 689C1614 689 1547 622 1547 539C1547 456 1614 389 1697 389C1778 389 1847 457 1847 537C1847 621 1780 689 1696 689ZM1696 649C1757 649 1807 599 1807 537C1807 479 1757 429 1697 429C1636 429 1587 478 1587 539C1587 600 1636 649 1696 649Z" fill="rgb(0,0,0)" fill-opacity="1" stroke="rgb(0,0,0)" stroke-opacity="1" stroke-width="8" transform="matrix(0.017,0,0,-0.017,0,0)"></path></g></g></g></g></svg> </svg></center> <p>On the surface, this seems impossible to solve because we don&#39;t have the height. But what if we were to extend the base a little? That angle would be $60$&deg; right?</p> <center><svg height="162.14285278320312" style=" width:661.8285522460938px; height:162.14285278320312px; background: #FFF; fill: none; " width="661.8285522460938" x="0" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" y="0"> <svg class="role-diagram-draw-area" xmlns="http://www.w3.org/2000/svg"><g class="shapes-region" style="stroke: black; fill: none;"><g class="composite-shape"><path class="real" d=" M285.68,11.26 L450.6,11.26 L379.92,119.46 L215,119.46 Z" style="stroke-width: 1; stroke: rgb(0, 0, 0); fill: none; fill-opacity: 1;"></path></g><g class="arrow-line"><path class="connection real" d=" M379.92,119.46 L412.61,119.36 L447.6,119.26" stroke-dasharray="6 6" style="stroke: rgb(0, 0, 0); stroke-width: 1; fill: none; fill-opacity: 1;"></path></g><g></g></g><g></g><g></g><g></g></svg> <svg height="160.3142852783203" style="width:660px;height:160.3142852783203px;font-family:Asana-Math, Asana;background:#FFF;" width="660" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g><g><g><g transform="matrix(1,0,0,1,298.91424560546875,143.9371533203125)"><path d="M418 -3L418 27L366 30C311 33 301 44 301 96L301 700L60 598L67 548L217 614L217 96C217 44 206 33 152 30L96 27L96 -3C250 0 250 0 261 0C292 0 402 -3 418 -3ZM762 689C607 689 528 566 528 324C528 207 549 106 584 57C619 8 675 -20 737 -20C888 -20 964 110 964 366C964 585 899 689 762 689ZM744 654C841 654 880 556 880 316C880 103 842 15 750 15C653 15 612 116 612 360C612 571 649 654 744 654Z" fill="rgb(0,0,0)" fill-opacity="1" stroke="rgb(0,0,0)" stroke-opacity="1" stroke-width="8" transform="matrix(0.024480000000000002,0,0,-0.024480000000000002,0,0)"></path></g></g></g></g><g><g><g><g transform="matrix(1,0,0,1,422.91424560546875,76.65143249511719)"><path d="M131 331C152 512 241 611 421 665L379 689C283 657 242 637 191 593C88 506 32 384 32 247C32 82 112 -20 241 -20C371 -20 468 83 468 219C468 334 399 409 293 409C216 409 184 370 131 331ZM255 349C331 349 382 283 382 184C382 80 331 13 254 13C169 13 123 86 123 220C123 255 127 274 138 291C160 325 207 349 255 349Z" fill="rgb(0,0,0)" fill-opacity="1" stroke="rgb(0,0,0)" stroke-opacity="1" stroke-width="8" transform="matrix(0.024480000000000002,0,0,-0.024480000000000002,0,0)"></path></g></g></g></g><g><g><g><g transform="matrix(1,0,0,1,351.91424560546875,115.62857055664062)"><path d="M418 -3L418 27L366 30C311 33 301 44 301 96L301 700L60 598L67 548L217 614L217 96C217 44 206 33 152 30L96 27L96 -3C250 0 250 0 261 0C292 0 402 -3 418 -3ZM515 23L515 -3C702 -3 702 0 738 0C774 0 774 -3 967 -3L967 82C852 77 806 81 621 77L803 270C900 373 930 428 930 503C930 618 852 689 725 689C653 689 604 669 555 619L538 483L567 483L580 529C596 587 632 612 699 612C785 612 840 558 840 473C840 398 798 324 685 204ZM1261 689C1106 689 1027 566 1027 324C1027 207 1048 106 1083 57C1118 8 1174 -20 1236 -20C1387 -20 1463 110 1463 366C1463 585 1398 689 1261 689ZM1243 654C1340 654 1379 556 1379 316C1379 103 1341 15 1249 15C1152 15 1111 116 1111 360C1111 571 1148 654 1243 654ZM1696 689C1614 689 1547 622 1547 539C1547 456 1614 389 1697 389C1778 389 1847 457 1847 537C1847 621 1780 689 1696 689ZM1696 649C1757 649 1807 599 1807 537C1807 479 1757 429 1697 429C1636 429 1587 478 1587 539C1587 600 1636 649 1696 649Z" fill="rgb(0,0,0)" fill-opacity="1" stroke="rgb(0,0,0)" stroke-opacity="1" stroke-width="8" transform="matrix(0.017,0,0,-0.017,0,0)"></path></g></g></g></g><g><g><g><g transform="matrix(1,0,0,1,392.91424560546875,115.62857055664062)"><path d="M131 331C152 512 241 611 421 665L379 689C283 657 242 637 191 593C88 506 32 384 32 247C32 82 112 -20 241 -20C371 -20 468 83 468 219C468 334 399 409 293 409C216 409 184 370 131 331ZM255 349C331 349 382 283 382 184C382 80 331 13 254 13C169 13 123 86 123 220C123 255 127 274 138 291C160 325 207 349 255 349ZM762 689C607 689 528 566 528 324C528 207 549 106 584 57C619 8 675 -20 737 -20C888 -20 964 110 964 366C964 585 899 689 762 689ZM744 654C841 654 880 556 880 316C880 103 842 15 750 15C653 15 612 116 612 360C612 571 649 654 744 654ZM1197 689C1115 689 1048 622 1048 539C1048 456 1115 389 1198 389C1279 389 1348 457 1348 537C1348 621 1281 689 1197 689ZM1197 649C1258 649 1308 599 1308 537C1308 479 1258 429 1198 429C1137 429 1088 478 1088 539C1088 600 1137 649 1197 649Z" fill="rgb(0,0,0)" fill-opacity="1" stroke="rgb(0,0,0)" stroke-opacity="1" stroke-width="8" transform="matrix(0.017,0,0,-0.017,0,0)"></path></g></g></g></g></svg> </svg></center> <p>What if we were to then draw a perpendicular line?</p> <center><svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" x="0" y="0" width="661.8285522460938" height="155.8000030517578" style=" width:661.8285522460938px; height:155.8000030517578px; background: #FFF; fill: none; "> <svg xmlns="http://www.w3.org/2000/svg" class="role-diagram-draw-area"><g class="shapes-region" style="stroke: black; fill: none;"><g class="composite-shape"><path class="real" d=" M285.68,11.26 L450.6,11.26 L379.92,119.46 L215,119.46 Z" style="stroke-width: 1; stroke: rgb(0, 0, 0); fill: none; fill-opacity: 1;"/></g><g class="arrow-line"><path class="connection real" stroke-dasharray="6 6" d=" M379.92,119.46 L450.6,118.26" style="stroke: rgb(0, 0, 0); stroke-width: 1; fill: none; fill-opacity: 1;"/></g><g class="arrow-line"><path class="connection real" stroke-dasharray="6 6" d=" M450.6,118.26 L450.6,11.26" style="stroke: rgb(0, 0, 0); stroke-width: 1; fill: none; fill-opacity: 1;"/></g><g class="composite-shape"><path class="real" d=" M438.6,118.26 L438.6,106.26 L450.6,106.26" style="stroke-width: 1; stroke: rgb(0, 0, 0); fill: none; fill-opacity: 1;"/></g><g/></g><g/><g/><g/></svg> <svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" width="660" height="153.971435546875" style="width:660px;height:153.971435546875px;font-family:Asana-Math, Asana;background:#FFF;"><g><g><g><g transform="matrix(1,0,0,1,298.91424560546875,143.9371533203125)"><path transform="matrix(0.024480000000000002,0,0,-0.024480000000000002,0,0)" d="M418 -3L418 27L366 30C311 33 301 44 301 96L301 700L60 598L67 548L217 614L217 96C217 44 206 33 152 30L96 27L96 -3C250 0 250 0 261 0C292 0 402 -3 418 -3ZM762 689C607 689 528 566 528 324C528 207 549 106 584 57C619 8 675 -20 737 -20C888 -20 964 110 964 366C964 585 899 689 762 689ZM744 654C841 654 880 556 880 316C880 103 842 15 750 15C653 15 612 116 612 360C612 571 649 654 744 654Z" stroke="rgb(0,0,0)" stroke-opacity="1" stroke-width="8" fill="rgb(0,0,0)" fill-opacity="1"></path></g></g></g></g><g><g><g><g transform="matrix(1,0,0,1,395.91424560546875,71.65143249511719)"><path transform="matrix(0.024480000000000002,0,0,-0.024480000000000002,0,0)" d="M131 331C152 512 241 611 421 665L379 689C283 657 242 637 191 593C88 506 32 384 32 247C32 82 112 -20 241 -20C371 -20 468 83 468 219C468 334 399 409 293 409C216 409 184 370 131 331ZM255 349C331 349 382 283 382 184C382 80 331 13 254 13C169 13 123 86 123 220C123 255 127 274 138 291C160 325 207 349 255 349Z" stroke="rgb(0,0,0)" stroke-opacity="1" stroke-width="8" fill="rgb(0,0,0)" fill-opacity="1"></path></g></g></g></g><g><g><g><g transform="matrix(1,0,0,1,351.91424560546875,115.62857055664062)"><path transform="matrix(0.017,0,0,-0.017,0,0)" d="M418 -3L418 27L366 30C311 33 301 44 301 96L301 700L60 598L67 548L217 614L217 96C217 44 206 33 152 30L96 27L96 -3C250 0 250 0 261 0C292 0 402 -3 418 -3ZM515 23L515 -3C702 -3 702 0 738 0C774 0 774 -3 967 -3L967 82C852 77 806 81 621 77L803 270C900 373 930 428 930 503C930 618 852 689 725 689C653 689 604 669 555 619L538 483L567 483L580 529C596 587 632 612 699 612C785 612 840 558 840 473C840 398 798 324 685 204ZM1261 689C1106 689 1027 566 1027 324C1027 207 1048 106 1083 57C1118 8 1174 -20 1236 -20C1387 -20 1463 110 1463 366C1463 585 1398 689 1261 689ZM1243 654C1340 654 1379 556 1379 316C1379 103 1341 15 1249 15C1152 15 1111 116 1111 360C1111 571 1148 654 1243 654ZM1696 689C1614 689 1547 622 1547 539C1547 456 1614 389 1697 389C1778 389 1847 457 1847 537C1847 621 1780 689 1696 689ZM1696 649C1757 649 1807 599 1807 537C1807 479 1757 429 1697 429C1636 429 1587 478 1587 539C1587 600 1636 649 1696 649Z" stroke="rgb(0,0,0)" stroke-opacity="1" stroke-width="8" fill="rgb(0,0,0)" fill-opacity="1"></path></g></g></g></g><g><g><g><g transform="matrix(1,0,0,1,392.91424560546875,115.62857055664062)"><path transform="matrix(0.017,0,0,-0.017,0,0)" d="M131 331C152 512 241 611 421 665L379 689C283 657 242 637 191 593C88 506 32 384 32 247C32 82 112 -20 241 -20C371 -20 468 83 468 219C468 334 399 409 293 409C216 409 184 370 131 331ZM255 349C331 349 382 283 382 184C382 80 331 13 254 13C169 13 123 86 123 220C123 255 127 274 138 291C160 325 207 349 255 349ZM762 689C607 689 528 566 528 324C528 207 549 106 584 57C619 8 675 -20 737 -20C888 -20 964 110 964 366C964 585 899 689 762 689ZM744 654C841 654 880 556 880 316C880 103 842 15 750 15C653 15 612 116 612 360C612 571 649 654 744 654ZM1197 689C1115 689 1048 622 1048 539C1048 456 1115 389 1198 389C1279 389 1348 457 1348 537C1348 621 1281 689 1197 689ZM1197 649C1258 649 1308 599 1308 537C1308 479 1258 429 1198 429C1137 429 1088 478 1088 539C1088 600 1137 649 1197 649Z" stroke="rgb(0,0,0)" stroke-opacity="1" stroke-width="8" fill="rgb(0,0,0)" fill-opacity="1"></path></g></g></g></g></svg> </svg> </center> <p>Now, using our knowledge of $30$-$60$-$90$ triangles, we calculate the height of the parallelogram.</p> <center><svg height="155.8000030517578" style=" width:661.8285522460938px; height:155.8000030517578px; background: #FFF; fill: none; " width="661.8285522460938" x="0" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" y="0"> <svg class="role-diagram-draw-area" xmlns="http://www.w3.org/2000/svg"><g class="shapes-region" style="stroke: black; fill: none;"><g class="composite-shape"><path class="real" d=" M285.68,11.26 L450.6,11.26 L379.92,119.46 L215,119.46 Z" style="stroke-width: 1; stroke: rgb(0, 0, 0); fill: none; fill-opacity: 1;"></path></g><g class="arrow-line"><path class="connection real" d=" M379.92,119.46 L450.6,118.26" stroke-dasharray="6 6" style="stroke: rgb(0, 0, 0); stroke-width: 1; fill: none; fill-opacity: 1;"></path></g><g class="arrow-line"><path class="connection real" d=" M450.6,118.26 L450.6,11.26" stroke-dasharray="6 6" style="stroke: rgb(0, 0, 0); stroke-width: 1; fill: none; fill-opacity: 1;"></path></g><g class="composite-shape"><path class="real" d=" M438.6,118.26 L438.6,106.26 L450.6,106.26" style="stroke-width: 1; stroke: rgb(0, 0, 0); fill: none; fill-opacity: 1;"></path></g><g class="arrow-line"><path class="connection real" d=" M492.6,45.26 L507.6,45.26" stroke-dasharray="" style="stroke: rgb(0, 0, 0); stroke-width: 1; fill: none; fill-opacity: 1;"></path></g><g></g></g><g></g><g></g><g></g></svg> <svg height="153.971435546875" style="width:660px;height:153.971435546875px;font-family:Asana-Math, Asana;background:#FFF;" width="660" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g><g><g><g transform="matrix(1,0,0,1,298.91424560546875,143.9371533203125)"><path d="M418 -3L418 27L366 30C311 33 301 44 301 96L301 700L60 598L67 548L217 614L217 96C217 44 206 33 152 30L96 27L96 -3C250 0 250 0 261 0C292 0 402 -3 418 -3ZM762 689C607 689 528 566 528 324C528 207 549 106 584 57C619 8 675 -20 737 -20C888 -20 964 110 964 366C964 585 899 689 762 689ZM744 654C841 654 880 556 880 316C880 103 842 15 750 15C653 15 612 116 612 360C612 571 649 654 744 654Z" fill="rgb(0,0,0)" fill-opacity="1" stroke="rgb(0,0,0)" stroke-opacity="1" stroke-width="8" transform="matrix(0.024480000000000002,0,0,-0.024480000000000002,0,0)"></path></g></g></g></g><g><g><g><g transform="matrix(1,0,0,1,395.91424560546875,71.65143249511719)"><path d="M131 331C152 512 241 611 421 665L379 689C283 657 242 637 191 593C88 506 32 384 32 247C32 82 112 -20 241 -20C371 -20 468 83 468 219C468 334 399 409 293 409C216 409 184 370 131 331ZM255 349C331 349 382 283 382 184C382 80 331 13 254 13C169 13 123 86 123 220C123 255 127 274 138 291C160 325 207 349 255 349Z" fill="rgb(0,0,0)" fill-opacity="1" stroke="rgb(0,0,0)" stroke-opacity="1" stroke-width="8" transform="matrix(0.024480000000000002,0,0,-0.024480000000000002,0,0)"></path></g></g></g></g><g><g><g><g transform="matrix(1,0,0,1,351.91424560546875,115.62857055664062)"><path d="M418 -3L418 27L366 30C311 33 301 44 301 96L301 700L60 598L67 548L217 614L217 96C217 44 206 33 152 30L96 27L96 -3C250 0 250 0 261 0C292 0 402 -3 418 -3ZM515 23L515 -3C702 -3 702 0 738 0C774 0 774 -3 967 -3L967 82C852 77 806 81 621 77L803 270C900 373 930 428 930 503C930 618 852 689 725 689C653 689 604 669 555 619L538 483L567 483L580 529C596 587 632 612 699 612C785 612 840 558 840 473C840 398 798 324 685 204ZM1261 689C1106 689 1027 566 1027 324C1027 207 1048 106 1083 57C1118 8 1174 -20 1236 -20C1387 -20 1463 110 1463 366C1463 585 1398 689 1261 689ZM1243 654C1340 654 1379 556 1379 316C1379 103 1341 15 1249 15C1152 15 1111 116 1111 360C1111 571 1148 654 1243 654ZM1696 689C1614 689 1547 622 1547 539C1547 456 1614 389 1697 389C1778 389 1847 457 1847 537C1847 621 1780 689 1696 689ZM1696 649C1757 649 1807 599 1807 537C1807 479 1757 429 1697 429C1636 429 1587 478 1587 539C1587 600 1636 649 1696 649Z" fill="rgb(0,0,0)" fill-opacity="1" stroke="rgb(0,0,0)" stroke-opacity="1" stroke-width="8" transform="matrix(0.017,0,0,-0.017,0,0)"></path></g></g></g></g><g><g><g><g transform="matrix(1,0,0,1,392.91424560546875,115.62857055664062)"><path d="M131 331C152 512 241 611 421 665L379 689C283 657 242 637 191 593C88 506 32 384 32 247C32 82 112 -20 241 -20C371 -20 468 83 468 219C468 334 399 409 293 409C216 409 184 370 131 331ZM255 349C331 349 382 283 382 184C382 80 331 13 254 13C169 13 123 86 123 220C123 255 127 274 138 291C160 325 207 349 255 349ZM762 689C607 689 528 566 528 324C528 207 549 106 584 57C619 8 675 -20 737 -20C888 -20 964 110 964 366C964 585 899 689 762 689ZM744 654C841 654 880 556 880 316C880 103 842 15 750 15C653 15 612 116 612 360C612 571 649 654 744 654ZM1197 689C1115 689 1048 622 1048 539C1048 456 1115 389 1198 389C1279 389 1348 457 1348 537C1348 621 1281 689 1197 689ZM1197 649C1258 649 1308 599 1308 537C1308 479 1258 429 1198 429C1137 429 1088 478 1088 539C1088 600 1137 649 1197 649Z" fill="rgb(0,0,0)" fill-opacity="1" stroke="rgb(0,0,0)" stroke-opacity="1" stroke-width="8" transform="matrix(0.017,0,0,-0.017,0,0)"></path></g></g></g></g><g><g><g><g transform="matrix(1,0,0,1,461.914306640625,71.65143249511719)"><path d="M462 224C462 345 355 366 308 374C388 436 418 482 418 541C418 630 344 689 233 689C165 689 120 670 72 622L43 498L74 498L92 554C103 588 166 622 218 622C283 622 336 569 336 506C336 431 277 368 206 368C198 368 187 369 174 370L159 371L147 318L154 312C192 329 211 334 238 334C321 334 369 281 369 190C369 88 308 21 215 21C169 21 128 36 98 64C74 86 61 109 42 163L15 153C36 92 44 56 50 6C103 -12 147 -20 184 -20C307 -20 462 87 462 224ZM1292 1079L1231 1079L971 170L764 609L562 501L575 479L687 521L964 -59ZM1721 224C1721 345 1614 366 1567 374C1647 436 1677 482 1677 541C1677 630 1603 689 1492 689C1424 689 1379 670 1331 622L1302 498L1333 498L1351 554C1362 588 1425 622 1477 622C1542 622 1595 569 1595 506C1595 431 1536 368 1465 368C1457 368 1446 369 1433 370L1418 371L1406 318L1413 312C1451 329 1470 334 1497 334C1580 334 1628 281 1628 190C1628 88 1567 21 1474 21C1428 21 1387 36 1357 64C1333 86 1320 109 1301 163L1274 153C1295 92 1303 56 1309 6C1362 -12 1406 -20 1443 -20C1566 -20 1721 87 1721 224Z" fill="rgb(0,0,0)" fill-opacity="1" stroke="rgb(0,0,0)" stroke-opacity="1" stroke-width="8" transform="matrix(0.024480000000000002,0,0,-0.024480000000000002,0,0)"></path></g></g></g></g></svg> </svg></center> <p>We can solve now that we have the height and the base.</p> <p>$$10 \times 3\sqrt{3} = 30 \sqrt{3}$$</p> <p><strong><span style="color:#e74c3c;">BOOM!</span></strong></p>