Maximizing a Polygon's Area
<p><a href="https://www.prepswift.com/quizzes/quiz/prepswift-maximizing-a-polygons-area" target="_blank">Maximizing a Polygon's Area Exercise</a></p><p>I'll just come out and say it. To <strong><span style="color:#8e44ad;">Maximize a Certain Polygon's Area</span></strong>, make it <strong><u>regular</u></strong>.</p>
<p><strong><span style="color:#27ae60;">Example</span></strong></p>
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<p>Notice how all three quadrilaterals have a perimeter of $4x$. So which one has the largest area?</p>
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<p>As you can see, the "regular" square on the left has the largest area.</p>
<p><strong><span style="color:#e74c3c;">NOTE</span>: </strong>When you're "maximizing" a polygon's area, you have to keep the perimeter constant. </p>