Problem

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10. What is the area of the regular pentagon?
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Answer

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Answer

\(Area = \frac{5}{2} * l * a\)

Steps

Step 1 ：Denote side length as \(l\) and Apothem as \(a\).

Step 2 ：Divide the pentagon into 5 congruent triangles by drawing lines from each vertex to the center. Calculate the area of 1 triangle as:\[\frac{1}{2} * l * a\]Then multiply by 5 to find the area of the pentagon:\[5 * \frac{1}{2} * l * a\]

Step 3 ：\(Area = \frac{5}{2} * l * a\)

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