Question

Geometry - Area of a regular polygons

Answer 1

• 19888 cm²

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The area of a regular polygon is half the product of its apothem and its perimeter:

• A = aP/2

Given is a pentagon, hence:

• P = 5s

We are given the lengths:

• a = 74 cm
• s = 107.5 cm

Calculate the area:

• A = 5*107.5*74/2 = 19887.5 ≈ 19888 cm² (rounded)