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2 years ago

In the regular pentagon below, if AP = 4 m and BC = 10 m, find it's area.

Mathematics

1 answer:

12345 [234]2 years ago

4 0

First symmetrically cut the pentagon to get 5 pieces. (So that you will get the idea that this polygon is divided into 5 triangles)

Then find the area of one of the triangles:

Area of Triangle = $\frac{1}{2} bh$

A = $\frac{1}{2}$ × 4 × 10

A = 20 m²

To find the area of the whole pentagon shape:

A = 20 × 5 = 100 m²

<em>Hope it helps!</em>

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