Question

Find the area of the regular polygon. Round to the nearest tenth.

Answer 1

Given:

The figure of a regular polygon.

To find:

The area of the regular polygon.

Solution:

From the given figure it is clear that the regular polygon has 4 vertices. It means, it is a square.

Distance between the center and the vertex is 7 yd. So, the diagonal of the square is

$d=7+7$

$d=14$ yd

We know that, area of a square is

$A=\dfrac{1}{2}d^2$

Putting d=14 in the above formula, we get

$A=\dfrac{1}{2}(14)^2$

$A=\dfrac{1}{2}(196)$

$A=98$

Therefore, the area of the regular polygon is 98 sq. yd.