Question

PLS HELP!! find area of the shape round to the nearest tenth

Answer 1

Given:

A regular pentagon with side 14 units and apothem 9.6 units.

To find:

The area round to the nearest tenth.

Solution:

Area of a regular polygon is:

$A=\dfrac{1}{2}Pa$           ...(i)

Where, P is the perimeter and a is the apothem.

The given figure is a regular pentagon with five sides. So, the perimeter of the given figure is the product of number of sides and the side length.

$P=5\times 14$

$P=70$

Putting $P=70,a=9.6$, we get

$A=\dfrac{1}{2}(70)(9.6)$

$A=(35)(9.6)$

$A=336$

Therefore, the area of the regular polygon is 336.0 square units.