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=(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* 14`

`P=70`

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

`A=(1)/(2)(70)(9.6)`

`A=(35)(9.6)`

`A=336`

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