Question

Need help on this question asap pleasee please

Answer 1

Given:

A regular pentagon with side 8 cm and apothem 6 cm.

To find:

The area of the given regular pentagon.

Solution:

The area of a regular polygon is:

`A=(n* s* a)/(2)`

Where, n is the number of sides of the regular polygon, s is the side length and a is the apothem.

In a regular pentagon the number of sides is 5.

Substituting
`n=5,s=8,a=6` in the above formula, we get

`A=(5* 8* 6)/(2)`

`A=(240)/(2)`

`A=120`

The area of the regular pentagon is 120 cm². Therefore, the correct option is C.