Question

If a = 2 cm and r = 3.4 cm, find the area of the regular pentagon.

Answer 1

Answer:

$Area = 3.4\ cm^{2}$

Step-by-step explanation:

Assume a pentagon has equal length where a be the side of the pentagon and r be the apothem of the pentagon.

Given:

Sides of pentagon $a=2\ cm$

apothem of pentagon $r=3.4\ cm$

The area of the pentagon formula is given below.

$A = \frac{1}{2}\times bh$

Where b = length of the base or side

And h = height of apothem

Now, we substitute side and apothem length in above formula.

$A = \frac{1}{2}\times 2\times 3.4$

$A = 3.4\ cm^{2}$

Therefore, the area of the pentagon is $3.4\ cm^{2}$