Question

76 cm a 52 cm Find the area of the regular pentagon (the answer has one digit after the decimal point)​

Answer 1

Answer:

98.8 cm²

Step-by-step explanation:

Hi there!

$A=\frac{1}{2} Pa$ where P is the perimeter of the pentagon and a is the apothem (the line going from the center of the pentagon one edge)

1) Find the perimeter

$P=5l$ where l is the side length

Plug in the side length 7.6 cm

$P=5(7.6)\\P=38$

Therefore, the perimeter of the pentagon is 38 cm.

2) Find the area

$A=\frac{1}{2} Pa$

Plug in the perimeter (38) and the apothem (5.2)

$A=\frac{1}{2} (38)(5.2)\\A=\frac{1}{2} (38)(5.2)\\A=\frac{1}{2} (197.6)\\A=98.8$

Therefore, the area of the pentagon is 98.8 cm².

I hope this helps!