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lana66690 [7]
3 years ago
9

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

Mathematics
1 answer:
alekssr [168]3 years ago
5 0

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)

<u>1) Find the perimeter</u>

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.

<u>2) Find the area</u>

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!

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