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

76 cm a 52 cm Find the area of the regular pentagon (the answer has one digit after-example-1

1 Answer

2 votes

Answer:

98.8 cm²

Explanation:

Hi there!


A=(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=(1)/(2) Pa

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


A=(1)/(2) (38)(5.2)\\A=(1)/(2) (38)(5.2)\\A=(1)/(2) (197.6)\\A=98.8

Therefore, the area of the pentagon is 98.8 cm².

I hope this helps!

User Rutger Van Baren
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