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Shalnov [3]
3 years ago
11

(05.03)Calculate the area of the regular pentagon below: A regular pentagon with side length of 22.3 inches and dotted line from

center to middle of side of 15.4 inches.
Mathematics
2 answers:
Marat540 [252]3 years ago
5 0

Answer:

The area of the regular pentagon is A=858.55\ in^{2}

Step-by-step explanation:

we know that

The area of a regular polygon is equal to

A=\frac{1}{2}Pa

where

P is the perimeter of the regular polygon

a is the apothem

Find the perimeter P

P=5(22.3)=111.5\ in ----> the regular pentagon has five equal sides

a=15.4\ in ---> distance from center to middle of side

substitute

A=\frac{1}{2}(111.5)(15.4)

A=858.55\ in^{2}

olga nikolaevna [1]3 years ago
5 0

Answer:

A=858.55\ in^{2}

Step-by-step explanation:

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