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mixas84 [53]
4 years ago
14

A pentagon has all sides equal. A rectangle has width twice as long as the side of the pentagon and length four times as long. T

he perimeter of the rectangle is 30 inches. What is the perimeter of the pentagon?
Mathematics
1 answer:
ale4655 [162]4 years ago
8 0

Answer: the perimeter of the Pentagon is 12.5 inches

Step-by-step explanation:

Let x represent the length of each side of the Pentagon.

A rectangle has width twice as long as the side of the pentagon. This means that the width of the rectangle, w is 2x

The rectangle has length four times as long as the side of the pentagon. This means that the length of the rectangle, l is 4x

The formula for determining the perimeter of a rectangle is expressed as

Perimeter = 2(l + w)

The perimeter of the rectangle is 30 inches. This means that

2(2x + 4x) = 30

12x = 30

x = 30/12 = 2.5

A Pentagon has 5 sides. This means that the perimeter of the Pentagon is

5 × 2.5 = 12.5 inches

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