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
