Question

The length of a rectangle is twice the width. the perimeter is 90 inches. what is the rectangles area? you write the equation 2w+2w+w+w=90 for the word problem. you solve and get 15. what is the answer to the problem?

A) The area is 450 in^2
B) The width is 15 inches.
C) The area is 112.5 in^2
D) The length is 30 inches.

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Answer 1

One width and one length is half the perimeter.

90/2 = 45

Let the width = X

the length is 2 times the width so 2X

The sum of the two equals 45"

2X + X = 45

Simplify:

3x = 45

Divide both sides by 3:

x = 15

The width is 15 inches

Length = 30 inches.

Area = Length x width = 15 x 30 = 450 in^2

The area 450 in^2