Question

The length of a rectangle is twice the width. The perimeter is 90 inches. What is the rectangle's 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 in2.
B) The width is 15 inches.
C) The area is 112.5 in2.
D) The length is 30 inches.

Answer 1

Length=l, w=width

L=2w

Perimeter =2l+2w=2w+2w+w+w=90inches

6w=90

w=15inches

Length =2×15=30inches

Area=length × width =30inches×15inches=450in2