The length of a rectangle is 7 times its width. If the perimeter of the rectangle is 112 inches, find its length and width.
A) the length is 980 inches and the width is 49 inches
B) the length is 49 inches and the width is 7 inches
C) the length is 70 inches and the width is 14 inches
D) the length is 343 inches and the width is 49 inches
E) the length is 343 inches and the width is 7 inches

Question

Quizplus · Accepted Answer

The perimeter of a rectangle is given by the formula 2(length + width). Let the width be x inches. Then, the length is 7x inches. The equation for the perimeter is 2(x + 7x) = 112. Solving for x gives x = 7 inches (width) and 7x = 49 inches (length).

The Length of a Rectangle Is 7 Times Its Width