Solve the problem.
-A rectangular Persian carpet has a perimeter of 224 inches. The length of the carpet is 24 inches more than the width. What are the dimensions of the carpet?
A)44 in., 68 in.
B)68 in., 92 in.
C)100 in., 124 in.
D)88 in., 112 in.

Question

Quizplus · Accepted Answer

The perimeter of a rectangle is given by the formula P = 2l + 2w, where l is the length and w is the width. Given that the length is 24 inches more than the width (l = w + 24) and the perimeter is 224 inches, we can set up the equation 2(w + 24) + 2w = 224. Simplifying gives 4w + 48 = 224, then 4w = 176, and solving for w gives w = 44 inches. The length is 24 inches more than the width, so l = 44 + 24 = 68 inches. Therefore, the dimensions are 44 inches by 68 inches.

Solve the Problem. -A Rectangular Persian Carpet Has a Perimeter of 224 Inches