Solve the problem.
-A rectangular Persian carpet has a perimeter of 184 inches. The length of the carpet is 24 inches more than the width. What are the dimensions of the carpet?
A) 58 in., 82 in.
B) 80 in., 104 in.
C) 34 in., 58 in.
D) 68 in., 92 in.

Question

Quizplus · Accepted Answer

The perimeter of a rectangle is given by the formula $2l + 2w = P$, where $l$ is the length, $w$ is the width, and $P$ is the perimeter. Given that the length ($l$) is 24 inches more than the width ($w$), we can express the length as $l = w + 24$. Substituting this into the perimeter formula gives us $2(w + 24) + 2w = 184$. Simplifying, we get $4w + 48 = 184$, leading to $4w = 136$, and thus $w = 34$ inches. The length is $34 + 24 = 58$ inches. Therefore, the dimensions are 34 inches by 58 inches.

Solve the Problem. -A Rectangular Persian Carpet Has a Perimeter of 184 Inches