Solve the problem.
-A rectangular Persian carpet has a perimeter of 208 inches. The length of the carpet is 18 in. more than the width. What are the dimensions of the carpet?
A) Width: 61 in.; length: 79 in.
B) Width: 43 in.; length: 61 in.
C) Width: 95 in.; length: 113 in.
D) Width: 86 in.; length: 104 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 18 inches more than the width ($l = w + 18$), and the perimeter is 208 inches, we can set up the equation $208 = 2(w + 18) + 2w$. Simplifying, we get $208 = 4w + 36$, and solving for $w$ gives $w = 43$ inches. Therefore, the length is $43 + 18 = 61$ inches.

Solve the Problem. -A Rectangular Persian Carpet Has a Perimeter of 208 Inches