Solve the problem.
-A rectangular Persian carpet has a perimeter of 216 inches. The length of the carpet is 26 in. more than the width. What are the dimensions of the carpet?
A) Width: 67 in.; length: 93 in.
B) Width: 82 in.; length: 108 in.
C) Width: 95 in.; length: 121 in.
D) Width: 41 in.; length: 67 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 is 26 inches more than the width ($l = w + 26$) and the perimeter is 216 inches, we can set up the equation $2(w + 26) + 2w = 216$. Simplifying gives $4w + 52 = 216$, and further simplification gives $w = 41$ inches. Substituting $w = 41$ into $l = w + 26$ gives $l = 67$ inches.

Solve the Problem. -A Rectangular Persian Carpet Has a Perimeter of 216 Inches