Solve.
-A rectangular Persian carpet has a perimeter of 232 inches. The length of the carpet is 24 inches more than the width. What are the dimensions of the carpet?
A)70 in., 94 in.
B)46 in., 70 in.
C)92 in., 116 in.
D)104 in., 128 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 232 inches, we can set up the equation $232 = 2(w + 24) + 2w$. Solving this equation for $w$ gives us $w = 46$ inches, and thus $l = 70$ inches.

Solve. -A Rectangular Persian Carpet Has a Perimeter of 232 Inches