Use a formula to solve the problem
-A rectangular Persian carpet has a perimeter of 216 inches. The length of the carpet is 24 inches more than the width. What are the dimensions of the carpet?
A) 84 inches by 108 inches
B) 42 inches by 66 inches
C) 96 inches by 120 inches
D) 66 inches by 90 inches

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 ($l = w + 24$), we can substitute $l$ in the perimeter formula and solve for $w$. Substituting the given perimeter (216 inches) into the formula, we get $216 = 2(w + 24) + 2w$. Simplifying, we find $w = 42$ inches and $l = 66$ inches.

Use a Formula to Solve the Problem