Solve.
-A rectangular carpet has a perimeter of 262 inches. The length of the carpet is 89 inches more than the width. What are the dimensions of the carpet?
A) 110 by 21 inches
B) 76 by 97 inches
C) 110 by 131 inches
D) 120.5 by 131 inches

Question

Quizplus · Accepted Answer

The perimeter of a rectangle is given by the formula 2(length + width). Let the width be x inches. Then, the length is x + 89 inches. The perimeter is 2(x + x + 89) = 262 inches. Simplifying, we get 4x + 178 = 262, leading to 4x = 84, and x = 21 inches for the width. The length is 21 + 89 = 110 inches. Therefore, the dimensions are 110 by 21 inches.

Solve. -A Rectangular Carpet Has a Perimeter of 262 Inches. the the Length