The length of a rectangle is 10 inches more than its width. If 5 inches are taken from the length and added to the width, the figure becomes a square with an area of 289 square inches. What are the dimensions of the original
Figure?
A) 17 in. by 17 in.
B) 12 in. by 22 in.
C) 7 in. by 17 in.
D) 12 in. by 17 in.

Question

Quizplus · Accepted Answer

The original rectangle becomes a square when 5 inches are taken from the length and added to the width, making both sides equal. The area of the square is 289 square inches, which is the square of 17 (since 17 * 17 = 289). Therefore, before the adjustment, the width was 17 - 5 = 12 inches, and the length was 17 + 5 = 22 inches. Hence, the original dimensions were 12 inches by 22 inches.

The Length of a Rectangle Is 10 Inches More Than