The length of a rectangle is 10 inches less than twice the width. The perimeter is 58 inches. Find the length and width.
A) The length is 45 inches; the width is 13 inches.
B) The length is 14 inches; the width is 15 inches.
C) The length is 16 inches; the width is 13 inches.
D) The length is 18 inches; the width is 19 inches.
E) The length is 22 inches; the width is 21 inches.

Question

Quizplus · Accepted Answer

Let x be the width. Then the length is 2x - 10. The perimeter is 2(x + 2x - 10) = 6x - 20 = 58. Solving for x, we get x = 13. Therefore, the length is 2(13) - 10 = 16. So the dimensions are 16 x 13, and the answer is choice C.

The Length of a Rectangle Is 10 Inches Less Than