The perimeter of a rectangle is 266 centimeters. If the ratio of its width to its length is 6 to 13, find the dimensions of the rectangle.
A) The width is 42 centimeters and the length is 91 centimeters.
B) The width is 52 centimeters and the length is 81 centimeters.
C) The width is 37 centimeters and the length is 96 centimeters.
D) The width is 47 centimeters and the length is 86 centimeters.
E) The width is 32 centimeters and the length is 101 centimeters.

Question

Quizplus · Accepted Answer

The perimeter of a rectangle is given by 2(length + width). Given the ratio of width to length is 6:13, let the width be 6x and the length be 13x. The perimeter is 2(6x + 13x) = 266. Solving for x gives x = 7. Therefore, the width is 6x = 42 cm and the length is 13x = 91 cm.

The Perimeter of a Rectangle Is 266 Centimeters