The length of a rectangle is 10 times its width. If the perimeter of the rectangle is 176 inches, find its length and width.
A) the length is 8 inches and the width is 800 inches
B) the length is 80 inches and the width is 8 inches
C) the length is 8 inches and the width is 80 inches

Question

Quizplus · Accepted Answer

Let's say that the width of the rectangle is x inches. 
According to the problem, the length is 10 times the width, which means it is 10x inches. 
The perimeter of a rectangle is given by the formula: 
Perimeter = 2(length + width) 
Substituting the values, we get: 
176 = 2(10x + x) 
176 = 2(11x) 
88 = 11x 
x = 8

Therefore, the width of the rectangle is 8 inches and the length is 10 times that, which is 80 inches. Hence, the answer is B.

The Length of a Rectangle Is 10 Times Its Width