Question

The perimeter of a rectangle is 40inches. If the length of the rectangle is 13inches, which equation could be used to find the width, x?

A) x+13=40
B) 13(x+2)=40
C) 2(x+13)=40
D) x+2(13)=40

Answer 1

The equation that can be used to find the width of the rectangle is 13(x+2)=40.

Step-by-step explanation:

To find the width of the rectangle, we can use the equation B) 13(x+2)=40.

This equation represents the perimeter formula for a rectangle, where the length is 13 inches and the sum of the length and twice the width equals the perimeter, which is 40 inches.

We can solve this equation by distributing the 13 to both terms inside the parentheses, and then solving for x.

13x + 26 = 40
13x = 40 - 26
13x = 14
x = 14/13

Therefore, the equation 13(x+2)=40 can be used to find the width x, and the width is approximately 1.08 inches.