A rectangle has a perimeter of 64 inches and a length of 22 inches. Which equation can you solve to find the width?

Mathematics · Middle School · Tue Nov 03 2020

Answered on

Given:

Perimeter of a rectangle = 64 inches

Length = 22 inches

Determine the width.

Formula for the perimeter of a rectangle.

P = 2(l + w)

Solution:

Substitute the given values of perimeter and length to the formula for the perimeter of the rectangle, then we solve for w.

P = 2(l + w) 

64 = 2 (22 + w)

64 =44 + 2w

Transpose 44 on the other side of the equation, note that when transposing a number, the sign changes.

64 -44 = 2w

20 = 2w

Divide both sides by 2 in order to get the value of w.

w = 10

Final answer:

The width of the rectangle is 10 inches