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The length of a rectangle is 3 inches more than its width, and its perimeter is 22 inches. Find the width of the rectangle

Verified Answer :

kayt91

one thing that may help is the use of diagrams. See the attached photo.

To solve you need two equations.

2w + 2L = 22
L = w + 3

2w + 2(w + 3) = 22
2w + 2w + 6 = 22
4w + 6 = 22
4w = 16
w = 4

L = w + 3
L = 4 + 3
L = 7

View image kayt91

The width of the rectangle is 4 inches.

What is perimeter of rectangle?

The formula for the perimeter of a rectangle is, P = length + breadth + length + breadth.= 2(length+ breadth)

Given: perimeter= 22 inches.

Let the width be 'b'

length= b+3

Perimeter of rectangle= 2(l+b)

22 = 2(b+3+b)

11= 2b+3

11-3=2b

8=2b

b=4 inches

So, length= b+3= 7 inches

Hence, the width of rectangle is 4 inches.

Learn more perimeter of rectangle here:

https://brainly.com/question/15287805

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