Question

The length of a rectangle is 3 inches more than its width. The perimeter of the rectangle is 34 inches. The length of the rectangle is inches, and its width is inches.

Answer 1

Answer: Width= 7 in.

Length= 10 in.

Explanation:

`l=w+3`

The perimeter of the rectangle is 34 inches.

`2(w+l)=34`

substitute

`2(w+w+3)=34`

`2(2w+3)=34`

distributive property
`a(b+c)=ab+ac`

`2\cdot 2w+2\cdot 3=34`

`4w+6=34`

`4w+6-6=34-6`

`4w=28`

divide 4 on both sides

`w=7`

Width is 7 inches

substitute w=7 in equation
`l=w+3`

`l=7+3`

`l=10`

Length is 10 inches