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

l=3+w
w=w
p=2(3+w)+2w
p=6+2w+2w
p=6+4w
34=6+4w
28=4w
w=7
l=10

Answer 2

The width of rectangle is 7 inches.

The length of rectangle is 10 inches.

Explanation:

Let w represent width and l represent length of the rectangle.

We have been given that the length of a rectangle is 3 inches more than its width. We can represent this information in an equation as:

`l=w+3...(1)`

We are also told that the perimeter of the rectangle is 34 inches. We know that perimeter of a rectangle is two times its width and length. We can represent this information in an equation as:

`2(w+l)=34...(2)`

Upon substituting equation (1) in equation (2), we will get:

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

`2(2w+3)=34`

Using distributive property
`a(b+c)=ab+ac`, we will get:

`2*2w+2*3=34`

`4w+6=34`

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

`4w=28`

`(4w)/(4)=(28)/(4)`

`w=7`

Therefore, the width of rectangle is 7 inches.

Upon substituting
`w=7` in equation (1), we will get:

`l=w+3`

`l=7+3`

`l=10`

Therefore, the length of rectangle is 10 inches.