Question

The width of a rectangle is 9 less than the length. If the perimeter is 130 cm, find the length and the width of the rectangle.

Answer 1

The formula of a perimeter of a rectangle:

`P=2(l+w)`

l - length

w - width

We have

w - width

w + 9 - length

130 cm - perimeter

Substitute:

`2(w+9+w)=130` divide both sides by 2

`2w+9=65` subtract 9 from both sides

`2w=56` divide both sides by 2

`\boxed{w=28}`

`w+9=28+9\\\\w+9=37`

Answer: The length = 37 cm and the width = 28 cm.