Question

The length of a rectangle is 3 in. more than its width. The perimeter of the rectangle is 30 in. What is the width and length of the rectangle?

Answer 1

width = 6 in and length = 9 in

Explanation:

let the width be w then length = w + 3 ( 3 more than the width )

the perimeter (P) of a rectangle is calculated as

P = 2( width + length )

given P = 30 , then the equation can be arranged as

2(w + w + 3) = 30 , simplify parenthesis

2(2w + 3) = 30 ( divide both sides by 2 )

`(2)/(2)` (2w + 3) =
`(30)/(2)`

2w + 3 = 15 ( subtract 3 from both sides )

2w + 3 - 3 = 15 - 3 ( simplify both sides )

2w = 12 ( divide both sides by 2 )

`(2)/(2)` w =
`(12)/(2)` , that is

w = 6 and w + 3 = 6 + 3 = 9

then width = 6 in and length = 9 in