Question

the perimeter of a rectangle window is 36 feet. the width of the window is 4 feet more than the the length. what are the dimensions of the window?

Answer 1

the dimensions are 4.5 x 8.5.

Answer 2

The Length of the rectangle is 7 feet

Width of the rectangle is 11 feet

Explanation:

the perimeter of a rectangle window is 36 feet.

Perimeter = 36 feet

the width of the window is 4 feet more than the the length

Let L be the length of the window

`width = 4+L`

Perimeter of the rectangle = 2(length)+2(width)

Perimeter =
`2(L)+2(L+4)`

Replace perimeter by 36

`36=2(L)+2(L+4)`

`36=2L+2L+8`

`36=4L+8`

Subtract 8 on both sides

`28=4L`

Divide both sides by 4

L= 7

The Length of the rectangle is 7 feet

Width =
`L+4=7+4= 11`

Width of the rectangle is 11 feet