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

Answer:

The Length of the rectangle is 7 feet

Width of the rectangle is 11 feet

Step-by-step 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

Answer 2

The dimensions are 4.5 x 8.5.