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
[tex]width = 4+L[/tex]
Perimeter of the rectangle = 2(length)+2(width)
Perimeter =[tex]2(L)+2(L+4)[/tex]
Replace perimeter by 36
[tex]36=2(L)+2(L+4)[/tex]
[tex]36=2L+2L+8[/tex]
[tex]36=4L+8[/tex]
Subtract 8 on both sides
[tex]28=4L[/tex]
Divide both sides by 4
L= 7
The Length of the rectangle is 7 feet
Width =[tex]L+4=7+4= 11[/tex]
Width of the rectangle is 11 feet
