SOLUTION: The perimeter of a rectangle is 240 ft. The length is 2 ft greater than the width. Find the length and the width.

Algebra ->  Rectangles -> SOLUTION: The perimeter of a rectangle is 240 ft. The length is 2 ft greater than the width. Find the length and the width.      Log On


   



Question 453142: The perimeter of a rectangle is 240 ft. The length is 2 ft greater than the width. Find the length and the width.
Answer by pedjajov(51) About Me  (Show Source):
You can put this solution on YOUR website!
Perimeter of the rectangle is given as:
:
P=2(w+l)
:
Relationship between width and the length is given as:
:
l=w+2
:
Substitute l in formula for P:
P=2(w+w+2)
P=2(2w+2)
P=4w+4
:
240=4w+4
4w=236
w=59, this is width in ft.
:
l=w+2
l=59+2
l=61, this is length in ft.