SOLUTION: The width of a rectangle is 2 meters more than one-third of the length. The perimeter of the rectangle is 92 meters. Find the length and width of the rectangle.

Algebra ->  Rectangles -> SOLUTION: The width of a rectangle is 2 meters more than one-third of the length. The perimeter of the rectangle is 92 meters. Find the length and width of the rectangle.       Log On


   



Question 842168: The width of a rectangle is 2 meters more than one-third of the length. The perimeter of the rectangle is 92 meters. Find the length and width of the rectangle.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,

The width of a rectangle is 2 meters more than one-third of the lengthhighlight_green%28x%29. Width is highlight_green%28x%2F3+%2B+2%29.
The perimeter of the rectangle is 92 meters.
P = 2l + 2w
2x + 2(x/3 + 2) = 92m
2x + (2/3)x + 4 = 92m
(8/3)x = 88m
x = (3/8)88m
x = 33m, the length. The width is 13m
CHECKING our answer***
66m + 26m = 92m
Wish You the Best in your Studies.