SOLUTION: The perimeter of a swimming pool is 96 meters. The width is 3 meters more that the length of the pool. Find the length and width of the pool.

Algebra ->  Average -> SOLUTION: The perimeter of a swimming pool is 96 meters. The width is 3 meters more that the length of the pool. Find the length and width of the pool.      Log On


   



Question 169853: The perimeter of a swimming pool is 96 meters. The width is 3 meters more that the length of the pool. Find the length and width of the pool.
Found 2 solutions by nerdybill, Mathtut:
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
The perimeter of a swimming pool is 96 meters. The width is 3 meters more that the length of the pool. Find the length and width of the pool.
.
Let x = length of the pool
then
x+3 = width of the pool
.
Remember, the perimeter of any rectangle is:
W + W + L + L
2W + 2L
2(W + L)
.
So, rewriting the above with our variable we have:
96 = 2(x + x+3)
96 = 2(2x+3)
96 = 4x+6
90 = 4x
22.5 meters = x (length of pool)
.
width:
x+3 = 22.5+3 = 25.5 meters (width of pool)

Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
Perimeter P=2L+2W:::W=L+3.....take W's value and P's value and plug them into the Perimeter eq.
:
96=2L+2(L+3)...distribute
:
96=4L+6...subt 6 form both sides
:
4L=90
:
highlight%28L=22.5%29length of the pool
:
highlight%28W=22.5%2B3=25.5%29width of the pool