Question 1061728: Please help me with this problem:
a pool and a basketball court are both rectangular in shape. the pool's length is twice it's width. the basketball court has the same length as the pool, but its length is 3/4 the length of the pool. 10 less than the perimeter of the pool is equal to the perimeter of the basketball court. find the dimensions of both courts
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! pool's width is x
length is 2x
basketball court can't have the same length as the pool , but its length is 3/4 the length of the pool. I will assume the WIDTH is the same and the length is 3/4 that of the pool.
That makes the basketball court x by 1.5x (3/4*2x)
The perimeter of the pool is 6x, twice the half perimeter of L+W
The perimeter of the basketball court is 6x-10=(x+1.5x)*2
Therefore, 6x-10=5x
x=10 units
2x=20 units
The pool is 10 *20 with perimeter 60.
The basketball court is 10*15 with perimeter 50, 10 fewer than 60.
|
|
|
