SOLUTION: The world's largest swimming pool is the Orthlieb pool in Casablanca Morocco. the length is 30 meters longer than 6 times the width. If the perimeter of the pool is 1,110 meters, w

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: The world's largest swimming pool is the Orthlieb pool in Casablanca Morocco. the length is 30 meters longer than 6 times the width. If the perimeter of the pool is 1,110 meters, w      Log On


   

Question 289523: The world's largest swimming pool is the Orthlieb pool in Casablanca Morocco. the length is 30 meters longer than 6 times the width. If the perimeter of the pool is 1,110 meters, what are the dimensions of the pool?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The assumption is that the pool is rectangular.
The perimeter of a rectangle is
P=2%2A%28L%2BW%29
In this case,the length is 30 meters longer than 6 times the width,
L=30%2B6W
Substitute in the perimeter equation,
P=2%2A%28%2830%2B6W%29%2BW%29=1110
30%2B7W=555
7W=525
W=75
Then from above,
L=30%2B6W=30%2B6%2875%29=480
The pool dimensions are 480m by 75m.