SOLUTION: The perimeter of a rectangular wading pool is 172 meters and its area is 1800 square meters. How do I find the length and width of the pool using a quadratic equation.
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Question 788409: The perimeter of a rectangular wading pool is 172 meters and its area is 1800 square meters. How do I find the length and width of the pool using a quadratic equation.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
The perimeter of a rectangle is given by 
. The area is given by 
So if the perimeter is 172 meters, then
Substitute into the area function:
\ =\ 86w\ -\ w^2)
But this is equal to 1800 square meters, so
So 
, 
, and 
And the quadratic formula is
Plug in the numbers and do the arithmetic.
John
Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
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