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.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> 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.       Log On


   

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) About Me  (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:





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
The Out Campaign: Scarlet Letter of Atheism