SOLUTION: A rectangular pool has dimensions of 40 ft and 60 ft. If the pool has a patio area around it that equals the area of the pool, how wide is the distance from the pool edge to the pa

Question 426817: A rectangular pool has dimensions of 40 ft and 60 ft. If the pool has a patio area around it that equals the area of the pool, how wide is the distance from the pool edge to the patio edge?

I am supposed to solve this using the quadratic equation.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Let

represent the width of the patio. Then the overall dimensions of the pool including the patio are

. If the area of the patio and the area of the pool are the same, then the area of both of them together must be two times the area of the pool, namely 2 times 2400 or 4800 square feet.

Solve the quadratic for

. It factors. Discard the negative root.

John

My calculator said it, I believe it, that settles it

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