SOLUTION: A rectangular swimming pool, 20 meters long and 12 meters wide is surrounded by a deck that is the same with all around the pool.If the pool and deck together occupy an area of 600

Question 958687: A rectangular swimming pool, 20 meters long and 12 meters wide is surrounded by a deck that is the same with all around the pool.If the pool and deck together occupy an area of 600 square meters, how wide is the deck?

Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
x=2 times the width of deck

Subtract 600m^2 from each side.

Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=2464 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 8.81934729198171, -40.8193472919817. Here's your graph:

x=8.82 meters, width=0.5x=4.41 meters
ANSWER The width of the deck is 4.41 meters.
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