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Greg intends to place a 300 square foot pool in his back yard. if the width of the pool is 5 ft shorter then the length, what are the dimensions of the pool?

Guest Mar 1, 2015

Best Answer 

 #1
avatar+92674 
+5

We have

L (L-5) = 300  simplify

L^2 - 5L= 300

L^2 - 5L - 300 = 0   factor, if possible

(L  -20) (L + 15) = 0        so ..  setting the factors to 0, we have that L = 20 and L = -15

Reject the -15

So

L = 20

And the width is 5 less  = 15

CPhill  Mar 1, 2015
 #1
avatar+92674 
+5
Best Answer

We have

L (L-5) = 300  simplify

L^2 - 5L= 300

L^2 - 5L - 300 = 0   factor, if possible

(L  -20) (L + 15) = 0        so ..  setting the factors to 0, we have that L = 20 and L = -15

Reject the -15

So

L = 20

And the width is 5 less  = 15

CPhill  Mar 1, 2015

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