SOLUTION: A rectangular patio is 9 ft by 6 ft. When the length and width are increased by the same amount, the area becomes 88 sq ft. Ginger is using the zero product property to solve the e

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Question 930997: A rectangular patio is 9 ft by 6 ft. When the length and width are increased by the same amount, the area becomes 88 sq ft. Ginger is using the zero product property to solve the equation (6 + x)(9 + x) = 88. What do her solutions represent?

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

%286+%2B+x%29%289+%2B+x%29+=+88
54+%2B+6x%2B9x+%2B+x%5E2+=+88
x%5E2%2B15x%2B54+=+88
x%5E2%2B15x%2B54-88=0
x%5E2%2B15x-34=0...write 15x as -2x%2B17x
x%5E2-2x%2B17x-34=0...group
%28x%5E2-2x%29%2B%2817x-34%29=0....factor
x%28x-2%29%2B17%28x-2%29=0
%28x%2B17%29%28x-2%29=0
solutions:
if x%2B17=0=> x=-17...disregard negative solution: we are looking for the length and width
if x-2=0=> x=2
When the length and width are increased, a rectangular patio is 11ft by 8ft and its area is 11ft%2A8ft=88ft%5E2