SOLUTION: A square is transformed into a rectangle by decreasing the length of two of its parallel sides by 6 centimeters, and by decreasing the length of its other two parallel sides by 5 c

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Question 718533: A square is transformed into a rectangle by decreasing the length of two of its parallel sides by 6 centimeters, and by decreasing the length of its other two parallel sides by 5 centimeters. If the area of the rectangle is 6 square centimeters, find the set of all possible lengths of the sides of the original square.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Original length of each side, x.
%28x-5%29%28x-6%29=6, only shows the area of the rectangle after shortening side lengths of the original x by x square.

x^2-11x+30=6
x^2-11x+24=0
%28x-3%29%28x-8%29=0

x would make no sense if it were 3. Only highlight%28x=8%29 makes any sense.
Check: (8-6)(8-5)=2*3=6