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) (Show Source): You can put this solution on YOUR website!
Original length of each side, x.
, 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
x would make no sense if it were 3. Only makes any sense.
Check: (8-6)(8-5)=2*3=6
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