SOLUTION: If a square is enlarged to a rectangle by lengthening one pair of sides 2 centimeters and the other pair of sides 3 centimeters, the area is increased by 36 square centimeters. Fin
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Question 914444: If a square is enlarged to a rectangle by lengthening one pair of sides 2 centimeters and the other pair of sides 3 centimeters, the area is increased by 36 square centimeters. Find the dimension of the original square.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
If a square is enlarged to a rectangle by lengthening one pair of sides 2 centimeters and the other pair of sides 3 centimeters, the area is increased by 36 square centimeters. Find the dimension of the original square.
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let x=length of side of original square.
x+2=width of enlarged rectangle
x+3=length of enlarged rectangle
(x+3)(x+2)-x^2=36
x^2+5x+6-x^2=36
5x+6=36
5x=30
x=6
dimension of the original square: 6 cm by 6 cm
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