Question 983444: if two opposite sides of a square are each increased by 3 centimeters and the other two sides are each decreased by 2 centimeters, the area is increased by 8 square centimeters. find the length of the side of the square.
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! Side of square=x
area=x^2
now have a rectangle, (x+3)(x-2) is area, or x^2+x-6
But x^2+x-6-8=x^2, since the second is 8 cm^2 larger than the first. The x^2 on each side cancel, and the constants are moved to the right.
x=14 cm
The side of the square is 14 cm
Area is 196 cm^2
rectangle is 17X12=204 cm^2, 8 cm more.
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