SOLUTION: A square has an area of 256 cm^2. If the same amount is removed from one dimension and added to the other, the resulting rectangle has an area 16 cm^2 less. Find the dimensions of

Question 932584: A square has an area of 256 cm^2. If the same amount is removed from one dimension and added to the other, the resulting rectangle has an area 16 cm^2 less. Find the dimensions of the rectangle.
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!

given:
area of a square is
Let's represent each side as "".
Let's represent the amount added and subtracted as "".
if amount is removed from one dimension and added to the other, one side of rectangle will be: and other side will be
then the measure of the side of square is , or the square is by

The equation that can be set up is:
the area of a square is
the area of a rectangle is
since the resulting rectangle has an area less, we have:
.........solve for
...............the cancels out leaving us:
.... divide both sides by

so, the length of the rectangle is and
the width of the rectangle is
Therefore we can solve this rectangle size as by .
The area comes out to be

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