SOLUTION: transform a square by increasing one side by 4 units and decreasing the other side by 2 units. It the resulting square equals 16, how many units long was the side of the original

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Question 530306: transform a square by increasing one side by 4 units and decreasing the other side by 2 units. It the resulting square equals 16, how many units long was the side of the original square?
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
If x = the length of the side of the original square, then the area of the new quadrilateral can be expressed as:
%28x%2B4%29%28x-2%29+=+16 Simplify.
x%5E2%2B2x-8+=+16 Subtract 16 from both sides.
x%5E2%2B2x-24+=+0 Solve by factoring.
%28x%2B6%29%28x-4%29+=+0 Apply the zero product rule.
x%2B6+=+0 or x-4+=+0 so...
x+=+-6 or x+=+4 Discard the negative solution as the length must be a positive value.
x+=+4units.