document.write( "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? \n" ); document.write( "
Algebra.Com's Answer #350005 by Earlsdon(6294)\"\" \"About 
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:
\n" ); document.write( "\"%28x%2B4%29%28x-2%29+=+16\" Simplify.
\n" ); document.write( "\"x%5E2%2B2x-8+=+16\" Subtract 16 from both sides.
\n" ); document.write( "\"x%5E2%2B2x-24+=+0\" Solve by factoring.
\n" ); document.write( "\"%28x%2B6%29%28x-4%29+=+0\" Apply the zero product rule.
\n" ); document.write( "\"x%2B6+=+0\" or \"x-4+=+0\" so...
\n" ); document.write( "\"x+=+-6\" or \"x+=+4\" Discard the negative solution as the length must be a positive value.
\n" ); document.write( "\"x+=+4\"units.
\n" ); document.write( "
\n" );