document.write( "Question 259568: the diagonal of a rectangle is 60 inches long. if the length of the rectangle is 12 inches greater than the width, find the dimensions. \n" ); document.write( "

Algebra.Com's Answer #191180 by Fombitz(32388) $\"\"$ $\"About$

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1. $\"L%5E2%2BW%5E2=60%5E2\"$
\n" ); document.write( " $\"L=12%2BW\"$
\n" ); document.write( " $\"L%5E2=144%2B24W%2BW%5E2\"$
\n" ); document.write( "Substitute into eq. 1,
\n" ); document.write( "1. $\"L%5E2%2BW%5E2=3600\"$
\n" ); document.write( " $\"144%2B24W%2BW%5E2%2BW%5E2=3600\"$
\n" ); document.write( " $\"2W%5E2%2B24W-3456=0\"$
\n" ); document.write( " $\"W%5E2%2B12W-1728=0\"$
\n" ); document.write( " $\"%28W-36%29%28W%2B48%29=0\"$
\n" ); document.write( " $\"W-36=0\"$
\n" ); document.write( " $\"W=36\"$
\n" ); document.write( "Then,
\n" ); document.write( " $\"L=12%2BW=48\"$
\n" ); document.write( " \n" ); document.write( "

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