document.write( "Question 945365: The length of a rectangle is 7 meters more than its width. A diagonal of the rectangle measures 17 meters. Use algebraic methods to find the width and length of the rectangle. \n" ); document.write( "

Algebra.Com's Answer #576594 by Fombitz(32388) $\"\"$ $\"About$

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The length, width, and diagonal form a right triangle.
\n" ); document.write( " $\"L%5E2%2BW%5E2=D%5E2\"$
\n" ); document.write( " $\"%28W%2B7%29%5E2%2BW%5E2=17%5E2\"$
\n" ); document.write( " $\"W%5E2%2B14W%2B49%2BW%5E2=289\"$
\n" ); document.write( " $\"2W%5E2%2B14W-240=0\"$
\n" ); document.write( " $\"W%5E2%2B7W-120=0\"$
\n" ); document.write( " $\"%28W%2B15%29%28W-8%29=0\"$
\n" ); document.write( "Only positive solutions make sense here.
\n" ); document.write( " $\"W-8=0\"$
\n" ); document.write( " $\"W=8\"$
\n" ); document.write( "So then,
\n" ); document.write( " $\"L=8%2B7\"$
\n" ); document.write( " $\"L=15\"$
\n" ); document.write( " \n" ); document.write( "

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