document.write( "Question 944377: a rectangle with perimeter 16 has a diagonal of 2radical10. find the length of the longer side of the rectangle
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Algebra.Com's Answer #576607 by Fombitz(32388) $\"\"$ $\"About$

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$\"P=2%28L%2BW%29=16\"$
\n" ); document.write( " $\"L%2BW=8\"$
\n" ); document.write( "and
\n" ); document.write( " $\"L%5E2%2BW%5E2=%282sqrt%2810%29%29%5E2\"$
\n" ); document.write( " $\"L%5E2%2BW%5E2=40\"$
\n" ); document.write( "From eq. 1,
\n" ); document.write( " $\"L=8-W\"$
\n" ); document.write( " $\"L%5E2=%288-W%29%5E2\"$
\n" ); document.write( " $\"L%5E2=64-16W%2BW%5E2\"$
\n" ); document.write( "Substituting,
\n" ); document.write( " $\"64-16W%2BW%5E2%2BW%5E2=40\"$
\n" ); document.write( " $\"2W%5E2-16W%2B24=0\"$
\n" ); document.write( " $\"W%5E2-8W%2B12=0\"$
\n" ); document.write( " $\"%28W-6%29%28W-2%29=0\"$
\n" ); document.write( "So then,
\n" ); document.write( " $\"W-6=0\"$
\n" ); document.write( " $\"W=6\"$
\n" ); document.write( "Then,
\n" ); document.write( " $\"L=8-6\"$
\n" ); document.write( " $\"L=2\"$
\n" ); document.write( "and
\n" ); document.write( " $\"W-2=0\"$
\n" ); document.write( " $\"W=2\"$
\n" ); document.write( "and
\n" ); document.write( " $\"L=8-2\"$
\n" ); document.write( " $\"L=6\"$
\n" ); document.write( "The rectangle is 6 x 2.
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