document.write( "Question 835808: Determine the dimensions (i.e. the length and width) of a rectangle whose diagonal is 25 meters
\n" ); document.write( "and whose perimeter is 62 meters. \n" ); document.write( "

Algebra.Com's Answer #503740 by Fombitz(32388) $\"\"$ $\"About$

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1. $\"D%5E2=L%5E2%2BW%5E2=25%5E2\"$
\n" ); document.write( " $\"P=2%2AL%2B2%2AW=62\"$
\n" ); document.write( "2. $\"L%2BW=31\"$
\n" ); document.write( "From eq. 2,
\n" ); document.write( " $\"L=31-W\"$
\n" ); document.write( "Substitute into eq. 1,
\n" ); document.write( " $\"%2831-W%29%5E2%2BW%5E2=625\"$
\n" ); document.write( " $\"961-62w%2BW%5E2%2BW%5E2=625\"$
\n" ); document.write( " $\"2W%5E2-62W%2B336=0\"$
\n" ); document.write( " $\"W%5E2-31W%2B168=0\"$
\n" ); document.write( " $\"%28W-24%29%28W-7%29=0\"$
\n" ); document.write( "Two solutions:
\n" ); document.write( " $\"W-24=0\"$
\n" ); document.write( " $\"W=24\"$
\n" ); document.write( "Then from eq. 2,
\n" ); document.write( " $\"L%2B24=31\"$
\n" ); document.write( " $\"L=7\"$
\n" ); document.write( "and
\n" ); document.write( " $\"W-7=0\"$
\n" ); document.write( " $\"W=7\"$
\n" ); document.write( "then $\"L=24\"$ \n" ); document.write( "

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