document.write( "Question 950064: If rectangle ABCD has an area of 10 square inches and a perimeter of 22 inches. What is the length and width? \n" ); document.write( "

Algebra.Com's Answer #580067 by Fombitz(32388) $\"\"$ $\"About$

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Area:
\n" ); document.write( " $\"L%2AW=10\"$
\n" ); document.write( "Perimeter:
\n" ); document.write( " $\"2L%2B2W=22\"$
\n" ); document.write( " $\"L%2BW=11\"$
\n" ); document.write( "Substitute from first equation,
\n" ); document.write( " $\"10%2FW%2BW=11\"$
\n" ); document.write( " $\"10%2BW%5E2=11W\"$
\n" ); document.write( " $\"W%5E2-11W%2B10=0\"$
\n" ); document.write( " $\"%28W-10%29%28W-1%29%29%29=0\"$
\n" ); document.write( "Two solutions,
\n" ); document.write( " $\"W-10=0\"$
\n" ); document.write( " $\"W=10\"$
\n" ); document.write( "Then,
\n" ); document.write( " $\"L%2B10=11\"$
\n" ); document.write( " $\"L=1\"$
\n" ); document.write( "and
\n" ); document.write( " $\"W-1=0\"$
\n" ); document.write( " $\"W=1\"$
\n" ); document.write( "Then,
\n" ); document.write( " $\"L%2B1=11\"$
\n" ); document.write( " $\"L=10\"$
\n" ); document.write( " \n" ); document.write( "

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