document.write( "Question 1021952: The width of a rectangle is 1/2 meter less than 1/2 its length. The area is 21m^2. What are the dimensions? \n" ); document.write( "

Algebra.Com's Answer #637800 by Fombitz(32388) $\"\"$ $\"About$

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$\"A=L%2AW=21\"$
\n" ); document.write( " $\"W=L%2F2-1%2F2\"$
\n" ); document.write( "Substituting,
\n" ); document.write( " $\"L%28L%2F2-1%2F2%29=21\"$
\n" ); document.write( " $\"L%28L-1%29=42\"$
\n" ); document.write( " $\"L%5E2-L-42=0\"$
\n" ); document.write( " $\"%28L-7%29%28L%2B6%29=0\"$
\n" ); document.write( "Only the positive L makes sense in this problem.
\n" ); document.write( " $\"L-7=0\"$
\n" ); document.write( " $\"L=7\"$ $\"m\"$
\n" ); document.write( "Then,
\n" ); document.write( " $\"W=7%2F2-1%2F2\"$
\n" ); document.write( " $\"W=6%2F2\"$
\n" ); document.write( " $\"W=3\"$ $\"m\"$ \n" ); document.write( "

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