document.write( "Question 1025334: the length of a rectangle is 1 inch less than the width. the area of the rectangle is 21 square inches. what is the length of the rectangle? \n" ); document.write( "

Algebra.Com's Answer #640789 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"L=W-1\"$
\n" ); document.write( ".
\n" ); document.write( ".\r
\n" ); document.write( "\n" ); document.write( " $\"L%2AW=21\"$ \r
\n" ); document.write( "\n" ); document.write( "Substituting,
\n" ); document.write( " $\"%28W-1%29W=21\"$
\n" ); document.write( " $\"W%5E2-W-21=0\"$
\n" ); document.write( " $\"W%5E2-W%2B1%2F4-21=1%2F4\"$
\n" ); document.write( " $\"%28W-1%2F2%29%5E2=1%2F4%2B21\"$
\n" ); document.write( " $\"%28W-1%2F2%29%5E2=1%2F4%2B84%2F4\"$
\n" ); document.write( " $\"%28W-1%2F2%29%5E2=85%2F4\"$
\n" ); document.write( " $\"W-1%2F2=0+%2B-+sqrt%2885%29%2F2\"$
\n" ); document.write( " $\"W=1%2F2+%2B-+sqrt%2885%29%2F2\"$
\n" ); document.write( "Only the positive answer makes sense here.
\n" ); document.write( " $\"highlight%28W=%281%2Bsqrt%2885%29%29%2F2%29\"$
\n" ); document.write( " $\"L=%281%2Bsqrt%2885%29%29%2F2-1\"$
\n" ); document.write( " $\"L=%281%2Bsqrt%2885%29-2%29%2F2\"$
\n" ); document.write( " $\"highlight_green%28L=%28sqrt%2885%29-1%29%2F2%29\"$
\n" ); document.write( " \n" ); document.write( "

\n" );