document.write( "Question 1085701: What is The side length for a rectangle With an area of 1 and a circumference of 100? Plz help
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Algebra.Com's Answer #699771 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Circumference is a term reserved for the perimeter of a circle.
\n" ); document.write( "I'm assuming you mean the perimeter of the rectangle.
\n" ); document.write( " $\"P=2%28L%2BW%29\"$
\n" ); document.write( " $\"2%28L%2BW%29=100\"$
\n" ); document.write( " $\"L%2BW=50\"$
\n" ); document.write( " $\"L=50-W\"$
\n" ); document.write( "and
\n" ); document.write( " $\"LW=1\"$
\n" ); document.write( "Substituting from above,
\n" ); document.write( " $\"%2850-W%29W=1\"$
\n" ); document.write( " $\"-W%5E2%2B50W=1\"$
\n" ); document.write( " $\"W%5E2-50W%2B1=0\"$
\n" ); document.write( " $\"%28W%5E2-50W%2B625%29%2B1=625\"$
\n" ); document.write( " $\"%28W-25%29%5E2=624\"$
\n" ); document.write( " $\"W-25=0+%2B-+sqrt%28624%29\"$
\n" ); document.write( " $\"W=25%2B-4sqrt%2839%29\"$
\n" ); document.write( "So then,
\n" ); document.write( " $\"L=50-%2825%2B-4sqrt%2839%29%29\"$
\n" ); document.write( " $\"L=25+%2B-+4sqrt%2839%29\"$
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\n" ); document.write( "So the two sides of the rectangle are $\"25-4sqrt%2839%29\"$ and $\"25%2B4sqrt%2839%29\"$ .
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