document.write( "Question 104940: The perimeter of a rectangle is 120 feet. IF the ratio of the width to length is 5 to 7, find the dimensions of the rectangle. \n" ); document.write( "

Algebra.Com's Answer #76398 by Fombitz(32388) $\"\"$ $\"About$

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P=120 feet
\n" ); document.write( "W/L=5/7
\n" ); document.write( "The perimeter of a rectangle is
\n" ); document.write( " $\"P=2W%2B2L\"$
\n" ); document.write( "You also know
\n" ); document.write( " $\"W%2FL=5%2F7\"$
\n" ); document.write( " $\"W=5L%2F7\"$
\n" ); document.write( "Use that in your perimeter equation,
\n" ); document.write( " $\"P=2W%2B2L=120\"$
\n" ); document.write( " $\"2%285L%2F7%29%2B2L=120\"$
\n" ); document.write( " $\"10L%2F7%2B14L%2F7=120\"$
\n" ); document.write( " $\"24L%2F7=120\"$
\n" ); document.write( " $\"L=120%2A7%2F24\"$
\n" ); document.write( " $\"L=35\"$
\n" ); document.write( "From your previous equation,
\n" ); document.write( " $\"W=5L%2F7\"$
\n" ); document.write( " $\"W=5%2835%29%2F7\"$
\n" ); document.write( " $\"W=25\"$
\n" ); document.write( "Check your answer.
\n" ); document.write( " $\"W%2FL=5%2F7\"$
\n" ); document.write( " $\"25%2F35=5%2F7\"$
\n" ); document.write( " $\"5%2F7=5%2F7\"$
\n" ); document.write( "Good, now check perimeter.
\n" ); document.write( " $\"2W%2B2L=120\"$
\n" ); document.write( " $\"2%2825%29%2B2%2835%29=120\"$
\n" ); document.write( " $\"50%2B70=120\"$
\n" ); document.write( " $\"120=120\"$
\n" ); document.write( "Good answer.
\n" ); document.write( "W=25 feet, L=35 feet. \n" ); document.write( "

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