document.write( "Question 609137: how do you solve the following If the area of a rectangle is 13 1/2 units and the length of one of the sides is 1/5 the perimeter what are the values of length and width and how? Thanks so very much. \n" ); document.write( "

Algebra.Com's Answer #383619 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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\n" ); document.write( "solve the following
\n" ); document.write( "If the area of a rectangle is 13 1/2 units and the length of one of the sides is 1/5 the perimeter what are the values of length and width and how?
\n" ); document.write( ":
\n" ); document.write( "\"the area of a rectangle is 13 1/2 units\"
\n" ); document.write( "L*W = 13.5
\n" ); document.write( "L = $\"13.5%2FW\"$
\n" ); document.write( ":
\n" ); document.write( "\"the length of one of the sides is 1/5 the perimeter\"
\n" ); document.write( "L = .2(2L + 2W)
\n" ); document.write( "L = .4L + .4W
\n" ); document.write( "L - .4L = .4W
\n" ); document.write( ".6L = .4W
\n" ); document.write( "Replace L with $\"13.5%2FW\"$
\n" ); document.write( ".6( $\"13.5%2FW\"$ ) = .4W
\n" ); document.write( ":
\n" ); document.write( "Multiply both side by W
\n" ); document.write( ".6(13.5) = .4W^2
\n" ); document.write( "8.1 = .4W^2
\n" ); document.write( "Divide both sides by .4
\n" ); document.write( "20.25 = W^2
\n" ); document.write( "W = $\"sqrt%2820.25%29\"$
\n" ); document.write( "W = 4.5 is the width
\n" ); document.write( "then
\n" ); document.write( " $\"13.5%2F4.5\"$ = 3 units is the length
\n" ); document.write( ":
\n" ); document.write( "what are the values of length and width and how?
\n" ); document.write( "Width = 4.5, length = 3
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "See if that checks out
\n" ); document.write( "3 = .2(2(3)+2(4.5))
\n" ); document.write( "3 = .2(15); checks out \n" ); document.write( "

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