document.write( "Question 94377This question is from textbook Algebra 1
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document.write( ": The expression 2(l+ w) may be used to find the perimeter of a rectangle. What are the length and width of a rectangle if the area is 13 1/2 square units and the length of one side is 1/5 the measure of the perimeter? \n" );
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Algebra.Com's Answer #68732 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! The expression 2(l+ w) may be used to find the perimeter of a rectangle. What are the length and width of a rectangle if the area is 13 1/2 square units and the length of one side is 1/5 the measure of the perimeter? \n" ); document.write( ": \n" ); document.write( "Using decimal for 1/5. L = .2 * perimeter: \n" ); document.write( "L = .2(2(L+W)) \n" ); document.write( "L = .4(L+W) \n" ); document.write( "L = .4L + .4W \n" ); document.write( "1L - .4L = .4W \n" ); document.write( ".6L = .4W \n" ); document.write( ": \n" ); document.write( "Area is given as 13.5 sq units \n" ); document.write( "L * W = 13.5 \n" ); document.write( "W = 13.5/L \n" ); document.write( ": \n" ); document.write( "Substitute (13.5/L) for W in the .6L = .4W equation \n" ); document.write( ".6L = .4 \n" ); document.write( ".6L = \n" ); document.write( "Multiply equation by L \n" ); document.write( " \n" ); document.write( ": \n" ); document.write( "Divide both sides by .6 \n" ); document.write( " \n" ); document.write( ": \n" ); document.write( " \n" ); document.write( "L = \n" ); document.write( "L = 3 \n" ); document.write( ": \n" ); document.write( "Find W: \n" ); document.write( "W = 13.5/3 \n" ); document.write( "W = 4.5 units \n" ); document.write( ": \n" ); document.write( "Perimeter = 2(3) + 2(4.5) = 15 \n" ); document.write( "Length/Perimeter: 3/15 = 1/5 \n" ); document.write( " \n" ); document.write( " |