document.write( "Question 280802: The width of a rectangle is 6 inches less than one-half the length. Find the length and the width of the rectangle if the perimeter of the rectangle is 72 inches. \n" ); document.write( "
Algebra.Com's Answer #204055 by oberobic(2304)![]() ![]() ![]() You can put this solution on YOUR website! w = width \n" ); document.write( "l = length \n" ); document.write( "w = 1/2*l - 6 \n" ); document.write( "P = 2(l+w) = 72 \n" ); document.write( "2l + 2w = 72 \n" ); document.write( ". \n" ); document.write( "substitute w = 1/2*l -6 \n" ); document.write( ". \n" ); document.write( "2l + 2w= 72 \n" ); document.write( "2l + 2(1/2*l - 6) = 72 \n" ); document.write( "2l + l - 12 = 72 \n" ); document.write( "3l = 84 \n" ); document.write( "l= 28 \n" ); document.write( ". \n" ); document.write( "w = 1/2*l -6 = 1/2*28 - 6 = 14-6 = 8 \n" ); document.write( ". \n" ); document.write( "checking \n" ); document.write( "2l + 2w = 72? \n" ); document.write( "2l = 2*28 = 56 \n" ); document.write( "2w = 2*8 = 16 \n" ); document.write( "56+16= 72 \n" ); document.write( "Correct. \n" ); document.write( ". \n" ); document.write( "Answer: \n" ); document.write( "length = 28 \n" ); document.write( "width = 8 \n" ); document.write( ". \n" ); document.write( "Done \n" ); document.write( " |