document.write( "Question 1137108: the length of a rectangle is 4 m longer than its width. if the perimeter of the rectangle is 56 m, find its length and width \n" ); document.write( "
Algebra.Com's Answer #754932 by addingup(3677)![]() ![]() You can put this solution on YOUR website! 2L + 2W = Perimeter \n" ); document.write( "2L + 2W = 56 \n" ); document.write( "and the problem says that: \n" ); document.write( "L = W + 4 \n" ); document.write( "so let's substitute for Length in the equation above: \n" ); document.write( "2(W + 4) + 2W = 56 \n" ); document.write( "2W + 8 + 2W = 56 \n" ); document.write( "4W = 48 \n" ); document.write( "W = 12 this is our width. Now find the length: \n" ); document.write( "L = W + 4 = 12 + 4 = 16 this is our length \n" ); document.write( "-------------------------- \n" ); document.write( "Check: \n" ); document.write( "2L = 2W = 56 \n" ); document.write( "2(16) + 2(12) = 56 \n" ); document.write( "32 + 24 = 56 Correct \n" ); document.write( " |