document.write( "Question 322580:
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document.write( "If the perimeter of a rectangle is 104 inches and the length is 24 inches longer than the width, what is the length of the rectangle?
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Algebra.Com's Answer #230964 by jessica43(140)![]() ![]() ![]() You can put this solution on YOUR website! To solve this problem you need to use the given information to write two equations and then solve. \n" ); document.write( "First, you know that a rectangle has 4 sides with each of the opposite sides having the same length, and the total perimeter is 104 inches. So: \n" ); document.write( "W+W+L+L = 104 (with W=width and L= length) \n" ); document.write( "or 2W + 2L = 104 \n" ); document.write( "Secondly, we know that the length is 24 inches longer than the width, so: \n" ); document.write( "L = W + 24 \n" ); document.write( "Now you can plug the second equation into the first equation, replacing the L value: \n" ); document.write( "2W + 2L = 104 \n" ); document.write( "2W + 2(W + 24) = 104 \n" ); document.write( "2W + 2W + 48 = 104 \n" ); document.write( "4W + 48 = 104 \n" ); document.write( "4W = 56 \n" ); document.write( "W = 14 \n" ); document.write( "Now plug this into the second equation to find the length: \n" ); document.write( "L = W + 24 \n" ); document.write( "L = 14 + 24 \n" ); document.write( "L = 38 \n" ); document.write( "So the length of the rectangle is 38 inches. \n" ); document.write( " |