document.write( "Question 4714: perimeter of a rectangle is 22 inches and its length is 4 inches less than twice its width. Set up a system of linear equations and solve to find the dimensions of the rectangle. \n" ); document.write( "
Algebra.Com's Answer #2229 by rapaljer(4671)![]() ![]() You can put this solution on YOUR website! I think there is an error in the previously posted solution.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let W = Width of the rectangle \n" ); document.write( "L = Length of the rectangle\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Perimeter: 2W + 2L = 22 \n" ); document.write( "2nd Equation: L = 2W - 4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Solve by substituting L from the second equation into the first equation: \n" ); document.write( "2W + 2(_____) = 22 \n" ); document.write( "2W + 2(2W -4) = 22 \n" ); document.write( "2W + 4W - 8 = 22 \n" ); document.write( "2W = 30 \n" ); document.write( "W= 5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Substitute into second equation: \n" ); document.write( "L = 2W - 4 \n" ); document.write( "L = 2(5) - 4 \n" ); document.write( "L = 10 - 4 = 6\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Check: \n" ); document.write( "P = 2W + 2L \n" ); document.write( "P = 2(5) + 2(6) \n" ); document.write( "P = 10 + 12 = 22\r \n" ); document.write( "\n" ); document.write( "AND \n" ); document.write( "L = 2W - 4 \n" ); document.write( "6 = 2(5) - 4 \n" ); document.write( "6 = 10 - 4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "R^2 at SCC \n" ); document.write( " \n" ); document.write( " |