document.write( "Question 1061539: Hi, please help me solve this using the systems of equations. Thank you!\r
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document.write( "The perimeter of a rectangle rug is 40 ft and the area is 96 ft^2. Find the dimensions of the rug. \n" );
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Algebra.Com's Answer #676317 by ikleyn(52781)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "The system of equations is \r\n" ); document.write( "\r\n" ); document.write( "2L + 2W = 40,\r\n" ); document.write( "LW = 96.\r\n" ); document.write( "\r\n" ); document.write( "Or\r\n" ); document.write( "\r\n" ); document.write( "L + W = 20,\r\n" ); document.write( "LW = 96.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Answer. 12 and 8.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solve by substitution \r \n" ); document.write( "\n" ); document.write( "L = 20- W,\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(20-W)*W = 96, or\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "W^2 - 20W + 96 = 0,\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(W-12)*(W-8) = 0.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Etc. . . . \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |