document.write( "Question 967663: Hello, could someone please help me solve this problem. Thank you in advance.\r
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document.write( "Problem:\r
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document.write( "The perimeter of a rectangle is 36 m. The length is 2 m more than three times the width. Find the length and width of the rectangle. \n" );
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Algebra.Com's Answer #591438 by Horlaye(27)![]() ![]() You can put this solution on YOUR website! Formula for perimeter of a rectangle is 2(l+w). \n" ); document.write( " From the first sentence \n" ); document.write( " 2(l+w) = 36 \n" ); document.write( " 2l + 2w = 36.........(1) \n" ); document.write( " From the second sentence \n" ); document.write( " l is 2 more than 3w \n" ); document.write( " l - 3w = 2.........(2) \n" ); document.write( " Multiply equation (1) by 3 and (2) by 2 \n" ); document.write( " 6l + 6w = 108......(4) \n" ); document.write( " 2l - 6w = 4.......(5) \n" ); document.write( " Add up both equation \n" ); document.write( " 8l = 112 \n" ); document.write( " Divide both sides by 8 \n" ); document.write( " l = 112/8 \n" ); document.write( " l = 14 \n" ); document.write( " Substitute l = 14 in equation (2) \n" ); document.write( " l - 3w = 2 \n" ); document.write( " 14 - 3w = 2 \n" ); document.write( " Collect like terms \n" ); document.write( " -3w = 2 - 14 \n" ); document.write( " -3w = -12 \n" ); document.write( " Divide both sides by -3 \n" ); document.write( " w = -12/-3 \n" ); document.write( " w = 4 \n" ); document.write( "The length and width of the rectangle is 14 and 4 respectively. \n" ); document.write( " |