document.write( "Question 967663: Hello, could someone please help me solve this problem. Thank you in advance.\r
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\n" ); document.write( "\n" ); document.write( "Problem:\r
\n" ); document.write( "\n" ); 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.
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Algebra.Com's Answer #591438 by Horlaye(27)\"\" \"About 
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.
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