document.write( "Question 416075: How would the equation for the following problem be written?
\n" ); document.write( "The length of a rectangle is 8 cm more than 3 times its width. The perimeter of the rectangle is 64 cm. \n" ); document.write( "
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\"How would the equation for the following problem be written?
\n" ); document.write( "The length of a rectangle is 8 cm more than 3 times its width. The perimeter of the rectangle is 64 cm.\"\r
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\n" ); document.write( "\n" ); document.write( "x = width
\n" ); document.write( "3x + 8 = length {length is 8 more than 3 times width}\r
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\n" ); document.write( "\n" ); document.write( "Perimeter of a rectangle = (2 x width) + (2 x length)\r
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\n" ); document.write( "\n" ); document.write( "2x + 2(3x + 8) = 64 {perimeter = 2(width) + 2(length)}
\n" ); document.write( "2x + 6x + 16 = 64 {used distributive property}
\n" ); document.write( "8x + 16 = 64 {combined like terms}
\n" ); document.write( "8x = 48 {subtracted 16 from both sides}
\n" ); document.write( "x = 6 {divided both sides by 8}
\n" ); document.write( "3x + 8 = 26 {substituted 6, in for x, into 3x + 8}\r
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\n" ); document.write( "\n" ); document.write( "width = 6 and length = 26
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