document.write( "Question 417178: The length of a rectangule is 2 cm more than 5 times the width, the perimeter is 196 cm. find the width and length \n" ); document.write( "
Algebra.Com's Answer #292150 by jsmallt9(3758)\"\" \"About 
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Let x = the width
\n" ); document.write( "Then the length which is \"2 cm more than 5 times the width\" would be: 2+5x
\n" ); document.write( "The perimeter is is the sum of 2 lengths and 2 widths. So
\n" ); document.write( "196 = 2*x + 2*(2+5x)
\n" ); document.write( "which simplifies to:
\n" ); document.write( "196 = 2x + 4 + 10x
\n" ); document.write( "196 = 12x + 4
\n" ); document.write( "Subtracting 4 from each side:
\n" ); document.write( "192 = 12x
\n" ); document.write( "Dividing both sides by 12:
\n" ); document.write( "16 = x
\n" ); document.write( "Since x was the width, the width is 16. The length is 2+5x. Since x = 16, the length would be 2 + 5(16) = 1 + 80 = 82.

\n" ); document.write( "So width = 16cm and length = 82cm.
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