Geometry Q: By what factor would lengths of sides have to be

C

Cole1

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Mar 9, 2006
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Hello, Can anyone help me with this problem?

By what factor would the lengths of the sides of a rectangle have to be multiplied in order for the perimeter to be increased from 46 cm to 3687 cm?

I know that 46 times 8 equals 3687. However, I have no idea what the sides of the rectangle are. I can guess the factor should be 2 based on four sides multiplied by 2 would be 8. Am I in the ballpark?
 
\(\displaystyle \L\begin{array}{rcl}
2\lambda L + 2\lambda W & = & 3687 \\
\lambda \left( {2L + 2W} \right) & = & 3687 \\
46\lambda & = & 3687 \\
\lambda & = & ? \\
\end{array}\)
 
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