Answer
$\frac{9}{4}$=$\frac{L}{52}$; 117 mm
Work Step by Step
You are given the proportion of length to width, so:
$\frac{9}{4}$=$\frac{L}{W}$
You are also given the width, so substitute in for w:
$\frac{9}{4}$=$\frac{L}{52}$
Cross multiply to solve for the length:
4L=9(52)
4L=468
L=117 mm