#### Answer

$\frac{38}{17}$

#### Work Step by Step

Length of the longest side to the length of the shortest side
As per Values given
9$\frac{1}{2}$ in to 4$\frac{1}{4}$ in
(9$\frac{1}{2}$ in)/(4$\frac{1}{4}$ in) = (9$\frac{1}{2}$)/(4$\frac{1}{4}$)= (19/2)/(17/4)=$\frac{19}{2}$× $\frac{4}{17}$= $\frac{38}{17}$