we know that
if the cake has a rectangular shape, the area is equal to
A=L*W
where
L is the length side o the cake
W is the width of the cake
in this problem
we have
[tex]A=93 \frac{1}{2}\ inches^{2}= \frac{187}{2} \ inches^{2}[/tex]
[tex]W= 8 \frac{1}{2} \ inches = \frac{17}{2} \ inches[/tex]
L=?
A=L*W
solve for L
L=A/W
[tex]L=(187/2)/(17/2)=(187/17)=11 \ inches[/tex]
therefore
the answer is
the length is equal to 11 inches
