Answer
The dimensions of the flag are $40\,\text{inches}$ and $55\,\text{inches}$.
Work Step by Step
$\text{Perimeter}=2(\text{length}+\text{breadth})=2(y+\frac{11}{8}y)$
$\implies 190=2(y+\frac{11}{8}y)$
$\implies 190=2(\frac{19}{8}y)$
$\implies 190=\frac{38}{8}y$
Multiplying on both sides by $\frac{8}{38}$, we get
$y=190\times\frac{8}{38}=40$
In units, $y=40\,\text{inches}$
The dimensions of the flag are $y=40\,\text{inches}$ and $\frac{11}{8}y=\frac{11}{8}\times40=55\,\text{inches}$.
