VTMO 2015 — Grade 7 — semifinal Question 16

Question 16

$PQR$ is right isosceles at $Q$. $QS , TU , VW$ are perpendicular to $PR$, and $ST , UV$ perpendicular to $QR$ as shown. Find shaded area divided by area $PQR$.

Question illustration

$\frac{3}{16}$
$\frac{3}{8}$
$\frac{5}{16}$
$\frac{5}{32}$
$\frac{7}{32}$