Australian AMC 2018 - Senior Question 25

Question 25

A right-angled triangle with sides of length 3, 4 and 5 is tiled by infinitely many right-angled triangles, as shown.

What is the shaded area?

Question illustration

$\frac{18}7$
$\frac{54}{25}$
$\frac83$
$\frac{27}{17}$
$\frac{96}{41}$