IKMC 2016 - Grades 9-10 - Self-study Question 23

Question 23

The unit square is divided into a 3 × 3 grid in figure 1. Four segments are drawn in figure 2. What is the area of the shaded square?

Question illustration

$1/3$
$2/5$
$3\sqrt2/10$
$\sqrt3/4$
$4/9$