IKMC 2006 - Grades 11-12 - Self-study Question 30

Question 30

A regular hexagon has side $\sqrt3$. XABC, XPQR are squares. Find the shaded area.

Question illustration

$(5-\sqrt3)/4$
$(\sqrt3+1)/2$
$\sqrt3/4$
$(2-\sqrt3)/4$
$(2+\sqrt3)/4$