IKMC 2023 - Grades 7-8 - Set 2 - Self-study Question 28

Question 28

A regular hexagon is divided into four quadrilaterals and one smaller regular hexagon. The area of the shaded region and the area of the small hexagon are in the ratio $4/3$. What is the ratio $\frac{\text{area of small hexagon}}{\text{area of big hexagon}}$? Question illustration

$\frac3{11}$
$\frac13$
$\frac23$
$\frac34$
$\frac35$