Australian AMC 2009 - Senior Question 22

Question 22

What is the area, in square centimetres, of the parallelogram that would fit snugly around 6 circles, each of radius 3 cm, as shown in the diagram?

Question illustration

$108$
$8(4+3\sqrt3)$
$15(2+\sqrt3)$
$12(9+5\sqrt3)$
$216$