IKMC 2008 - Grades 7-8 - Self-study Question 17

Question 17

Four tangent circles of radius 6 cm lie in a row inside the rectangle shown. P is the upper-right vertex, Q and R are the indicated tangency points. Find the area of triangle PQR.

Question illustration

$27\text{ cm}^2$
$45\text{ cm}^2$
$54\text{ cm}^2$
$108\text{ cm}^2$