IKMC 2016 - Grades 7-8 - Self-study Question 8

Question 8

ABCD is a rectangle; M, N are midpoints of AB, CD respectively. The circles touch the rectangle sides and each other. If AB=10 cm, what is the area of the grey region?

Question illustration

$\frac{25\pi}4\text{ cm}^2$
$20\text{ cm}^2$
$50-\frac{25\pi}4\text{ cm}^2$
$25\text{ cm}^2$
$5\text{ cm}^2$