UKMT Intermediate Mathematical Challenge, 2015

The figure shows four smaller squares in the corners of a large square. The smaller squares have sides of length 1 cm, 2 cm, 3 cm and 4 cm (in anticlockwise order) and the sides of the large square have length 11 cm. What is the area of the shaded quadrilateral?

(A) $35\text{ cm}^2$ (B) $36\text{ cm}^2$ (C) $37\text{ cm}^2$ (D) $38\text{ cm}^2$ (E) $39\text{ cm}^2$