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UKMT Junior Kangaroo, 2019

Geometry Difficulty 2.0 Junior Find the answer United Kingdom

In the diagram, $PQRS$ is a square of side 10 cm. The distance $MN$ is 6 cm. The square is divided into four congruent isosceles triangles, four congruent squares and the shaded region.

What is the area of the shaded region?

(A) $42$ cm $^2$ (B) $46$ cm $^2$ (C) $48$ cm $^2$ (D) $52$ cm $^2$ (E) $58$ cm $^2$

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