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UKMT Junior Kangaroo, 2017

Geometry Difficulty 2.0 Junior Find the answer United Kingdom

In the diagram, $PQRS$ and $WXYZ$ are congruent squares. The sides $PS$ and $WZ$ are parallel. The shaded area is equal to $1$ cm $^2$ . What is the area of square $PQRS$ ?

(A) $1$ cm $^2$ (B) $2$ cm $^2$ (C) $\frac{1}{2}$ cm $^2$ (D) $1\frac{1}{2}$ cm $^2$ (E) $\frac{3}{4}$ cm $^2$

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