UKMT Pink Kangaroo, 2022

Geometry Difficulty 2.0 Junior Find the answer United Kingdom

Two congruent isosceles right-angled triangles each have squares inscribed in them as shown. The square P has an area of $45$ cm $^2$ . What is the area, in cm $^2$ , of the square R?

(A) $40$ (B) $42$ (C) $45$ (D) $48$ (E) $50$

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