UKMT Grey Kangaroo, 2024

Geometry Difficulty 2.0 Junior Find the answer United Kingdom

A square has side-length 10 m. It is divided into parts by three straight line segments, as shown. The areas of the two shaded triangles are $P$ m $^2$ and $Q$ m $^2$ . What is the value of $P - Q$ ?

(A) $0$ (B) $1$ (C) $2$ (D) $5$ (E) $10$

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