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UKMT Junior Mathematical Challenge, 2025

Geometry Difficulty 2.0 Junior Find the answer United Kingdom

Two identical squares, $PQRS$ and $TUVW$ , overlap to form the $21\text{ cm}$ by $12\text{ cm}$ rectangle $PQVW$ shown. What is the area, in $\text{cm}^2$ , of the shaded rectangle $TURS$ ?

(A) $24$ (B) $36$ (C) $48$ (D) $72$ (E) $96$

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