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UKMT Junior Mathematical Challenge, 2024

Geometry Difficulty 2.0 Junior Find the answer United Kingdom

$PQRS$ is a square with area $100\text{ cm}^2$ . The point $T$ is inside the square. $QRT$ is a triangle with area $24\text{ cm}^2$ . What is the area, in $\text{cm}^2$ , of the triangle $PTS$ ?

(A) $24$ (B) $25$ (C) $26$ (D) $27$ (E) $28$

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