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UKMT Junior Mathematical Challenge, 2017

Geometry Difficulty 2.0 Junior Find the answer United Kingdom

The diagram shows a rectangle PQRSPQRS and TT is a point on PSPS such that QTQT is perpendicular to RTRT. The length of QTQT is 4 cm. The length of RTRT is 2 cm. What is the area of the rectangle PQRSPQRS?

(A) 6 cm26\text{ cm}^2 (B) 8 cm28\text{ cm}^2 (C) 10 cm210\text{ cm}^2 (D) 12 cm212\text{ cm}^2 (E) 16 cm216\text{ cm}^2

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