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UKMT Junior Kangaroo, 2016

Geometry Difficulty 2.0 Junior Find the answer United Kingdom

The square $ABCD$ consists of four congruent rectangles arranged around a central square. The perimeter of each of the rectangles is 40 cm. What is the area of the square $ABCD$ ?

(A) $400$ cm $^2$ (B) $200$ cm $^2$ (C) $160$ cm $^2$ (D) $120$ cm $^2$ (E) $80$ cm $^2$

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