Maths Olympiad Prep

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Geometry Difficulty 2.0 Junior Find the answer United Kingdom

Harriet has a square piece of paper. She folds it in half to form a rectangle and then in half again to form a second rectangle (which is not a square). The perimeter of the second rectangle is 30 cm30\text{ cm}. What is the area of the original square?

(A) 36 cm236\text{ cm}^2 (B) 64 cm264\text{ cm}^2 (C) 81 cm281\text{ cm}^2 (D) 100 cm2100\text{ cm}^2 (E) 144 cm2144\text{ cm}^2

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