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UKMT Intermediate Mathematical Challenge, 2026

Geometry Difficulty 2.0 Junior Find the answer United Kingdom

Two identical $1 \times 2$ rectangles overlap as in the figure on the right. What is the area of the common (shaded) part?

(A) $\dfrac{5}{4}$ (B) $\dfrac{4}{5}$ (C) $1$ (D) $\dfrac{6}{5}$ (E) $\dfrac{1+\sqrt{5}}{2}$

Figure for this problem

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