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UKMT Intermediate Mathematical Challenge, 2021

Geometry Difficulty 3.0 AMC 10/12 Find the answer United Kingdom

The diagram shows two overlapping rectangles, each measuring $p$ by $q$ . The area of overlap is exactly one-quarter of the total area of the figure. What is the ratio $p : q$ ?

(A) $5:2$ (B) $4:1$ (C) $3:1$ (D) $2:1$ (E) $3:2$

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