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UKMT Junior Mathematical Challenge, 2025

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

In the diagram, $PQRS$ and $JKLM$ are squares. Each corner of $JKLM$ is one third of the way along an edge of $PQRS$ . What is the ratio of the area of $JKLM$ to the area of $PQRS$ ?

(A) $1:2$ (B) $5:9$ (C) $3:5$ (D) $4:7$ (E) $3:4$

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