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UKMT Junior Kangaroo, 2025

Geometry Difficulty 2.0 Junior Find the answer United Kingdom

A rectangular swimming pool of length $20$ m is surrounded on all four sides by a path $2$ m wide. The area of the path is the same as the area of the pool. What is the width, in metres, of the pool?

(A) $6.5$ (B) $6$ (C) $5.5$ (D) $5$ (E) $4.5$

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