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UKMT Junior Kangaroo, 2025

Geometry Difficulty 2.0 Junior Find the answer United Kingdom

The perimeter of the rectangle $PQRS$ is $30$ cm. A new shape is formed by placing three other rectangles so that their centres are at the points $P$ , $Q$ and $S$ , as shown in the diagram. The sum of the perimeters of the three added rectangles is $20$ cm. What is the total perimeter of the new shape?

(A) $50$ cm (B) $45$ cm (C) $40$ cm (D) $35$ cm (E) $33$ cm

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