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What is the area of rectangle $PQRS$ if the perimeter of rectangle $TVWY$ is 60?

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Official solution

The perimeter of $TVWY$ is 60, so $12r = 60$ or $r = 5$. The area of $PQRS$ is $30 \times 20 = 600$.

Source: Omni-MATH, licensed Apache-2.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.