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2021 IIMC keystage3-IWYMIC team Question 7

xIMC · 2021 IIMC keystage3-IWYMIC team

Question 7

In the diagram below, $ABC$ is a triangle where $AB=60$ cm and $AC=68$ cm. $PQRS$ is a square where $AP=50$ cm, $AR=46$ cm and $Q$ is the mid-point of $BC$. What is the ratio of the area of $PQRS$ to the area of $ABC$?

Question illustration