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IMSO 2005 Mathematics Contest in Taiwan – Short Answer Question 8

IMSO Maths · IMSO 2005 Mathematics Contest in Taiwan – Short Answer

Question 8

The diagram is made from two overlapping squares. The lighter shaded area comprises $\frac{73}{75}$ of the larger square and the darker area $\frac{14}{15}$ of the smaller square. What is the ratio of the area of the smaller square to the area of the larger square?

Question illustration