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AMO · 2027 · Grades 6-7 · Self-study SET 28 Question 11

AMO

Question 11

Two identical rectangular cards partially overlap. Their overlap is a square of area $4\text{ cm}^2$. The total area of the non-overlapping portions of the two cards is $12\text{ cm}^2$. What is the area of one card, in square centimetres?

**Input:** Enter the integer only, without units.