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AMO 2027 Grades 8-9 SET 18 - Self-study Question 10

AMO · AMO 2027 Grades 8-9 SET 18 - Self-study

Question 10

Exercise 5. As shown, the overlap of rectangles $ABCD$ and $EFGH$ is also a rectangle. The area of $ABCD$ is $174\text{cm}^2$ and the area of $EFGH$ is $52\text{cm}^2$, $EF=13$cm and $BC=29$cm. What is the area, in $\text{cm}^2$, of the entire figure?

**Editorial input convention:** Use the complete crossing shown: the two perpendicular rectangular strips each extend beyond the other on both sides of their rectangular overlap. Enter the union area, counting overlap once.

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