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AMO 2027 Grades 8-9 SET 5 - Self-study Question 2

AMO · AMO 2027 Grades 8-9 SET 5 - Self-study

Question 2

Each figure in the sequence is composed entirely of $1\times1$ shaded squares

In the 28th figure, given that the ratio (in simplest form) of the area of the inner shaded rectangle to the area of the outermost rectangle is $m/n$, what is the value of $mn$?

Question illustration