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AMO 2027 Grades 8-9 SET 9 - Self-study Question 4

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

Question 4

A $5\times7$ rectangle is partitioned into $1\times1$ squares. Then two opposite $1\times1$ corner squares are removed resulting in the figure below. How many squares with integer length sides can be found using the line segments in the resulting figure?

Question illustration