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Australian AMC 2021 - Senior Question 26

AMC AUSTRALIA · Australian AMC 2021 - Senior

Question 26

A 70 cm loop of string is arranged around a shape consisting of two adjacent squares, as in the allowed example on the left. The side of the smaller square must lie entirely within a side of the larger one, so the example on the right is not allowed. What is the minimum area of the resulting shape, in square centimetres?

Question illustration