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AMO 2016 Secondary 1 (Grade 7) Question 9

AMO · AMO 2016 Secondary 1 (Grade 7)

Question 9

A rug is in the shape of an equilateral triangle with sides of length 10 feet. The rug is entirely composed of 100 equilateral triangular patches with sides of length 1 foot. How many of the smaller patches have one or more of their sides on the perimeter of the large rug?

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