The diagram shows two congruent equilateral triangles whose overlap is a hexagon. The areas of the smaller triangles, which are also equilateral, are 1 , 1 , 9 , 9 , 16 and 16 , as shown. What is the area of the inner hexagon?

Question

02-02-2021
Mathematics

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The diagram shows two congruent equilateral triangles whose overlap is a hexagon. The areas of the smaller triangles, which are also equilateral, are 1 , 1 , 9 , 9 , 16 and 16 , as shown. What is the area of the inner hexagon?

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