A giant plate of delicious samosas.

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Samosas are an African, Indian, and Middle Eastern dish, baked or fried, with spiced vegetables, potatoes, lentils, meats, and more inside. The dough starts as squares and then are folded over filling in such a way that they become triangular samosas about half the size (area) of the original dough square.

If the dough starts as 3 inch3 \text{ inch} squares, what would be the dimensions of the samosas if they are made from rolled, 18 inch×24 inch18 \text{ inch} \times 24 \text{ inch} dough? Assume the samosas are equilateral triangles. Round to the nearest hundredth.

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