A circle is inscribed into an equilateral triangle as shown.

The area of the circle is shown as 2.25 π cm^{2}.

Point T is both the midpoint of the triangle base, and a vertex of the red square.

Point S is a vertex of both the triangle and the square.

Find the area of the square.

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Is it 6.75?

It is indeed. Well done.

27/4?

Yup!

27/4 cm2?