Equilateral Triangle in a Square: Middle Secondary Mathematics Competition Question

The diagram shows an equilateral triangle inscribed within a square.

If the sides of the triangle are each 10 units in length, find the area of the square.

You may leave it as an exact value. As most competitions do not allow calculators, you would have no choice in this. However, in this case, you can obviously calculate the answers and, at the very least, check that the square is actually larger than the triangle.

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