A 4 cm square is divided into 4 triangles. the area of each triangle is a new square of these two triangles. what is its area?

The diagonals of a square divide it into four equal triangles.

Let’s define the area of the square.

Sq = AB * BC = 4 * 4 = 16 cm2.

Then the area of the triangles will be equal to:

Str = Sq / 4 = 16/4 = 4 cm2.

Let’s define the area of a square formed by two triangles.

S = 2 * Str = 2 * 4 = 8 cm2.

Answer: The area of the triangle is 4 cm2, the area of the new square is 8 cm2.