A square is cut into 4 identical triangles. Each triangle has an area of 1 square unit. What is the side length of the square?

To find the side length of the square, we first need to know the total area of the square. Since each of the 4 identical triangles has an area of 1 square unit, the total area of the square is:

Total area = Area of one triangle × Number of triangles

Total area = 1 square unit × 4 = 4 square units.

Now, we know that the area of a square is calculated using the formula:

Area = side length × side length.

Let the side length of the square be ( s ). Therefore, we can set up the equation:

[ s^2 = 4. ]

To find ( s ), we take the square root of both sides:

[ s = sqrt{4} = 2. ]

Thus, the side length of the square is 2 units.