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 start by understanding that the area of each triangle is 1 square unit and there are 4 identical triangles.

1. Calculate the total area of the square:

[

text{Total area} = text{Area of one triangle} times text{Number of triangles} = 1 , text{square unit} times 4 = 4 , text{square units}

]

2. The area of a square is given by the formula:

[

text{Area} = text{side length}^2

]

3. Set the area of the square equal to 4 square units:

[

text{side length}^2 = 4

]

4. To find the side length, take the square root of both sides:

[

text{side length} = sqrt{4} = 2 , text{units}

]

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