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?
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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?
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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.