There are 4 identical triangles, each with an area of 4 square units. When put together, they form a square. What is the side length of the square? units
Question
There are 4 identical triangles, each with an area of 4 square units. When put together, they form a square. What is the side length of the square?
units
Solution
Step 1: Understand that the total area of the square is the sum of the areas of the 4 triangles.
Step 2: Since each triangle has an area of 4 square units, the total area of the 4 triangles (and thus the square) is 4*4 = 16 square units.
Step 3: The formula for the area of a square is side length squared. So, if A = s^2, where A is the area and s is the side length, we can rearrange the formula to solve for s: s = sqrt(A).
Step 4: Substitute the area of the square (16 square units) into the formula: s = sqrt(16).
Step 5: Calculate the square root of 16 to find the side length of the square: s = 4 units.
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