This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
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Answer
12 cm
Ajala, your calculation is correct for the sum of the perimeters of 9 separate squares.
Step 1: Verify the perimeter of one square. A square with for all sides has a perimeter of .
Step 2: Calculate the sum of perimeters for 9 individual squares. If you add up the perimeters of 9 squares, each , you get: So, your calculation of is correct if you are summing the perimeters of 9 individual, disconnected squares.
However, when squares are placed together to form a larger shape (like "in that box"), the sides where they touch are no longer part of the outer perimeter of the combined shape.
Step 3: Calculate the perimeter of the combined shape (assuming a arrangement). If 9 squares, each by , are arranged to form a larger square (a grid), the side length of this larger square would be: The perimeter of this larger square is:
So, if the 9 squares form a larger square, the perimeter of that larger shape is .
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Ajala, your calculation is correct for the sum of the perimeters of 9 separate squares.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.