In that box we have 9 squares. One of the square has 1cm for all sides. That means the perimeter of one of the boxes is 4cm. For the 9 boxes, we have 4x 9= 36cm I think?

Mathematics

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Answer

12 cm\text{12 cm}

Step-by-step solution

3 steps

Ajala, your calculation is correct for the sum of the perimeters of 9 separate squares.

  1. Verify the perimeter of one square.

    A square with 1 cm1 \text{ cm} for all sides has a perimeter of 4×1 cm=4 cm4 \times 1 \text{ cm} = 4 \text{ cm}.

  2. Calculate the sum of perimeters for 9 individual squares.

    If you add up the perimeters of 9 squares, each 4 cm4 \text{ cm}, you get:

    9×4 cm=36 cm9 \times 4 \text{ cm} = 36 \text{ cm}

    So, your calculation of 36 cm36 \text{ cm} 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.

  3. Calculate the perimeter of the combined shape (assuming a 3×33 \times 3 arrangement).

    If 9 squares, each 1 cm1 \text{ cm} by 1 cm1 \text{ cm}, are arranged to form a larger square (a 3×33 \times 3 grid), the side length of this larger square would be:

    Side length=3×1 cm=3 cm\text{Side length} = 3 \times 1 \text{ cm} = 3 \text{ cm}

    The perimeter of this larger square is:

    P=4×Side lengthP = 4 \times \text{Side length} P=4×3 cmP = 4 \times 3 \text{ cm} P=12 cmP = 12 \text{ cm}

    So, if the 9 squares form a larger 3×33 \times 3 square, the perimeter of that larger shape is 12 cm\boxed{\text{12 cm}}.

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