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A large shape is made up of smaller squares, each with a side length of 1 cm. The shape is 2 cm long and 3 cm wide. What is the perimeter of the large shape?

Mathematics

ScanSolve AI Answer

Answer

10 cm\text{10 cm}

Step-by-step solution

2 steps

The image shows a large shape made up of smaller squares, each with a side length of 1 cm1 \text{ cm}.

  1. Determine the dimensions of the large shape.

    The length of the large shape is formed by two 1 cm1 \text{ cm} squares side-by-side.

    Length=1 cm+1 cm=2 cm\text{Length} = 1 \text{ cm} + 1 \text{ cm} = 2 \text{ cm}

    The width of the large shape is formed by three 1 cm1 \text{ cm} squares stacked vertically.

    Width=1 cm+1 cm+1 cm=3 cm\text{Width} = 1 \text{ cm} + 1 \text{ cm} + 1 \text{ cm} = 3 \text{ cm}

    Since the length and width are different, the shape is a rectangle, not a square. We will calculate the perimeter of this rectangle.

  2. Calculate the perimeter of the large rectangle.

    The formula for the perimeter of a rectangle is P=2×(Length+Width)P = 2 \times (\text{Length} + \text{Width}).

    P=2×(2 cm+3 cm)P = 2 \times (2 \text{ cm} + 3 \text{ cm}) P=2×(5 cm)P = 2 \times (5 \text{ cm}) P=10 cmP = 10 \text{ cm}

    The perimeter of the big shape is 10 cm\text{10 cm}.

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