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What is the area of the figure shown, which is composed of 5 squares, each with a side length of 2 cm?

Mathematics

ScanSolve AI Answer

Answer

20 cm2\text{20 cm}^2

Step-by-step solution

4 steps

  1. Identify the basic geometric shape that makes up the figure.

    The figure is composed of several squares, each with a side length of 2 cm2 \text{ cm}.

  2. Calculate the area of one of these basic squares.

    The area of a square is given by the formula A=s2A = s^2, where ss is the side length.

    Asquare=(2 cm)2=4 cm2A_{\text{square}} = (2 \text{ cm})^2 = 4 \text{ cm}^2

  3. Count the total number of these basic squares in the given figure.

    By observing the figure, we can see it is made up of 5 identical squares. There is a central square, and one square attached to each of its four sides (top, bottom, left, and right).

  4. Calculate the total area of the figure.

    Multiply the area of one square by the total number of squares.

    Total Area=5×Asquare\text{Total Area} = 5 \times A_{\text{square}} Total Area=5×4 cm2=20 cm2\text{Total Area} = 5 \times 4 \text{ cm}^2 = 20 \text{ cm}^2

    The area of the figure is 20 cm2\text{20 cm}^2.

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