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Question

The number of squares in the above figure is
 

The correct answer is
29

To find the number of squares in the given figure, follow these steps:

  1. Identify all the smallest unit squares. Count each individual square in the figure.
    • The figure contains a total of \(3 \times 3\) unit squares in each arm of the cross and \(2 \times 2\) in the middle. Thus, each arm contains 3 unit squares along each side.
  2. Count the intermediate squares formed by combining smaller squares.
    • In the center, there are 4 squares that are \(2 \times 2\).
    • Each arm of the cross can form additional larger squares beyond the unit squares:
      • Each arm has 1 larger square of size \(2 \times 2\).
      • Each arm does not form any \(3 \times 3\) square as they are isolated across the middle section.
  3. Add all the combinations:
    • Total small squares: \(3 \times 3\times 4 = 12\) (from the arms) + 9 (from the center) = 21 small squares.
    • Total \(2 \times 2\) squares: 1 per arm = 4 + 4 from the center = 8.

Summing up all these squares, we get a total number of squares:

  • \(21 + 8 = 29\)

Therefore, the total number of squares in the figure is 29.

Hence, the correct answer is \(29\).

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Important Questions from Counting Figure (Notes)

  1. Find the number of triangles in the given figure

  2. Find the number of triangles in the given figure.

  3. How many rectangles are there in the given figure?

  4. In the following question, select the figure which can be placed at the sign of question mark (?) from the given alternatives.

  5. In the following question, select the figure which can be placed at the sign of question mark (?) from the given alternatives.

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