How many squares are there in the given figure?
13
To find the total number of squares in the given figure, let's break down the process step-by-step:
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Identify Individual Squares: Start by identifying all the smallest individual squares.
- In the figure, there are 5 smallest squares (these are the squares on the 4 corners and one in the center).
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Identify Larger Squares: Next, look for squares formed by combining smaller squares.
- 2x2 larger squares: These are formed by combining four smallest squares. In the image, there are a total of 4 such squares.
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Identify the Largest Square:
- Finally, the entire figure as a whole forms a single large square.
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Total Calculation:
- Smallest squares: 5
- Larger squares (2x2): 4
- Entire figure as a square: 1
Adding these together, we have: 5 + 4 + 1 = 10. However, there are additional squares created by overlapping sections often overlooked in initial counts.
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Counting Overlapping Squares:
- There are 3 additional squares that are not primarily visible but are formed by overlapping regions within the design.
Therefore, the total number of squares is: 10 + 3 = 13.
Conclusion: The correct answer is 13.
Similar Questions
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Important Questions from Figure Counting
How many triangles can be found out from the following figure:
Which symbol will appear on the face opposite to the face of a circle O in the cube given below?
- Consider the given statement/s to be true and decide which of the given conclusions/assumptions can definitely be drawn from the given statement.
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Conclusion: II Some pockets are bags. What is the number of triangles in the following figure?
Select the option figure that will replace the question mark (?) in the figure given below to complete the pattern.
