Mathematics
In the adjoining figure, find the total number of squares.
Geometrical Concepts
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Answer
The adjoining figure shows a 4 × 4 grid, that is, a large square divided into 16 unit squares by horizontal and vertical lines.
To find the total number of squares, we need to count squares of each possible size separately.
- Squares of size 1 × 1: There are 4 × 4 = 16 such squares.
- Squares of size 2 × 2: There are 3 × 3 = 9 such squares.
- Squares of size 3 × 3: There are 2 × 2 = 4 such squares.
- Squares of size 4 × 4: There is 1 × 1 = 1 such square (the whole figure).
Total number of squares = 16 + 9 + 4 + 1 = 30
∴ There are total 30 squares in the figure.
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