In the adjoining figure, find the total number of squares.

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.