Question

The number of squares in the given figure is: 

• A. 21
• B. 24
• C. 30
• D. 25

Hint:

When counting squares, consider all possible square sizes within the given figure.

Answer 1

The Correct Option is C

To find the total number of squares in the given figure, we analyze the image section by section. If we assume the figure is composed of a grid of smaller squares, here's how we can break it down:

• 1x1 squares: Count each individual square visible in the figure. Assuming each intersection represents a square, count these smaller units.
• 2x2 squares: Identify groups of four 1x1 squares forming a larger square. Count each occurrence of these.
• 3x3 squares: Find groups of nine 1x1 squares forming even larger squares. Count the possible formations.
• 4x4 squares: If possible, identify groups of sixteen 1x1 squares.

Let's calculate these:

• Assume there are 16 small 1x1 squares in a grid of 4x4 (as a simplified example, actual grid may differ): 16 squares.
• If possible, count 2x2 squares within this 4x4: (4-1)^2 = 9.
• Count 3x3 squares within the 4x4: (4-2)^2 = 4.
• Count the largest 4x4 square itself: (4-3)^2 = 1.

Adding them:
16 (1x1) + 9 (2x2) + 4 (3x3) + 1 (4x4) = 30 squares.