Question

Find the number of squares in the given figure:

• A. 20
• B. 25
• C. 32
• D. 36

Hint:

Always count small, medium, and large squares separately. Don't forget overlapping and enclosing squares.

Answer 1

The Correct Option is B

The figure is composed of 4 large identical blocks. Each block contains 4 small inner squares and 1 big square enclosing them. So in one block:
- Inner small squares = 4
- Outer square enclosing them = 1
Total in one block = \(4 + 1 = 5\) squares
Since there are 4 such blocks:
\(4 \times 5 = 20\) squares
Now observe the large square enclosing all 4 blocks — that's 1 more square:
\(20 + 1 = 21\) Also, each pair of two adjacent blocks (horizontal and vertical) forms a larger square:
- Top two blocks form 1 square
- Bottom two blocks form 1 square
- Left two blocks form 1 square
- Right two blocks form 1 square
That’s 4 more squares: \(21 + 4 = 25\)
Thus, the total number of squares is \(\boxed{25}\).
Answer: \(\boxed{25}\)