Question

How many rectangles are present in the given figure?

• A. 8
• B. 9
• C. 10
• D. 12

Hint:

When shapes are tilted, first count the smallest tiles, then count all possible unions of adjacent tiles (pairs, $2\times2$, etc.). Remember: every square counts as a rectangle.

Answer 1

The Correct Option is C

Treat every square as a rectangle (a square is a special rectangle).
Inside the big square, the slant lines form a $2\times2$ grid of small diamond squares.
Count rectangles tilted at $45^\circ$:
$\bullet$ Small diamonds: $4$
$\bullet$ Rectangles made by pairing two adjacent small diamonds (horizontal pairs $=2$, vertical pairs $=2$): $4$
$\bullet$ Large diamond formed by all four small diamonds: $1$
Axis-aligned rectangles:
$\bullet$ The outer big square: $1$
Total rectangles $=4+4+1+1=10$.
\[ \boxed{10} \]