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How many rectangles are there in the given figure?
Question

How many rectangles are there in the given figure?

A.

6

B.

7

C.

8

D.

9

Correct option is C

The large outer rectangle itself counts as 1 rectangle.
Smaller rectangles are formed by the internal divisions:
The grid inside the larger rectangle has horizontal and vertical lines that intersect.
There are 3 vertical lines and 2 horizontal lines, creating several combinations of rectangles.
Counting rectangles of different sizes:
Smallest rectangles: Each 1x1 section inside the figure counts as a rectangle. There are 4 small rectangles.
Larger rectangles: We can count other rectangles formed by combining the smaller ones:
2 rectangles formed by combining two adjacent small rectangles horizontally.
2 rectangles formed by combining two small rectangles vertically.
1 large rectangle: The entire figure itself counts as 1 large rectangle.
Total Rectangles:
4 small rectangles (1x1).
2 larger rectangles formed by combining two small rectangles horizontally.
2 larger rectangles formed by combining two small rectangles vertically.
1 large rectangle (the entire figure).
Thus, the total number of rectangles is 8.
Final Answer: 8.

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