How many rectangles are there in the given figure?
Correct Answer :
9
Solution :
The correct answer is 9.
Let us count the total number of rectangles present inside the given figure step-by-step.
Looking at the image, there is a large outer rectangle inscribed in a circle, divided into a grid of 2 smaller rectangles horizontally and 2 smaller rectangles vertically (a 2 × 1 or 1 × 2 grid structure formed by the central horizontal and vertical dividing lines):
1. Single (Smallest) Rectangles:
There are 4 small individual rectangular quadrants (top-left, top-right, bottom-left, bottom-right).
2. Rectangles formed by combining 2 small rectangles:
- 2 horizontal combinations (combining top-left + top-right, and bottom-left + bottom-right).
- 2 vertical combinations (combining top-left + bottom-left, and top-right + bottom-right).
3. Rectangle formed by combining all 4 small rectangles:
- 1 main large outer rectangle encompassing the entire grid.
Note: The diagonal lines inside the rectangle form triangles and non-rectangular shapes, but do not form any additional rectangles with right angles.
Summing them up:
Therefore, there are a total of 9 rectangles in the given figure.
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