Question Details

How many rectangles are there in the given figure?


Options

A

7

B

9

C

8

D

6

Show Answer

Correct Answer :

Option B

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:

Total Rectangles=4+2+2+1=9


Therefore, there are a total of 9 rectangles in the given figure.

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