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Question

How many rectangles does a 2x2 square have?

A
4
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B
6
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C
9
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D
8
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Solution

The correct option is C 9

This square is a 2 x 2 grid.
There are 4 rectangles comprising of 2 squares each, 2 horizontal and 2 vertical.
Since all squares are considered to be rectangles, with sides of equal length,
we can consider the 4 small squares in the 2 x 2 grid to be 4 rectangles.
The 2 x 2 grid is a square ,which is also considered to be a rectangle.
Hence, the total number of rectangles in a 2 x2 grid = 4 + 4 +1 = 9

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