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The total number of squares and rectangles in the following figure is:

Question and options

The total number of squares and rectangles in the following figure is:

Figure

  1. 18
  2. 22
  3. 20
  4. 24

Answer and explanation

Correct answer: C - 20
Axis-aligned: the big square split by a cross into 4 small squares gives 9 rectangles (4 small squares + 1 big square + 4 half-rectangles). Tilted: the central diamond plus 4 attached squares form a plus shape; each arm of 3 in a line gives 3 singles, 2 doubles and 1 triple, so 5 tilted squares + 6 tilted rectangles = 11. Total 9 + 11 = 20.

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  • JIPMAT

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