GATE EC 2023 Set 1 — Question 5
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General Aptitude → Spatial Aptitude → 2D & 3D Patterns
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Question
How many rectangles are present in the given figure?
Correct answer
(C) 10
Solution
A rectangle is a quadrilateral with four right angles. Note that every square is also a rectangle.Let's count the rectangles in the figure:
1.Large outer square: 1
2.Small squares (formed by the horizontal and vertical lines through the center): 4
3.Horizontal rectangles (formed by combining two adjacent small squares): 2
4.Vertical rectangles (formed by combining two adjacent small squares): 2
5.Inner square (the diamond shape formed by connecting the midpoints of the outer square's sides): 1
Total number of rectangles = .The diagonals divide the squares into triangles, but they do not form any additional rectangles.Therefore, the correct option is (C).Continue learning with Success Tracker
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