GATE EE 2021 Set 1 — Question 7
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General Aptitude → Quantitative Aptitude → Mensuration & Geometry
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Question
Correct answer
(C) 3.125
Solution
The area of a square formed by joining the midpoints of the sides of a larger square is exactly half the area of that larger square.
1.Area of the outermost square (): Given the side length is , the area is .
2.Area of the 2nd square (): .
3.Area of the 3rd square (): .
4.Area of the 4th square (): .
5.Area of the 5th square (): .
6.Area of the 6th square (shaded, ): .
By counting the squares in the diagram, the shaded square is the square in the sequence. Thus, its area is .Continue learning with Success Tracker
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