GATE CS 2024 Set 1 — Question 9
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General Aptitude → Spatial Aptitude → Paper Folding, Cutting & Patterns
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Question
A rectangular paper of is folded 3 times. Each fold is made along the line of symmetry, which is perpendicular to its long edge. The perimeter of the final folded sheet (in cm) is
Correct answer
(A) 18
Solution
The initial dimensions of the paper are .Fold 1:
The fold is made along the line of symmetry perpendicular to the long edge (). This halves the length.
New dimensions: .Fold 2:
The current dimensions are . The long edge is . The fold is perpendicular to this edge.
New dimensions: .Fold 3:
The current dimensions are . The long edge is now (since ). The fold is perpendicular to the edge.
New dimensions: .The final folded sheet is a rectangle of size .
The perimeter is given by:
The fold is made along the line of symmetry perpendicular to the long edge (). This halves the length.
New dimensions: .Fold 2:
The current dimensions are . The long edge is . The fold is perpendicular to this edge.
New dimensions: .Fold 3:
The current dimensions are . The long edge is now (since ). The fold is perpendicular to the edge.
New dimensions: .The final folded sheet is a rectangle of size .
The perimeter is given by:
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