A rectangular paper of 20 cm × 8 cm is folded 3 times. Each fold is made along…
2024
A rectangular paper of 20 cm × 8 cm 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
- A.
18
- B.
24
- C.
20
- D.
21
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Correct answer: A
Reasoning: follow the size changes after each fold.
Start with 20 cm × 8 cm (long edge = 20). Each fold along the midline perpendicular to the current long edge halves that long edge.
After 1st fold: 20 → 10, sheet is 10 × 8 (long edge = 10).
After 2nd fold: 10 → 5, sheet is 5 × 8 (now long edge = 8).
After 3rd fold: halve the current long edge 8 → 4, sheet is 5 × 4.
Perimeter = 2 × (5 + 4) = 18 cm.
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