Geometry: Folded Paper Area
XAT 2016 · Quantitative Ability & Data Interpretation · Medium · Quantitative Ability
A square piece of paper is folded three times along its diagonal to get an isosceles triangle whose equal sides are 10 cm. What is the area of the unfolded original piece of paper?
- A.
400 sq. cm.
- B.
800 sq. cm.
- C.
800√2 sq. cm.
- D.
1600 sq. cm.
- E.
Insufficient data to answer
Answer
A
Explanation
The folded paper forms an isosceles right triangle with legs = 10 cm. Area of this final triangle = Each fold halves the area. Unfolding 3 times multiplies the area by . Area of original square =
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