Please enter the following details
Free Daily Targets & Mocks
Study Material & Formulas PDFs
1 on 1 Mentorship
Question 64
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?
Solution
When a square sheet is folded in half, its area is also halved. Now, an isosceles right triangle is formed after folded. For 2nd & 3rd folds, again areas halved each time and isosceles right triangle is formed
Equal sides = 10 cm
Area of last such triangle = $$\frac{1}{2} \times 10 \times 10 = 50 cm^2$$
$$\therefore$$ Area of original square = $$50 \times 2 \times 2 \times 2$$
= $$400 cm^2$$
Create a FREE account and get:
- All Quant Formulas and shortcuts PDF
- 15 XAT previous papers with solutions PDF
- XAT Trial Classes for FREE
XAT Quant Questions | XAT Quantitative Ability
XAT Profit, Loss and Interest QuestionsXAT Linear Equations QuestionsXAT Time, Distance and Work QuestionsXAT Geometry QuestionsXAT Functions, Graphs and Statistics Questions
XAT DILR Questions | LRDI Questions For XAT
XAT Puzzles QuestionsXAT Quant Based DI QuestionsXAT Logical Reasoning QuestionsXAT Data Interpretation QuestionsXAT Table with Missing values Questions
