Question 56
The figure below has been obtained by folding a rectangle. The total area of the figure (as visible) is 144 square meters. Had the rectangle not been folded, the current overlapping part would have been a square. What would have been the total area of the original unfolded rectangle?
Solution
Area of given figure = 144 sq meter
It is given that BCE becomes square when we will unfold it, so to find the complete area of the figure shown as dotted after unfolding we need to add the area of triangle BCE.
Thus, BC = CE = 6 m
=> Area of $$\triangle$$ BCE = $$\frac{1}{2} \times 6 \times 6 = 18$$ sq meter
$$\therefore$$ Final area of whole figure = 144 + 18 = 162 square meter.
Video Solution
Create a FREE account and get:
- All Quant Formulas and shortcuts PDF
- XAT previous papers with solutions PDF
- XAT Trial Classes for FREE
CAT Quant Questions | CAT Quantitative Ability
CAT Averages Mixtures Alligations QuestionsCAT Time And Work QuestionsCAT Number Systems QuestionsCAT Linear Equations QuestionsCAT Arithmetic Questions
CAT DILR Questions | LRDI Questions For CAT
CAT Charts QuestionsCAT Games and Tournamnents QuestionsCAT 2D & 3D LR QuestionsCAT Scheduling QuestionsCAT Coins and Weights Questions
