The plinth of a house has an area of 200 square metres. It is rectangular in shape and its length and breadth are in the ratio 2:1. The owner of the house extends the terrace by 1 m on each side. What is the percentage of area that has increased in the terrace relative to the plinth?
- A. 40%
- B. 32% ✓
- C. 20%
- D. 15.5%
Correct Answer: B. 32%
Explanation
Let length L=2x and breadth B=x. Area 2x^2 = 200 \implies x=10, so L=20 m, B=10 m. Extending 1 m on each side increases L and B by 2 m each. New area = 22 \times 12 = 264 square metres. Increase = 64, which is \frac{64}{200} \times 100 = 32\%.
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