Quantitative Aptitude :: Area Problems And Answers

6. A lawn is in the form of a rectangle having its sides in the ratio 3: 4. The area of the lawn is (1/4) hectares. Find the length and breadth of the lawn.

A. 75,100 B. 75/√3,100/√3
C. 75, 100/√3 D. 75/√3,100
Answer & Explanation

Answer: Option B

Explanation:
Let length = 3x metres and breadth = 4x metre.
Now, area = (1/4)x 10000 sq.m = 2500sq.m
So, 3x × 4x = 2500 =>12x2 = 2500 => x = 25/√3
Therefore Length = 3x = 3(25/√3) m = 75/√3 m and Breadth = 4(25/√3) m = 100/√3m.


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