The area of lawn is 460 m2. If the length is 15 percent more than the breadth of the rectangular field What is the length of the field?

A 15 m
B 26 m
C 34.5 m
D None of these

Correct Answer: None of these

460m² = L B ————— {1} Where as lenghth is 15% more than breadth i.e. 15b/100 + b = L Substitute L in {1} 460m² = (15b/100 + b) × b 460m² = (15b + 100b/100) × b 460 × 100 = 15b² + 100b² 46000 = 115b² 46000/115 = b² 400 = b² 20 × 20 = b × b :• b = 20 Breadth = 20m Length = 23m
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