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?

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? 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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