The length and breadth of a rectangular field are in ratio 3:2. If the area of the field is 3456 sq m. Find the cost of fencing the field at Rs.60 per meter.
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Answer:
₹14400
Step-by-step explanation:
Let us consider the length to be 3x and the breadth to be 2x
Area of rectangle = Length × Breadth
Area = 3456 m² (Given)
3456 = 3x × 2x
3456 = 6x²
3456 ÷ 6 = x²
√576 = x
x = 24
Length = 3x ⇒ 3 × 24 = 72cm
Breadth = 2x ⇒ 2 × 24 = 48cm
Perimeter = 2(l + b)
P = 2(72 + 48) ⇒ P = 2(120)
P = 240m
Cost of fencing = Perimeter × Cost per meter
Cost = 240 × 60
Cost = ₹14400
Hope this answer helps you.
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