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Find the cost of fencing of a rectangular land. If it has an area of 100 m² and one side of length 20 m at a rate of 30 per meter.
Question

Find the cost of fencing of a rectangular land. If it has an area of 100 m² and one side of length 20 m at a rate of 30 per meter.

A.

Rs. 3,000

B.

Rs. 1,200

C.

Rs. 2.400

D.

Rs. 1,500

Correct option is D

Given:

Area of the rectangle = 100 m²

Length = 20 m

Rate of fencing = ₹30 per meter

Formula used:

Width of the rectangle

width = AreaLength\frac{Area}{Length}

​​Perimeter of the rectangle

Perimeter = 2×(Length + Width)

Solution:

Width = 10020\frac{100}{20} = 5 m

​​Perimeter = 2×(20+5)=50m2 \times (20 + 5) = 50 \, \text{m}2× (20+550m

Cost = 50×30 = 1500 

The cost of fencing is ₹1500.

Thus, correct option is (d) 

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