The length and breadth of a rectangular field is in the of ratio 3:2. If the area of the field is $$1,350 m^2$$, then the cost of fencing it at ₹30/m will be:
The length and breadth of a rectangular field is in the of ratio 3:2. So length and breadth are 3x and 2x
$$Area = length \times breadth$$
$$1350 = 3x \times 2x$$
$$225 = x^2$$
$$x = 15$$
length and breadth are 45m and 30 m resp.
So cost of fencing $$= 2(length + breadth) \times cost of fencing $$
$$= 2(45 + 30)\times 30$$
$$= ₹ 4500$$
Option B is correct.
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