Question 4

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:

Solution

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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