Question

the length and breadth of a rectangular feild are in the ratio 5:3. the area of the field is 2160sq. m. if a fence is to be made at the rate of the rupees 350 per metre how much will it cost?

Answer 1

Let the length be 5a
Width = 3a

Area of field = 2160
=> l*b=2160
=> 5a *3a = 2160
=> 15a^2 = 2160
=> a^2 = 144
=> a = 12

Length = 60 m
Width = 36 m

Perimeter of field = 2(60+36)
= 2*96
= 192 m

Cost of fencing = Rate of fencing *Perimeter of field
Cost of fencing = 350 * 192
= Rs 67200


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Answer 2

5x×3x=2160
15x^2=2160
x^2=2160÷15
x^2=144
x=12
now I find perimeter of rectangle
2(60+36)
=192m
now Total cost=192×350=67200