The length and breadth of a rectangular field are in the ratio of 3 2 if the area of the field is 34...........

Quantitative Aptitude ( CCS) Mensuration 2D

The length and breadth of a rectangular field are in the ratio of 3:2 if the area of the field is 3456 sq m find the cost of fencing the field at rupees 4 per meter.

960

1000

1250

860

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Explanation:

Let length be 3x and breadth be 2x
area is given 3456 m²
acc. to question
3x × 2x = 3456m²
6x² = 3456 m²
x² = 3456 m²/6
x =√576m²
x = 24 m

now lenght is 3x =72
and breadth 2x = 48

now fencing at the cost 4 rs per metremeans perimeter i.e 2(l+b) ×4 rs
2(72+48)×4
2(120) × 4 = 240 ×4 = 960
total cost for fencing the field is Rs.960.

Hence, option 1 is the correct answer.