Question

The length and breadth of a rectangular field are in the ratio 3 ratio 2 if the area of the field is 3456 m square find the cost of fencing the field at rupees 2.50 per metre

Answer 1

Let the length of rectangular field be 3x

the breadth of rectangular field be 2x

A/q Area of the field = length × breadth

=> 3456 m^2 = 3x × 2x

=> 3456 m^2 = 6x

=> x = 3456 m^2/6

=> x = 576m^2

Cost of fencing the field

= Rs 2.50 / m^2 × 576 m^2

= Rs 1440. => Answer

Hope it helps:-)

Answer 2

Let the length of the field be 3x m

Then , it's breadth = 2x m.

So , Area of the field =( Length × Breadth ) sq. unit

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= ( 2x × 3x)m²

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= ( 6x²) m²

But , area = 3456m² ( given )

So, 6x² = 3456 =》x² = $\frac{3456}{6} = 576$

x = $\sqrt{576} = 24.$

So, Length = ( 3 × 24 ) m

⠀⠀⠀⠀⠀⠀⠀= 48 m

⠀⠀ Breadth = ( 2 × 24 )m

⠀⠀⠀⠀⠀⠀⠀⠀= 72 .

Then , Perimeter of field = 2( l + b)

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= 2 ( 48 + 72)m

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= ( 2 × 120 )m

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= 240 m .

Hence , the cost of fencing = Rs. ( 240 × 2.50 )

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= Rs. 600 ans.

$\huge\mathcal\color{teal}Hope\:it\:helps!!$

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