Question

12/ The length and breadth of a rectangular field are in the ratio 3:2. If the area of the field is 3456 m2.
Find the cost of fencing it at 60 per m.
​

Answer 1

length = 3x

Answer:

breadth = 2x

area = 3x * 2x=6x^2

6x^2 = 3456

x^2=576,x=24

perimeter = 240

1 = 60

240 = 14400

Step-by-step explanation:

Answer 2

Let the length of the field be 2x m

Then , it's breadth = 3x 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 × 60)

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= Rs. 840 ans.

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

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