Math, asked by madhualuvala8611, 1 year ago

The length and breadth of a rectangular field is in ratio 3 :2 and the area of the rectangle field is 3456.find the cost of fencing rectangular field is Rs 3.50


rachit751: I can't understand the last line. Please explain it

Answers

Answered by somya18
6
cost of fencing = ₹ 12,096
Attachments:
Answered by Anonymous
4

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 × 3.50 )

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= Rs. 14, 580 ans.

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

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