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
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cost of fencing = ₹ 12,096
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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 =
x =
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.
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