If the length of a rectangular farm and its breadth are in the ratio 5 : 4 and the area of the farm is 13520 m², find the cost of

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1. Answer:

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2. Given :-

   Ratio of length and breadth 5:4

   Area = 13520 m²

   Rate = 15 per m

   To Find :-

   Cost of fencing

   Solution :-

   [tex]\sf Area = l \times b[/tex]

   Let the sides be 5x and 4x

   [tex]\sf 13520 = 5x \times 4x[/tex]

   [tex]\sf 13520 = 20x^{2}[/tex]

   [tex]\sf \dfrac{13520}{20} = x^{2}[/tex]

   [tex]\sf 676 = x^{2}[/tex]

   [tex]\sf \sqrt{676} = x[/tex]

   [tex]\sf 26 =x[/tex]

   Length = 5(26) = 130 m

   Breadth = 4(26) = 104 m

   Perimeter = 2(130 + 104)

   Perimeter = 2(234)

   Perimeter = 468 m

   Cost = Perimeter x Rate

   Cost = 468 x 15

   Cost = Rs 7020

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