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Sum

The length and the breadth of a rectangular field are in the ratio 5: 4 and its area is 3380 m^{2}. Find the cost of fencing it at the rate of ₹75 per m.

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#### Solution

Ratio in length and breadth = 5 : 4

Area of rectangular field = 3380 m^{2}

Let length = 5x and breadth = 4x

5x x 4x = 3380

=> 20x^{2}= 3380

x^{2} = `3380/20` = 169 = (13)2

x = 13

Length = 13 x 5 = 65 m

Breadth =13 x 4 = 52 m

Perimeter = (l + b) = 2 x (65 + 52) m = 2 x 117 = 234 m

Rate of fencing = ₹ 75 per m

Total cost = 234 x 75 = ₹ 17550

Concept: Perimeter of a Rectangle

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