Question

The length and breadth of a rectangular field are in ratio 5:4 and it Area is 3380metre sq. Find the cost of fencing it at the rate of rupees 75 per metre

Answer 1

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Answer 2

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Let the length of the rectangle be 5x and the breadth of the rectangle be 4x.

Area of the rectangle = 3380m^2

We know that ,

Area of rectangle = length * breadth

length * breadth = 3380

5x * 4x = 3380

20x^2 = 3380

x^2 = 3380 / 20

x^2 = 169

x = √169

x = 13 m

Therefore ,

Length of the rectangle

=5x = 5*13
= 65m

Breadth of the rectangle
= 4x = 4*13
= 52

Perimeter of the rectangle =

2(l + b)

= 2(65+52)

= 2*117

= 234m

Cost of fencing 1m^2 = Rs.75

Cost of fencing 234m = 234*75

= Rs.17,550