Question

The length and breadth of a rectangular field are in the ratio 5:2 . If the area of the field is 25000, find the cost of fencing it at the rate of Rs. 52.50 per meter.

Answer 1

$\bf \: let \: the \: length \: and \: breadth \: of \: the \: rectangular \: field \: be \: 5x \: and \: 2x \: respectively \\ \\ \bf \: ACQ \\ \\ \bf \: 5x \times 2x = 25000 \\ \\ \bf 10 {x}^{2} = 25000 \\ \\ \bf {x}^{2} = \frac{25000}{10} = 2500 \\ \\ \bf \: {x} = \sqrt{2500} = 50 \\ \\ \bf \: length = 5 \times 50 = 250m \\ \\ \bf \: breadth = 2 \times 50 = 100m \\ \\ \bf \: perimeter = 2(l + b) \\ \\ \bf2(250 + 100) \\ \\ \bf \: 2 \times 350 \\ \\ \bf \: = 700m \\ \\ \bf cost \: of \: fencing = 52.50 \times 700 \\ \\ \bf\boxed{36750}$