Question

The length and breadth of a rectangular piece of land are in the ratio 5:3. If the total cost of fencing at Rs.7 per metre is Rs.2800, find the area of the plot.

Answer 1

Ratio of length to bradth = 5:3

So, let length = 5x and breadth = 3x.

Cost of fencing = Rs. 7 per m

Total cost = Rs. 2800

Therefore, perimeter = 400 m

$2(5x+3x)=400$

$8x=200$

$x=25$

So, length = 125 m

Breadth = 75 m

Area = $125\times 75=9375$ m${}^2$