Question

the length and breadth of rectangular piece of land is 5:2 if the total cost of fencing it at rs 12.5per metre.is rs 250000.find its total length and breadth

Answer 1

Let the length of the rectangular piece of land = 5x.

Let the breadth of the rectangular piece = 2x.

We know that perimeter of the land = 2(l + b)

                                                             = 2(5x + 2x)

                                                             = 2(7x)

                                                            = 14x.   ----- (1) 


Given that total cost of fencing =  250000.

Given that Rate of fencing = 12.5 per metre.

Therefore perimeter = Total cost /rate

                                   = 250000/12.5

                                   = 20000.   -------- (2)


On solving (1) & (2), we get

14x = 20000

x = 20000/14

x = 1428.5


Therefore the length of the rectangular piece of land = 5 * 1428.57 = 7142.8m.

Therefore the breadth of the rectangular piece of land = 2 * 1428.57 = 2857.1m


Hope this helps!