Question

the length and the breadth of a rectangular piece of land are in the ratio 5:2.If the total cost of fencing it at rs.12.5per meter is rs.25000, find its length and breadth.

Answer 1

₹12.5 is the cost of fencing = 1m
₹ 1 is the cost of fencing = 1/12.5 m
₹ 25000 is the cost of fencing= 25000/12.5 m
= 2000m
Let the length and breadth be 5x and 2x
According to the problem,
2( 5x +2x) = 2000
=> 7x = 1000
=> x= 1000/7
Therefore,
length = 5x = (5×1000)/7 = 714.29 m (approx)
breadth = 2x = (2×1000)/7 = 285.71 m (approx)

Answer 2

₹12.5 is the cost of fencing = 1m

₹ 1 is the cost of fencing = 1/12.5 m

₹ 25000 is the cost of fencing= 25000/12.5 m

= 2000m

Let the length and breadth be 5x and 2x

According to the problem,

2( 5x +2x) = 2000

=> 7x = 1000

=> x= 1000/7

Therefore,

length = 5x = (5×1000)/7 = 714.29 m (approx)

breadth = 2x = (2×1000)/7 = 285.71 m (approx)