Question

the ratio of length to breadth of a rectangular field is 2 :1 a man runs 5 times around this field and covers the distance of 2 km find the length find the length and breadth of the field

Answer 1

let the length and breadth be 5x and 2x
total length including path = 5x+5
total breadth including Path = 2x+5
area of path = total area - area of park
446 = (5x+5)*(2x+5) - 5x*2x
446 = 10x^2+25x+10x+25- 10x^2
446 = 35x+25
x = 446-25/35
x = 421/35
length = 5*421/35 = 60.12m
breadth = 2*421/35 = 24.05m

Answer 2

Answer:

Step-by-step explanation:

length =2x

breadth =x

perimeter = 2*(2x+x)

= 6x

distance covered = 5*6x = 30x

30x = 2000 (2km = 2000m)

x = 200/3

breadth = 66.67 m

length = 2*200/3 = 400/3

=133.33 mm