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 2km . Find the length and breadth of the field.

Answer 1

Let length be 2x km and breadth be x km
5[2(2x+x)]=2
5(6x)= 2
X=2/30=1/15km
Therefore, breadth = 1/15 km
Length= 2*1/15= 2/15 km

Answer 2

L:B =2:1
let l:b be x
length = 2x
breath = x
perimeter = 2(2x+ x)
men run 5 time
= 5× 2(2x + x)
distance travel in 5 time's = 2km
therefore, 2km = 5×2(2x+x)
2/5=2(2x+x)
2/5×2=(2x+x)
1/5=(2x+x)
1/5×2=x+x
1/10=2x
1/10×2=x
1/20=x
therefore,lenth = 2x =2×1/20
=1/10
=0.1km
breadth= x
= 1/20