Question 746278
Using x for length and y for breadth
Perimeter = 2x + 2y = 60
Area = xy = 200
        x = 200/y

Substitute x = 200/y
in 2x + 2y = 60

  2(200/y)+ 2y = 60
  200/y + 2y - 60 = 0

Take to a common denominator
= y
  200 + 2y^2 - 60y = 0
rearrange
  2y^2 - 60y + 200
  2( y^2 - 30y + 100)
  2(y - 10)(y - 20)

   Substitute y = 10 and y = 20
   into 2x + 2y = 60

    2x + 2(10) = 60
    2x + 20 = 60
    2x = 40
    x = 20

    2x + 2(20) = 60
    2x + 40 = 60
    2x = 20
    x = 10

So either the length is 10 m and breadth is 20m
or
length is 20m and breadth is 10m