Length and breadth of a rectangular field are in the ratio 5 ratio 4 if the perimeter of the field is 810 cm, then find its length and breadth in metres
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Given the ratio between length and breadth as

It can be written as :

where x is an arbitrary constant
So , we now have :


and so applying the perimeter formula ,
l+b = perimeter, we get
l + b = 810
or, 5x + 4x = 810
or 9x = 810
or x = 90
from this, l and b can be calculated as :
l = 5x = 5×90 = 450cm
b= 4x = 4×90 = 360cm
It can be written as :
where x is an arbitrary constant
So , we now have :
and so applying the perimeter formula ,
l+b = perimeter, we get
l + b = 810
or, 5x + 4x = 810
or 9x = 810
or x = 90
from this, l and b can be calculated as :
l = 5x = 5×90 = 450cm
b= 4x = 4×90 = 360cm
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