Question

if length and breadth of a rectangle are in the ratio 2:3, then the length units​

Answer 1

L:W <==> 2:3

this means length divided by width is equal to 2 divided by 3

and this is how you turn that in to mathematical equation L/W = 2/3

which means L = 2W/3 (or W = 3L/2 but we will just use use L for substitution. either one would work equally)

we also know L times W (LW) = 150, which is the value of the area

Now substitute 2W/3 in place of L and you should see that we get

w(2W/3)=150 <==> (2/3)W^2= 150 <==> 2W^2 = 450 <==> W^2 = 225 W= 15 ==> L = 10

It would be a good practice for you to try the same problem substituting L instead of W

hope this helps