If the ratio between the length and the perimeter of a rectangular plot is 1:3 then the ratio between the length and breadth of plot is?

let the length be x

let the breadth be y
perimeter = 2x + 2y

given : length : perimeter = x : 2x+2y = 1:3
x/(2x+2y) = 1/3
3x = 2x+2y
x = 2y

length : breadth = x : y
= 2y:y
= 2 : 1

To find the ratio between the length and breadth of the plot, we need to understand the relationship between the length, breadth, and the perimeter of a rectangular plot.

Let's assume the length of the plot is L and the breadth is B. The perimeter of a rectangle is given by the formula:

Perimeter = 2(L + B)

According to the given information, the ratio between the length and the perimeter of the plot is 1:3. This means:

Length : Perimeter = 1 : 3

Substituting the values in terms of L and B:

L : 2(L + B) = 1 : 3

To obtain the ratio between the length and breadth, we rearrange the equation:

L / (2L + 2B) = 1 / 3

Now, cross multiply and solve for the ratio:

3L = 2L + 2B

3L - 2L = 2B

L = 2B

So, the ratio between the length and breadth of the plot is 2 : 1.

2:1

Dont undertand

I don't understand.