Let's take the breadth as x.
the length will be 3x.
formula for perimeter 2*(length+breadth)
2*(3x+x)
=2*4x
=8x
8x=72m.
then x=72/8=9m.
length or 3x=9*3=27m.
hence, length of the rectangle is 27m. and breadth of the rectangle is 9m.

The problem states that the length of a rectangular field is three times its breadth. We need to find the length and breadth of the field given that the perimeter is 72 meters.

Let's break down the problem step by step:

Step 1: Understand the problem
- We have a rectangular field with a length and breadth.
- The length is three times the breadth.
- The perimeter of the field is given as 72 meters.

Step 2: Identify the known values
- Perimeter = 72 meters

Step 3: Identify the unknown values
- Length of the field
- Breadth of the field

Step 4: Formulate the equations
- Perimeter of a rectangle = 2 * (Length + Breadth)
- According to the problem, Length = 3 * Breadth
- Substituting the length value in terms of breadth in the perimeter equation, we get:
72 = 2 * (3 * Breadth + Breadth)

Step 5: Solve the equation
- Simplifying the equation:
72 = 2 * (4 * Breadth)
72 = 8 * Breadth
Breadth = 72 / 8
Breadth = 9 meters

- Since the length is three times the breadth, we can calculate the length:
Length = 3 * 9
Length = 27 meters

Step 6: Check the solution
- To verify our solution, we can calculate the perimeter using the values we found:
Perimeter = 2 * (Length + Breadth)
= 2 * (27 + 9)
= 2 * 36
= 72 meters

- The calculated perimeter matches the given perimeter, so our solution is correct.

Step 7: Answer
- The length of the rectangular field is 27 meters, and the breadth is 9 meters.