The Problem:

The problem states that the perimeter of a rectangular swimming pool is 154m. It also mentions that the length of the pool is 2m more than twice its breadth. We need to find the length and breadth of the pool.

Understanding the Problem:

To solve this problem, we need to know the formulas for the perimeter of a rectangle and the relationship between the length and breadth. The perimeter of a rectangle is given by the formula:

Perimeter = 2 * (Length + Breadth)

The problem also tells us that the length is 2m more than twice the breadth. So we can express this relationship as:

Length = 2 * Breadth + 2

Solution:

Let's solve this problem step by step.

Step 1: Assign Variables

Let's assign variables to the length and breadth of the pool:
- Let L be the length of the pool
- Let B be the breadth of the pool

Step 2: Translate the Problem into Equations

We can now translate the problem into equations using the information given:
- The perimeter of the pool is 154m, so we can write the equation as:
154 = 2 * (L + B)
- The length is 2m more than twice the breadth, so we can write the equation as:
L = 2B + 2

Step 3: Solve the Equations

We have two equations with two variables. We can solve them simultaneously to find the values of L and B.

Using the second equation, we can substitute the value of L in terms of B into the first equation:

154 = 2 * ((2B + 2) + B)

Simplifying the equation:

154 = 2 * (3B + 2)

154 = 6B + 4

Subtracting 4 from both sides:

150 = 6B

Dividing both sides by 6:

25 = B

Now, substitute the value of B back into the second equation to find the value of L:

L = 2(25) + 2
L = 50 + 2
L = 52

Step 4: Check the Solution

To check if our solution is correct, we can substitute the values of L and B into the first equation:

154 = 2 * (52 + 25)
154 = 2 * 77
154 = 154

The equation is balanced, which means our solution is correct.

Conclusion:

Therefore, the length of the pool is 52m and the breadth of the pool is 25m.