Final answer:
The length of the swimming pool is 52m and the breadth is 25m. Therefore, the length of the pool is 52m and the breadth of the pool is 25m.
Step-by-step explanation:
Let's denote the breadth of the pool as 'b'.
According to the question, the length of the pool is '2m more than twice its breadth', which can be represented as '2b + 2'.
The perimeter of a rectangle is given by the formula P = 2(length + breadth).
Therefore, we can write the equation as 154 = 2((2b + 2) + b).
Simplifying the equation, we have 154 = 2(3b + 2), which further simplifies to 154 = 6b + 4.
Now, we can solve for 'b': 6b = 154 - 4, 6b = 150, b = 150/6, b = 25.
Substituting the value of 'b' back into the length equation, we have length = 2(25) + 2, length = 52.
Therefore, the length of the pool is 52m and the breadth of the pool is 25m.