To find the length of the rectangular park given its perimeter and breadth, you can follow these steps:

1. Understand the relationship:

   • The perimeter $P$ of a rectangle is given by: $P = 2 \times (\text{Length} + \text{Breadth})$
   • We know:
     • Perimeter $P = 151$ meters
     • Breadth $B = 29.5$ meters
     • Length $L = ?$ (what we need to find)

2. Set up the equation: $151 = 2 \times (L + 29.5)$

3. Simplify and solve for length:

   • Divide both sides of the equation by 2 to isolate $L + 29.5$:

   $\frac{151}{2} = L + 29.5$

   $75.5 = L + 29.5$

   • Subtract 29.5 from both sides to solve for $L$:

   $L = 75.5 - 29.5$

   $L = 46 \text{ meters}$

Thus, the length of the park is 46 meters.

Would you like further details or have any questions? Here are some related questions that might interest you:

1. How would the problem change if the perimeter was different?
2. Can you calculate the area of the park using the length and breadth?
3. What if the breadth was given in a different unit, like centimeters?
4. How can you verify that the calculated length is correct?
5. What if you were only given the area and the breadth, how would you find the length?
6. How does the perimeter formula apply to other shapes like squares or triangles?
7. What would be the dimensions if the park was square and had the same perimeter?
8. How would you approach this problem if you were given the diagonal length instead?

Tip: Always double-check your calculations by substituting the values back into the original formula to ensure accuracy.