Math Problem Statement

Нарисуйте прямоугольный бассейн площадью 145 квадратных метров, на границе которого расположены 5 лестниц так, что от любой точки бассейна хотя бы до одной из лестниц не дальше, чем 5 метров.

Solution

Here is a visual representation of a rectangular swimming pool with an area of 145 square meters, surrounded by five stairs, each placed so that no point on the pool is farther than 5 meters from a stair. Let me know if you'd like to adjust the design or if you have any questions!

Would you like to dive deeper into the geometry of this setup, or explore related topics?

Here are some questions to consider:

  1. How would the dimensions of the pool affect the placement of the stairs?
  2. What are some optimal configurations for pool accessibility?
  3. How does the concept of distance in this setup relate to the geometric center of the pool?
  4. How might landscaping around the pool affect the design of the stairs?
  5. What are the mathematical principles behind maintaining the 5-meter condition?

Tip: When designing any space, consider the ease of movement and accessibility. Equally distributed stairs improve convenience and safety.

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Math Problem Analysis

Mathematical Concepts

Geometry
Distance
Optimization

Formulas

Area of a rectangle: A = length × width

Theorems

Geometric center
Optimization of distances

Suitable Grade Level

Grades 10-12