Respuesta :
Answer:
Therefore a swimmer will travel [tex]25\sqrt{5}[/tex] m , if he swim from one corner to the the opposite .
Step-by-step explanation:
Rectangle:
- Parallel sides of a rectangle are congruent.
- All angles of a rectangle is 90°.
- The sum of all angles is 360°.
- The area of a rectangle is = length×breadth
- The perimeter of a rectangle = 2(length+breadth)
- The length of diagonal =[tex]\sqrt{Lenght^2+ breadth^2}[/tex]
Given that the dimension of the swimming pool is 50 m ×25 m
The length of the pool ≠The breadth of the pool
Therefore the shape of pool is rectangle.
To swim one corner to the opposite corner of the pool , it is actually the length of diagonal of the pool.
Therefore the diagonal of the pool =[tex]\sqrt{Lenght^2+ breadth^2}[/tex]
[tex]=\sqrt{50^2+25^2}[/tex] m
[tex]=\sqrt{25^2(2^2+1^2})[/tex] m
[tex]=25\sqrt{5}[/tex] m
Therefore a swimmer will travel [tex]25\sqrt{5}[/tex] m , if he swim from one corner to the the opposite.