The exercise asks to calculate the diagonal of a rectangle with a base of 24 meters and a height of 10 meters, then express the result in centimeters.

This is a typical application of the Pythagorean theorem, which is used to find the diagonal of a rectangle. The theorem states that for a right triangle with legs $a$ and $b$, and hypotenuse $c$:

$c = \sqrt{a^2 + b^2}$

Here:

• $a = 24 \, \text{m}$ (base of the rectangle),
• $b = 10 \, \text{m}$ (height of the rectangle),
• $c$ is the diagonal (which we are solving for).

Let's calculate the diagonal $c$.The length of the diagonal is $2600 \, \text{cm}$.

Would you like more details or have any further questions?

Here are some related questions:

1. How is the Pythagorean theorem applied in real-world problems?
2. How can you find the perimeter of the rectangle using its diagonal?
3. What would the diagonal be if the dimensions were doubled?
4. How can you calculate the area of a rectangle?
5. What is the relationship between the diagonal and the sides of a rectangle?

Tip: Always remember to convert units properly when solving problems, especially when the result is required in a different unit than the input.