To solve the problem in the image, we need to find the diagonal of the rectangle.

Step-by-step approach:

1. Dimensions of the rectangle:

   • Length: $2.45 \, \text{m}$
   • Width: $1.79 \, \text{m}$

2. Using the Pythagorean theorem: The diagonal of a rectangle can be found using the Pythagorean theorem, since the diagonal forms a right triangle with the length and width as the two legs. The formula is:

   $d = \sqrt{l^2 + w^2}$

   where:

   • $l$ is the length ($2.45 \, \text{m}$),
   • $w$ is the width ($1.79 \, \text{m}$),
   • $d$ is the diagonal.

Let me calculate the diagonal for you.The length of the diagonal is approximately $3.03 \, \text{m}$, correct to two decimal places.

Would you like any further details or have any additional questions? Here are some related questions for practice:

1. How would the diagonal change if the width was increased to 2.00 m?
2. What is the area of the rectangle using the given dimensions?
3. If the perimeter of the rectangle is needed, how would you calculate it?
4. Can the diagonal of a square be calculated in the same way?
5. How can you derive the formula for the diagonal of a rectangle?

Tip: The Pythagorean theorem is a powerful tool to solve for any side of a right triangle when the other two sides are known.