The text is in Arabic and translates to:

"The sum of the lengths of the sides of a rectangle is 32 meters. If the width of the rectangle is 5 meters, what is its length?"

Let's solve this problem:

1. Understanding the given information:

   • The perimeter (sum of all sides) of the rectangle is 32 meters.
   • The width of the rectangle is 5 meters.

2. Formula for the perimeter of a rectangle: $\text{Perimeter} = 2 \times (\text{length} + \text{width})$

3. Substitute the given values: $32 = 2 \times (\text{length} + 5)$

4. Solve for the length: $32 = 2 \times (\text{length} + 5) \implies 32 = 2 \text{length} + 10$ $32 - 10 = 2 \text{length} \implies 22 = 2 \text{length}$ $\text{length} = \frac{22}{2} = 11$

Answer:

The length of the rectangle is 11 meters.

Would you like further details or have any questions?

Here are some related questions you might be interested in:

1. What is the area of the rectangle if its length is 11 meters and width is 5 meters?
2. How do you calculate the perimeter of other geometric shapes?
3. How does changing the width affect the perimeter and area of a rectangle?
4. What are the properties of a rectangle?
5. Can you determine the diagonal length of the rectangle using its sides?

Tip: When solving problems involving rectangles, remember that the perimeter is twice the sum of the length and width.