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The image shows a problem that asks to find the perimeter of a rectangle, with the sides labeled as \( u + 1 \) and 1.

### Steps to find the perimeter:

The formula for the perimeter \( P \) of a rectangle is:
\[
P = 2 \times (\text{length} + \text{width})
\]

Here, the lengths of the sides are:
- Two sides are \( u + 1 \),
- Two sides are 1.

Thus, the perimeter \( P \) is:
\[
P = 2 \times ((u + 1) + 1)
\]
Simplifying the expression:
\[
P = 2 \times (u + 1 + 1) = 2 \times (u + 2) = 2u + 4
\]

### Final Answer:
The perimeter is \( 2u + 4 \).

Would you like further details, or have any questions about this?

### Related Questions:
1. How do you find the area of this rectangle?
2. What happens to the perimeter if \( u \) is doubled?
3. Can the perimeter ever be less than 4? Why or why not?
4. How would you express the perimeter for a square?
5. How do you factor the expression \( 2u + 4 \)?

### Tip:
Always simplify your expressions as much as possible to ensure accuracy in perimeter or area calculations.

Find the perimeter of a rectangle with sides labeled as (u + 1) and 1.

Learn how to calculate the perimeter of a rectangle with polynomial side lengths, including steps for simplifying expressions. This problem is suitable for students in Grades 7-9.

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