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.