A rectangular picture frame has a width of 9 cm and a length of x cm.

Which expression represents the perimeter of the picture frame?

The perimeter \( P \) of a rectangle is given by the formula:

\[
P = 2 \times (\text{length} + \text{width})
\]

For your picture frame, the width is \( 9 \) cm and the length is \( x \) cm. Plugging in these values:

\[
P = 2 \times (x + 9)
\]

So, the expression representing the perimeter of the picture frame is:

\[
P = 2(x + 9)
\]

Would you like any further explanation or have any questions?

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Here are some related questions you might find interesting:
1. How would you find the area of the picture frame?
2. What is the perimeter if the length \( x \) is 15 cm?
3. If the perimeter is 50 cm, how would you solve for \( x \)?
4. How does the perimeter change if both the length and width are doubled?
5. What is the formula for the diagonal of the rectangle?
6. How would the expression change if the width was \( y \) cm instead of 9 cm?
7. Can you express the length in terms of the perimeter and width?
8. What is the difference between perimeter and area?

**Tip:** When dealing with algebraic expressions, always ensure you simplify where possible for easier calculations and interpretations.

Learn how to calculate the perimeter of a picture frame with a width of 9 cm and a length of x cm using the formula P = 2(x + 9). This problem is ideal for students learning about perimeter in geometry. Suitable for Grades 4-6.

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