Question

Question
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?



Responses

2x + 9
2 x + 9

2(x+18)
2 left parenthesis x plus 18 right parenthesis

x + 9
x + 9

2x + 18

Answer 1

The perimeter \( P \) of a rectangle can be calculated using the formula:

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

In this case, the width is 9 cm and the length is \( x \) cm. Plugging these values into the formula, we get:

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

This simplifies to:

\[
P = 2x + 18
\]

Therefore, the expression that represents the perimeter of the picture frame is:

**2x + 18**.