Which is the correct expression for the perimeter of a rectangle where the width is represented by R and the length is represented by R+2?

Question

A.
4R + 4
B.
4R
C.
4R + 2
D.
2R+2

Answer 1

To find the perimeter \( P \) of a rectangle, you can use the formula:

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

In this case, the width is \( R \) and the length is \( R + 2 \).

Substituting these values into the formula gives:

\[ P = 2 \times ((R + 2) + R) \]

Simplifying this:

\[ P = 2 \times (R + 2 + R) = 2 \times (2R + 2) = 4R + 4 \]

Therefore, the correct expression for the perimeter of the rectangle is:

A. \( 4R + 4 \).