A rectangle has a perimeter represented by the expression

Question

6a−2.
Which expression represents the sum of the length and width of the rectangle?
Responses
3a−2
3a−1
−2
6a

Answer 1

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

\[ P = 2L + 2W \]

where \( L \) is the length and \( W \) is the width. This can be factored as:

\[ P = 2(L + W) \]

In this case, we are given that the perimeter is represented by the expression \( 6a - 2 \). This means:

\[ 2(L + W) = 6a - 2 \]

To find the sum of the length and width, \( L + W \), we need to divide both sides of the equation by 2:

\[ L + W = \frac{6a - 2}{2} \]

Now, simplify the right side:

\[ L + W = 3a - 1 \]

Therefore, the expression that represents the sum of the length and width of the rectangle is:

\[ \boxed{3a - 1} \]