Question

w.5 add polynomials to find perimeter sas
find the perimeter. simplify your answer.
diagram of a rectangle with top and bottom sides labeled 1, left and right sides labeled 2s-8

Explanation:

Step1: Recall perimeter formula for rectangle

The perimeter \( P \) of a rectangle is given by \( P = 2\times(\text{length}+\text{width}) \). From the diagram, the length is \( 2s - 8 \) and the width is \( 1 \).

Step2: Substitute values into the formula

Substitute length \( = 2s - 8 \) and width \( = 1 \) into the perimeter formula:
\( P = 2\times((2s - 8)+1) \)
First, simplify the expression inside the parentheses: \( (2s - 8)+1 = 2s - 8 + 1 = 2s - 7 \)
Then, multiply by 2: \( P = 2\times(2s - 7) = 4s - 14 \)
Alternatively, we can sum all the sides directly. The rectangle has two sides of length \( 2s - 8 \) and two sides of length \( 1 \). So the perimeter is \( (2s - 8)+(2s - 8)+1 + 1 \)
Combine like terms: \( (2s + 2s)+(-8 - 8)+(1 + 1)=4s - 16 + 2 = 4s - 14 \)

Answer:

\( 4s - 14 \)