Question

algebra 1 w.5 add polynomials to find perimeter bas
find the perimeter. simplify your answer.
diagram of a rectangle with top and bottom sides labeled ( c - 10 ), left and right sides labeled ( c - 8 )

Explanation:

Step1: Recall the perimeter formula for a rectangle.

The perimeter \( P \) of a rectangle is given by \( P = 2\times(\text{length} + \text{width}) \). From the diagram, the length is \( c - 8 \) and the width is \( c - 10 \).

Step2: Substitute the length and width into the formula.

\( P = 2\times((c - 8) + (c - 10)) \)

Step3: Simplify the expression inside the parentheses.

First, combine like terms: \( (c - 8) + (c - 10) = c + c - 8 - 10 = 2c - 18 \)

Step4: Multiply by 2.

\( P = 2\times(2c - 18) = 4c - 36 \)

Answer:

\( 4c - 36 \)