Question

representing perimeter using a polynomial expression
the perimeter formula for a rectangle is 2l + 2w, where l is the length and w is the width.
complete the steps to find an expression that represents the perimeter of the rectangle.

1. substitute the expressions for length and width into the formula 2l + 2w.
2. distribute 2 to each term in the parentheses.
3. combine like terms.

Explanation:

Step1: Substitute length and width

$2(8x - 1)+2(2x + 4)$

Step2: Distribute 2

$2\times8x-2\times1 + 2\times2x+2\times4=16x-2 + 4x + 8$

Step3: Combine like terms

$(16x+4x)+(-2 + 8)=20x + 6$

Answer:

$20x + 6$