Question

12
use the distributive property to write an expression to represent the
perimeter of the rectangle. then write the expression in simplest form.

hint: perimeter is the sum of two times the length plus two times the
width.

simplest form =

Explanation:

Step1: Apply the perimeter formula

The perimeter \( P \) of a rectangle is \( P = 2l+2w \), where \( l = 2x + 1 \) and \( w=3x - 5 \). So the expression is \( 2(2x + 1)+2(3x - 5) \).

Step2: Use the distributive property

$$
LATEXBLOCK0
$$

Step3: Combine like - terms

$$
LATEXBLOCK1
$$

Answer:

\( 2(2x + 1)+2(3x - 5) \); \( 10x - 8 \)