Question

The perimeter of a rectangle is represented by the expression LaTeX: 2\left(3x+1\right)+2x2 ( 3 x + 1 ) + 2 x. Which statements explain correctly what each part of the expression represents? Select all that apply. One side of the rectangle measures LaTeX: x x One side of the rectangle measures LaTeX: 3x 3 x One side of the rectangle measures LaTeX: 3x+1 3 x + 1 LaTeX: x x is the coefficient in each term that represents the number of sides in a rectangle 2 is the coefficient in each term that represents 2 lengths and 2 widths in a rectangle One side of the rectangle measures LaTeX: 2x

Answer 1

Answer:

Step-by-step explanation:

Perimeter of a rectangle = 2(L+W)

L is the length of the triangle

W is the width

If the perimeter of a rectangle is represented by the expression $2\left(3x+1\right)+2$

In order to know what wat each part represents, we will rewrite the given equation in the form 2(L+W).

Given

$2\left(3x+1\right)+2x$

Perimeter of a rectangle

$2L+2W$

Compare the given function with the perimeter to get L and W

$L = 3x+1 \ and \ W = x$

Hence the following statements explain correctly what each part of the expression represents

- One side of the rectangle measures x (the length)

- One side of the rectangle measures 3x + 1 (the width)

- 2 is the coefficient in each term that represents 2 lengths and 2 widths in a rectangle.