The expression (4x – 7) represents the length of a rectangle, and the expression (3x + 6) represents the width. Which expression represents the perimeter of the rectangle?
a. 7x-1
b. 12x^2 - 45x + 42
c. 14x - 2
d. 12x^2 + 3x - 42

Respuesta :

Answer:

Option C

Step-by-step explanation:

To find the expression that represents the perimeter of the rectangle, we need to add up all the sides of the rectangle since the perimeter is the total distance around the shape.

Given:

Length of the rectangle = 4x - 7

Width of the rectangle = 3x + 6

To find the perimeter, we add up all the sides:

Perimeter = 2(length) + 2(width)

Perimeter = 2(4x - 7) + 2(3x + 6)

Perimeter = 8x - 14 + 6x + 12

Perimeter = 14x - 2

Therefore, the expression that represents the perimeter of the rectangle is 14x - 2, which corresponds to option c.