The rectangle graphed has a length of 3 and a width of 2. How does the perimeter change if the width is increased by 4? A) The perimeter is doubled. B) The perimeter is increased by 4. C) The perimeter is increased by 6. D) The perimeter is increased by 8.

The answer to your question is the letter D.

Step-by-step explanation:

Data

First rectangle                       Second rectangle

length = 3                               length = 3

width = 2                                 width = 2 + 4 = 6

Process

1.- Calculate the Perimeter of the first rectangle

Perimeter = 2l + 2w

Perimeter = 2(3) + 2(2)

                 = 6 + 4

                 = 10

2.- Calculate the perimeter of the second rectangle

Perimeter = 2(3) + 2(6)

Perimeter = 6 + 12

Perimeter = 18

3.- Compare both perimeters

                Perimeter 1 is smaller than Perimeter 2 by 8 units