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

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,