Faye and Khai are correct.
Solution:
Given length of the rectangle = x + 10
Width of the rectangle = 2x
Faye says that the perimeter = 2x + (x + 10) + 2x + (x + 10)
Khai says that the perimeter = 2(2x) + 2(x + 10)
Jesse says that the perimeter = 4x + 20
To find who is correct:
Perimeter of the rectangle = Sum of all the sides
= 2x + (x + 10) + 2x + (x + 10)
Arrange like terms together.
= 2x + 2x + (x + 10) + (x + 10)
= 2(2x) + 2(x + 10)
= 4x + 2x + 20
= 6x + 20
Perimeter of the rectangle = 6x + 20
Faye says 2x + (x + 10) + 2x + (x + 10) which is in first step.
Khai says 2(2x) + 2(x + 10) which is in third step.
So, Faye and Khai are correct.
But Jesse says 4x + 20, which is not correct.
Because the perimeter is 6x + 20.
