The perimeter of the front face of a prism is 88 feet. The side lengths of the front face are 2x feet, (4x + 8) feet, 2x feet, and (4x + 8) feet. What is the value of x?

The perimeter of the front face of the prism = 88 feet.

The front face of a prism is a two-dimensional figure.

The side lengths are 2x feet, 4x+8, 2x feet, and 4x+8 feet.

Since both the opposite sides of the face are equal, it is a rectangle.

The perimeter is the sum of all the sides of the rectangle.

2x + (4x+8) + 2x + (4x+8) = 88 feet

12x + 16 = 88

12x = 88-16

12x = 72

x = 72/12

x=6 feet