Question

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?

Answer 1

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