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?

6 feet

Step-by-step explanation:

The perimeter of the front face of the prism can be obtained by adding together the lengths of the sides of the front face.

Hence, to get the value of x, we need to add together, the values of these lengths and equate to 88.

This means: 2x + 2x + (4x + 8) + (4x + 8) = 88

Opening the brackets;

4x + 4x + 8 + 4x + 8 = 88

12x + 16 = 88

12x = 88 - 16

12x = 72

x = 72/12

x = 6 feet