Final answer:
The value of x for the rectangle with a perimeter of 70 feet with sides x + 4 and 2x - 8 is 13 feet.
Step-by-step explanation:
To find the value of x for the rectangle when given the perimeter of 70 feet and the sides as x + 4 and 2x - 8, we must first understand that the perimeter (P) of a rectangle is calculated by the formula P = 2(length + width).
Let's set up the equation using the given information:
2(x + 4) + 2(2x - 8) = 70
Expanding the equation, we get:
2x + 8 + 4x - 16 = 70
Combining like terms, this simplifies to:
6x - 8 = 70
Adding 8 on both sides gives us:
6x = 78
Dividing by 6, we find that:
x = 13
Therefore, the value of x is 13 feet.