Let L represent the length of the rectangle.
Let W represent the width of the rectangle.
The length of the rectangle is eight more than double the width. This would be expressed as
L = 2W + 8
The formula for determining the perimeter of a rectangle is expressed as
Perimeter = 2(length + width)
Given that perimeter of the rectangle is 94 inches, it means that
2(L + W) = 94
Dividing both sides of teh equation by 2, it becomes
L + W = 94/2 = 47
L = 47 - W
By comparing this equation with the first one, we have
2W + 8 = 47 - W
2W + W = 47 - 8
3W = 39
W = 39/3
W = 13
L = 47 - W = 47 - 13
L = 34
Length = 34 inches
Width = 13 inches