Let's start by finding the perimeter of the rectangle using the given information:
Perimeter = 2 * (Length + Width)
Given: Perimeter = 11x + 35
Length = 3x + 3.5
Width = 4x + 5
Substituting these values into the formula for perimeter:
11x + 35 = 2 * ((3x + 3.5) + (4x + 5))
Simplifying:
11x + 35 = 2 * (7x + 8.5)
11x + 35 = 14x + 17
Now, we can isolate x:
11x - 14x = 17 - 35
-3x = -18
Dividing both sides by -3:
x = 6
Now that we have the value of x, we can find the width of the rectangle:
Width = 4x + 5 = 4(6) + 5 = 24 + 5 = 29 feet
Therefore, the width of the rectangle is 29 feet.