Final answer:
The width of the rectangle is 2.2 feet.
Step-by-step explanation:
To find the width of the rectangle, we can set up a proportion using the given length and the fact that the area and perimeter have the same numerical value.
Let's assume that the width of the rectangle is w feet.
The area of the rectangle is given by length x width = 22 x w = 22w square feet.
The perimeter of the rectangle is given by 2(length + width) = 2(22+w) = 44 + 2w feet.
Since the area and perimeter are equal, we can write the proportion:
22w = 44 + 2w
Simplifying and solving for w:
20w = 44
w = 44/20 = 2.2 feet
Therefore, the width of the rectangle is 2.2 feet.