Answer:
117 ft^2
Explanation:
The sum of the length and width is half the perimeter, so is 22 feet. If we let w represent the width of the rectangle, then w+4 is its length, and their total is ...
w + (w+4) = 22
2w = 18 . . . . subtract 4
w = 9 . . . . . . divide by 2
The area is ...
area = (9 ft)(9 ft + 4 ft) = 117 ft^2