Answer: C.
The initial area of the square was 36 feet, which means that each side was 6 feet. If each side is lengthened by 4 feet, you have to add 4 feet to each side to get the length of 10 feet, and then multiply each side by 4 to get the perimeter of the new square. (4s) equals perimeter of a square. (s= length of each side)