Answer:
Step-by-step explanation:
Let L represent the length of one side of the square.
A Square has its length and width increase by 2 feet and 4 feet respectively so that it is now a rectangle. This means that the length of the new rectangle would be L - 2 and its width would be L - 4
The perimeter of the original square is 4L.
The perimeter of the new rectangle is 8 feet less than twice the original perimeter. This means that
2[(L - 2) + (L + 4) = 4L × 2 - 8
2(L - 2 + L + 4) = 8L - 8
4L + 4 = 8L - 8
8L - 4L = 4 + 8
4L = 12
L = 12/4 = 3
The original perimeter of the square is
3 × 4 = 12 feet
