Answer:
Option D.
Step-by-step explanation:
Let x be the original length of each side in feet.
Length of each side of a square is decreased by 4 feet.
New length = (x-4) feet.
Perimeter of a square is
[tex]Perimeter=4(side)[/tex]
Perimeter of new square is
[tex]Perimeter=4(x-4)[/tex]
[tex]Perimeter=4x-16[/tex]
It is given that the perimeter of the square is now 32 feet.
[tex]4x-16=32[/tex]
[tex]4x=32+16[/tex]
[tex]4x=48[/tex]
Divide both sides by 4.
[tex]x=12[/tex]
The original length of each side is 12 feet.
Therefore, the correct option is D.
