Answer:
The side length of the new square is 24 ft.
Explanation:
Dilations
A dilation is a transformation that produces a new image that is the same shape as the original but of a different size.
A dilation stretches or shrinks the original figure. To describe a dilation it's usually included the scale factor (or ratio) and the center of the dilation.
We have a square with a side length of 36 ft. When this square is dilated by a scale factor of 2/3, the new square will have a side length of 36*2/3= 24 ft.
The side length of the new square is 24 ft.