Asquare has a side length of 36 feet. this square is dilated by a scale factor of 2/3 to create a new square. what is the side length of the new square?

the side length of the new square is, 24 feet

Step-by-step explanation:

Scale factor(k) is defined as the ratio of the dilated image to the Pre-image.

⇒

As per the statement:

A square has a side length of 36 feet. this square is dilated by a scale factor of 2/3

⇒Side length of the Pre-image square = 36 feet and k = 2/3

By definition we have;

Multiply both sides by 36 we have;

Simplify:

feet

therefore,  the side length of the new square is, 24 feet