Answer:
[tex]6 in[/tex]
Step-by-step explanation:
The side length of the square is 18 inches.
If the this square is dilated by a scale factor of [tex]\frac{1}{3}[/tex], then the length of the resulting square can be calculated by multiplying the scale factor by the side length of the original square.
The side length of the resulting square is [tex]=\frac{1}{3}\times 18=6in[/tex]
Therefore the resulting square is 6 inches long.
