Frank draws a square that measures 3 inches on each side. Then, he dilates the square using a scale factor of 1.5. What is the area of the dilated square? Use a decimal response if necessary
The side length of the dilated square is $3(1.5)=4.5$ inches long. The area of a square is equal to the side length squared, so the area of the dilated square is $4.5^2=20.25$ square inches. Rounded to the nearest hundredth, the area is $\boxed{20.25}$ square inches.
