Question

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. (1 point)

the area of the dilated square is \\(\square\\) square inches.

Explanation:

Step1: Find the side length of the dilated square

The original side length is 3 inches, and the scale factor is 1.5. So the new side length \( s = 3\times1.5 = 4.5 \) inches.

Step2: Calculate the area of the dilated square

The area of a square is \( A = s^2 \). Substituting \( s = 4.5 \), we get \( A = 4.5^2 = 20.25 \) square inches.

Answer:

20.25