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 after dilation

To find the side length of the dilated square, we multiply the original side length by the scale factor. The original side length is 3 inches, and the scale factor is 1.5. So, the new side length \( s \) is calculated as:
\( s = 3 \times 1.5 \)
\( s = 4.5 \) inches.

Step2: Calculate the area of the dilated square

The area \( A \) of a square is given by the formula \( A = s^2 \), where \( s \) is the side length. We now use the new side length we found in Step 1.
\( A = (4.5)^2 \)
\( A = 20.25 \) square inches.

Answer:

20.25