Question

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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)
(square) sq. inches.

Explanation:

Step1: Find the new side length

The original side length of the square is 3 inches. When dilated with a scale factor of 1.5, the new side length \( s \) is calculated by multiplying the original side length by the scale factor. So, \( s = 3\times1.5 = 4.5 \) 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. Substituting \( s = 4.5 \) into the formula, we get \( A = 4.5^2 = 20.25 \) square inches.

Answer:

20.25