Question

question a triangle with an area of 82 units² is dilated by a scale factor of 3. find the area of the triangle after dilation. round your answer to the nearest tenth, if necessary. answer attempt 1 out of 2 units² submit answer show examples

Explanation:

Step1: Recall dilation area rule

When a figure is dilated by a scale factor \( k \), the area of the new figure is \( k^2 \) times the area of the original figure. Here, the scale factor \( k = 3 \), and the original area \( A_1=82 \) units².

Step2: Calculate new area

The formula for the new area \( A_2 \) is \( A_2=k^2\times A_1 \). Substitute \( k = 3 \) and \( A_1 = 82 \):
\( A_2=3^2\times82=9\times82 = 738 \)

Answer:

\( 738.0 \)