Apply scale factors to length, area, and volume using k, k^2, and k^3 relationships.
Find the new area after a dilation
Problem
A figure with original area \(20\) is dilated by scale factor \(3\). Find the new area.
Big Picture
What this problem is really about
Area contains two independent length directions, so a dilation applies the linear factor twice. We’ll convert the stated scale factor into an area multiplier, apply that multiplier to the original area, and check the quotient of corresponding areas to make sure it matches the squared rather than linear factor.
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