Apply scale factors to length, area, and volume using k, k^2, and k^3 relationships.
Find the original measure from a scale factor and the image measure
Problem
Given a scale factor of \(3\) for length and an image measure of \(24\), find the original measure.
Big Picture
What this problem is really about
Because the image measure is already known, the forward dilation must be undone rather than applied again. We’ll write image length as the scale factor times original length, substitute according to those roles, divide by the factor, and verify by rebuilding the image in the forward direction.
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