Apply scale factors to length, area, and volume using k, k^2, and k^3 relationships.
Find the new length after a dilation by scale factor k
Problem
An object with original length \(8\) is dilated by scale factor \(3\). Find the new length.
Big Picture
What this problem is really about
A scale factor is a multiplicative comparison, and a single length uses that factor to the first power. We’ll identify the original measure and the forward dilation factor, multiply rather than add, and verify the direction by checking that the image-to-original length ratio reproduces the stated factor.
Inside Gozunta
Turn the preview into practice.
More than a preview
Gozunta lets you study this problem—and more than 10,000 others.
Create targeted learning sessions, use hints, check your answer, read the walkthrough, watch the video, print the work, and track your progress.
