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Growing Rectangles printable sheet
Imagine a rectangle with an area of $20$cm$^2$
What could its length and width be? List at least five different combinations.
If you enlarge each of your rectangles by a scale factor of 2, what would their new dimensions be?
What would their areas be?
What do you notice?
What happens when you enlarge rectangles with different areas by a scale factor of 2?
What if you enlarge them by a scale factor of 3? Or 4? Or 5 ...? Or $k$?
What if $k$ is a fraction?
Explain and justify any conclusions you come to.
Do your conclusions apply to plane shapes other than rectangles?