Question 254632
We start with ratio of corresponding sides as 1:4.
Sides, lengths, widths, and perimeters are all called 1 dimensional.
area, surface area, lateral area are all called 2 dimensional.
Volumes are called 3 dimensional
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To go from a 1 dimensional ratio to a 1 dimensional ratio, just use the same fraction.
To go from a 1 dimensional ratio to a 2 dimensional ratio, square the 1 dimensional fraction.
To go from a 1 dimensional ratio to a 3 dimensional ratio, cube the 1 dimensional fraction
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we want the ratio of perimeter, so 1:4  = 1:4.
We want the area ratio, so 1:4 - -> (1:4)^2 = 1:16.