SOLUTION: If the ratio of the corresponding diagonals of two similar figures is 4 : 9 ,then what is the ratio of their perimeters?

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Remember with similar figures, that have proportional sides,
.
length and perimeter varies as Scale Factor ^1
.
Area varies as SF^2
.
and Volume varies as SF^3
.
in our case SF = 4/9, perimeters have this same ratio, 4/9