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Concept

Area Scale Factor

For similar figures, the ratio between their areas is called the area scale factor.

Area Scale Factor Area of Figure2/Area of Figure1 or Area of Figure2: Area of Figure1

The scale factor of the areas of similar figures can also be calculated by squaring the length scale factor of the figures.

Example Considering Similar Figures

Examine these two similar triangles.

It can be seen that the areas of △ ABC and △ PQR are 3 and 27 square units, respectively. This is enough information to calculate the area scale factor.

Area Scale Factor=Area of Figure2/Area of Figure1

SubstituteII

Area of Figure1= 3, Area of Figure2= 27

Area Scale Factor=27/3

CalcQuot

Calculate quotient

Area Scale Factor=9

Exercises

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