We have two corresponding sides of similar figures that measure 4 meters and 8 meters. Let's find the scale factor.
Scale Factor: 4/8=1/2
The scale factor for our figures is 12. Using this, we can find the ratio of the areas.
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Scale Factor & & Ratio of the Areas [0.8em]
1/2 & ⇒ & 1^2/2^2= 1/4
Finally, let x be the area of the smaller octagon. We will write and solve a proportion using the ratio of the areas and the area of the larger figure, which is 309m^2.
