If the areas of two similar polygons are in the ration 64:81, then the ratio of their corresponding sides are [tex]\frac{8}{9}[/tex]
What are polygons?
"A polygon, in geometry, any closed curve consisting of a set of line segments (sides) connected such that no two segments cross."
The simple polygons are triangles (3 sides), quadrilaterals (4 sides), and pentagons (5 sides).
Now if we take the given polygon as square (4 sides).
Then,
Let the sides of squares are a and b.
[tex]\frac{a^{2} }{b^{2} }=\frac{64}{81} \\\frac{a}{b}=\sqrt{\frac{64}{81} } \\\frac{a}{b}=\frac{8}{9}[/tex]
Hence, the ratio of the corresponding sides of polygon is [tex]\frac{8}{9}[/tex]
Learn more about the polygons here
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