The area of the second polygon is found by multiplying the area of the first polygon by the scale factor squared. If you know two corresponding sides of similar polygons you can find the scale factor by dividing one corresponding side by the other.Click to see full answer. Thereof, how do you find the ratio of the areas of similar polygons? Area ratio The ratio of the areas of the two polygons is the square of the ratio of the sides. So if the sides are in the ratio 3:1 then the areas will be in the ratio 9:1. This is illustrated in more depth for triangles in “Similar Triangles – ratio of areas”, but is true for all similar polygons, not just triangles. how are the perimeters and areas of similar polygons related? Area and Perimeter of Similar Polygons. Polygons are similar when the corresponding angles are equal and the corresponding sides are in the same proportion. The scale factor for the sides of two similar polygons is the same as the ratio of the perimeters. The ratio of the areas is the square of the scale factor. Subsequently, question is, how do you find out the area of a polygon? To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides. Apothem = a segment that joins the polygon’s center to the midpoint of any side that is perpendicular to that side.What are the two characteristics of similar polygons?Two polygons are similar if their corresponding angles are congruent and the corresponding sides have a constant ratio (in other words, if they are proportional). Typically, problems with similar polygons ask for missing sides. To solve for a missing length, find two corresponding sides whose lengths are known.
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