Answer :
Two polygons are similar, and the ratio s1/s2 of their corresponding sides is 8/7 then the ratio of their areas, a1/a2 = 64/49.
In the given question, two polygons are similar, and the ratio s1/s2 of their corresponding sides is 8/7.
We have to find the ratio of their areas, a1/a2.
As we know that, the measurement of the area that a polygon encloses serves as its definition. The area of a polygon is the space that it takes up in a two-dimensional plane since polygons are closed plane structures.
As given that, two polygons are similar.
The ratio of their corresponding sides are
s1/s2 = 8/7
According to properties of similar polygon, the ratio of the areas of the two polygons is the square of the ratio of the sides. Hence,
a1/a2 = (s1/s2)^2
a1/a2 = (8/7)^2
a1/a2 = 64/49
Hence, two polygons are similar, and the ratio s1/s2 of their corresponding sides is 8/7 then the ratio of their areas, a1/a2 = 64/49.
To learn more about area of polygon link is here
brainly.com/question/22590672
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