Question

If the area of two similar polygons are 64 and 81 sq. units, respectively, find the ratio of the sides of these polygons.

Answer 1

Answer:

2=x

Step-by-step explanation:

If the area of two similar polygons are 64 and 81 sq. units, respectively, find the ratio of the sides of these polygons.

Answer 2

Concept

Two polygons are similar if their corresponding angles are congruent and therefore the corresponding sides have constant ratio (in other words, if they're proportional). The symbol for “is similar to” is ∼. Notice that it's some of the “is congruent to” symbol, ≅.

Given

The area of two similar polygons are 64 and 81 square units.

To find

The ratio of the edges of the polygons whose area is 64 and 81 square units.

Explanation

If two polygons are similar then their area is capable the square of the ratio of their corresponding sides.

ratio of their area=$(side1/side2)^{2}$

64:81=$(side1/side2)^{2}$

8:9=side1/side2

side1/side2=8/9

Hence the ratio of sides is 8:9.

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