Mathematics: The ratio of the areas of similar polygons is 64: 16. What is the ratio of their sides

The ratio of the areas of similar polygons is 64:

Ответ:

jwhit28

10.02.2022

Mathematics

8:4

Step-by-step explanation:

Given that,

The ratio of the areas of similar polygons is 64: 16, A₁:A₂=64: 16

We need to find the ratio of their sides. For similar polygons, the ratio of the area is proportional to the square of the ratio of their corresponding sides.

Let sides are x₁ and x₂. So,

$\dfrac{A_1}{A_2}=(\dfrac{x_1}{x_2})^2\\\\\dfrac{x_1}{x_2}=\sqrt{\dfrac{A_1}{A_2}} \\\\=\sqrt{\dfrac{64}{16}}\\\\=\dfrac{8}{4}$

So, the required ratio is 8:4.

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Ответ:

tylerwayneparks

27.05.2022

Mathematics

if the rectangular pool has a area of 192 square ft. and length of 15 ft. you must divide 15 into 192. 192 ÷ 15 = about 13 ft.

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The ratio of the areas of similar polygons is 64: 16. What is the ratio of their sides

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