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Whatever the ratio of perimeters of the similar figures, the areas will be in the ratios squared.

Examples:

* if the figures have perimeters in a ratio of 1:2, their areas will have a ratio of 1²:2² = 1:4.

* If the figures have perimeters in a ratio of 2:3, their areas will have a ratio of 2²:3² = 4:9.

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โˆ™ 2015-05-31 06:54:16
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โˆ™ 2015-05-30 14:06:01

If the figures are similar, all linear measurements are proportional, while equivalent areas are proportional to the square of the area. For example, if you increase the length by a factor of 10, both the width and the perimeter will also increase by a factor of 10; while the area will increase by a factor of 10 squared (= 100).

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Q: What is the relationship between perimeters and areas of similar figures?
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Related questions

What do you know about the perimeters of similar figures?

The areas are different.


What does the scale factor between two similar figures tell you about the perimeters?

if you add up all the sides but in a smart way


What is the relationship between corresponding angles of similar figures?

They must be the same.


How are the perimeters of two similar figures related?

they are related when you can multiply or divide them together and get a whole number


What does the scale factor between two similar figures tell you about the given measurement perimeters?

Perimeter will scale by the same factor. Area of the new figure, however is the original figures area multiplied by the scale factor squared. .


How do changes in dimensions of similar geometric figures affect the perimeters and areas of the figure?

First you have to go on stop being a fat kid


Is it true that the greater the perimeter the greater the area?

No, in general that is not true. For two similar figures it is true. But you can easily design two different figures that have the same perimeters and different areas, or the same area and different perimeters. For example, two rectangles with a different length-to-width ratio.


If the ratio of the side lengths of two similar polygons is 31 what is the ratio of the perimeters?

Their perimeters are in the same ratio.


What is the difference between similar figures and congruent figures?

similar figures have the same shape but not the same lengths, while congruent shapes are the same as eachother.


What is the relationship between Eumaeus and Telemachus?

The relationship between them is similar to father and son.


Can congruent figures be similar and can similar figures be congruent?

Congruent figures are always similar. However, similar figures are only sometimes congruent.


What is the relationship between an organ and organ system is similar to the relationship between a cell and?

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