Ratio of Areas

greatwhiteshark

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May 8, 2005
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The ratio of the lengths of corresponding sides of two similar polygons is
3:7. What is the ratio of their areas?
 
Hello, Janet!

The ratio of the lengths of corresponding sides of two similar polygons is 3:7.
What is the ratio of their areas?
The ratio of the areas is the <u>squares</u> of the sides.

The answer is .3<sup>2</sup>:7<sup>2</sup> .= .9:49


If these were similiar solids (say, pyramids),
. . their volumes are in the ratio of the <u>cubes</u> of the sides.

The ratio of the volumes would be . 3<sup>3</sup>:7<sup>3</sup> .= .27:343
 
WOW!

Soroban,

I learned something NEW from you today about squares and cubes.
Thank you so much for the great hint.
 
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