Question 274817: If the areas of two similar decagons are 625 sq. ft. and 100 sq. ft., what is the ratio of the perimeters of the decagons
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! If the areas of two similar decagons are 625 sq. ft. and 100 sq. ft., what is the ratio of the perimeters of the decagons
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Area is a function of the square of the linear dimensions, ie, side length. Multiplying the length of sides times n multiplies the are by n^2.
625/100 = 6.25 = ratio of the areas
sides ratio = sqrt(6.25) = 2.5
Perimeter is a 1:1 ratio with side length, so
2.5 is the answer
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The number of sides is not relevant.
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