SOLUTION: The areas of two similar polygons are 64 sq. units and 100 sq. units respectively. If a side of the larger polygon is 36 units, find the corresponding side of the smaller polygon.

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Question 1198311: The areas of two similar polygons are 64 sq. units and 100 sq. units respectively. If a side of the larger
polygon is 36 units, find the corresponding side of the smaller polygon.

Found 3 solutions by josgarithmetic, ikleyn, Alan3354:
Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!

Answer by ikleyn(52803)   (Show Source): You can put this solution on YOUR website!
.

From similarity, you have this proportion

     = 


(the ratio of the areas is the same as the ratio of squared lengths of corresponding sides).


Take the square root of two sides

     = .


From this proportion

    x =  =  = 28.8 units.    ANSWER

Solved.



Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
The areas of two similar polygons are 64 sq. units and 100 sq. units respectively.
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"RESPECTIVELY" is misused, not needed, and superfluous.
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