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.

Algebra ->  Polygons -> 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.      Log On


   

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

From similarity, you have this proportion

    64%2F100 = x%5E2%2F36%5E2


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


Take the square root of two sides

    8%2F10 = x%2F36.


From this proportion

    x = %288%2A36%29%2F10 = 288%2F10 = 28.8 units.    ANSWER

Solved.



Answer by Alan3354(69443) About Me  (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.
------------------
"RESPECTIVELY" is misused, not needed, and superfluous.