SOLUTION: Two 5 sided polygons (pentagons)are similar. The ratio of a side of the larger pentagon to a corresponding side of a smaller pentagon is 6 to 5. What is the ratio of the area of th

Algebra ->  Finance -> SOLUTION: Two 5 sided polygons (pentagons)are similar. The ratio of a side of the larger pentagon to a corresponding side of a smaller pentagon is 6 to 5. What is the ratio of the area of th      Log On


   

Question 1151758: Two 5 sided polygons (pentagons)are similar. The ratio of a side of the larger pentagon to a corresponding side of a smaller pentagon is 6 to 5. What is the ratio of the area of the smaller polygon to the area of the larger polygon?
Found 2 solutions by ikleyn, MathLover1:
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

For similar figures in a plane, the ratio of areas is equal to the square of the ratio of their corresponding linear dimensions.


So, for this problem, the ratio of areas is  %286%2F5%29%5E2 = 36%2F25.       ANSWER

Solved.


Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

The ratio of a side of the larger pentagon to a corresponding side of a smaller+pentagon is 6%2F+5.
the ratio of the area of the larger+ polygon to the area of the smaller polygon is %286%2F+5%29%5E2=36%2F25
then, the ratio of the area of the smaller polygon to the area of the larger polygon is 25%2F36