SOLUTION: Two similar polygons have the scale factor 5:2. The area of the polygon is 100. Find the area of the smaller polygon.

Algebra ->  Algebra  -> Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: Two similar polygons have the scale factor 5:2. The area of the polygon is 100. Find the area of the smaller polygon.       Log On

Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   

Question 107329: Two similar polygons have the scale factor 5:2. The area of the polygon is 100. Find the area of the smaller polygon.
Answer by BurningFlame_marc(77) About Me  (Show Source):
You can put this solution on YOUR website!
Hello!
Let's say that x is the smaller polygon, it says that the scale is 5:2. Then we can say that 5%3A2=100%3Ax. For this propotion you can say that 5%28y%29=100 and 2%28y%29=x. To find y you should divide 100 by 5, the result is 20. 20 is y so that means 2(20) is x. 2(20)=40. That means that x is 40.

The smaller polygon has the area of 40.



I hoped I helped you!