## anonymous 3 years ago A polygon has an area of 100 square inches and one of its sides is 20 inches long. If a second similar polygon has an area of 36 square inches, what is the length of the corresponding side in the second polygon? 5 in 8 2/3 in 12 in 33 1/3 in

1. anonymous

@erdog82

2. anonymous

ok so, I believe you need to st up a proportion

3. anonymous

4. anonymous

ok I am trying to..

5. anonymous

so you know the areas of each polygon, right?

6. anonymous

36?

7. anonymous

and what?

8. anonymous

100?

9. anonymous

yes, good :)

10. anonymous

so what now ?

11. anonymous

|dw:1358803903084:dw|

12. anonymous

solve for x

13. anonymous

14. Mertsj

Not one of the choices.

15. anonymous

16. anonymous

did you see the drawing?

17. anonymous

?

18. anonymous

yes i saw it..

19. anonymous

try solving for x

20. anonymous

100x = 36*20?

21. anonymous

yup.

22. anonymous

720 = 100x

23. anonymous

then i divided and i got 7.2 but thats not one of the option choices..

24. anonymous

|dw:1358804299965:dw|

25. anonymous

oh yeah, what the heck?

26. Mertsj

Sorry but the ratio of the sides squared would be the ratio of the areas. And so the square root of the ratio of the areas would be the ratio of the sides.

27. anonymous

huh?

28. Mertsj

So if the ratio of the areas is 36/100, the ratio of the sides is 6/10

29. anonymous

7.2 is not an option for the answer.. answer options r .. 5 in. 8 2/3 in 12 in and 33 1/3 in

30. anonymous

@Mertsj you can help @rebecca1233 now... I guess you are better at this than I am

31. Mertsj

6/10=x/20 Solve that if you want the answer.

32. anonymous

so 6x= 10*20?

33. anonymous

help me ?

34. anonymous

hello @Mertsj

35. Mertsj

$\frac{6}{10}=\frac{x}{20}$

36. Mertsj

Can you solve that proportion?

37. anonymous

so 6 *20

38. anonymous

hen divie by 1 which gives u 12

39. anonymous

12 in is correct answer right?

40. Mertsj

yes

41. anonymous

i need help with another problem please

42. Mertsj