## anonymous one year ago FAN AND MEDAL!! Find the value of x so that the rectangles have the same area.

1. anonymous

|dw:1442538186565:dw|

2. anonymous

@Hero , @Here_to_Help15 , @nincompoop , @satellite73 , @Tazmaniadevil

3. anonymous

@Astrophysics

4. anonymous

@dm91

5. anonymous

anybody there

6. sidmanfu

7. anonymous

ok

8. anonymous

@mathmate , @Hero , @HaileyD

9. anonymous

@emily_wilson

10. sidmanfu

;)

11. anonymous

i tried but its so confusing i dunno where to start

12. mathmate

13. anonymous

i still dont understand

14. mathmate

If the rectangles have the same area, then L1*W1=L2*W2 Substitute the numbers from the figure and solve for x.

15. anonymous

ok and how do i solve for x

16. anonymous

@dan815

17. anonymous

anybody there

18. anonymous

@mathmate where did u go

19. sidmanfu

hes still there lol XD

20. anonymous

it seems like hes frozen

21. anonymous

anybody help

22. dm91

ok sorry went offline for a bit what do you need help with?

23. mathmate

I suggest you formulate the equation before trying to solve it. So could you substitute values L1, W1, L2, W2 and form an equation?

24. anonymous

how do u do that

25. dm91

or L*W*H

26. mathmate

There is no height, so L1*W1=L2*W2, we're calculating areas.

27. anonymous

ok?

28. mathmate

So can you formulate the equation? The values to be substituted is in the diagram.

29. mathmate

*are

30. anonymous

i know but what do i substitute with

31. Jhannybean

$L_1=~? \\ L_2=~? \\ W_1=~? \\ W_2=~? \\$

32. Jhannybean

Find those, then use this formula he gave you. $$\color{#0cbb34}{\text{Originally Posted by}}$$ @mathmate There is no height, so $$\color{red}{L1*W1=L2*W2}$$ , we're calculating areas. $$\color{#0cbb34}{\text{End of Quote}}$$

33. anonymous

ok

34. anonymous

@@phi

35. anonymous

@phi

36. anonymous

im really confused this is is not going to get me anywhere. how do we do that?

37. dm91

i ahve one person that can explain it better @steve816

38. phi

How far did you get ?

39. dan815

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40. anonymous

i didnt know where to start i was completely confused

41. dan815

42. phi

Do you understand area is length times width ?

43. anonymous

yes

44. phi

do you know the width and length of your first rectangle (on the left side) ?

45. anonymous

yes w=9, l=x-4

46. phi

ok. now multiply them to get area to multiply put parens around (x-4) and just write it as 9(x-4) that is algebra short-hand for 9 times (x-4) ok so far?

47. anonymous

YES! I THINK I GET IT! Just wait so that I can solve it.

48. phi

can you do the same thing for the other triangle ?

49. anonymous

u mean rectangle

50. phi

oops, yes rectangle

51. anonymous

ok ill try just wait but pls dont leave

52. anonymous

is x=25??

53. anonymous

@phi am i right

54. anonymous

im sorry for being late i was confused again at first

55. anonymous

@phi are u even there

56. anonymous

ok i believe thats right because both rectangles have the same area with that value

57. phi

yes x=25 how did you get it ?

58. anonymous

i first used the distributive property to simplify, then used inverse subtraction, then inverse addition, then inverse division and then TADAA! I got my answer! YAY!

59. anonymous

thanks for all the help @phi and @mathmate

60. phi

yw

61. anonymous

u guys r the best

62. anonymous

bye