## anonymous one year ago The length of a rectangle is 2 more than 3 times the width. If the perimeter is 100 meters, what is the width of the rectangle?

1. anonymous

8==============>V

2. anonymous

first time on here

3. freckles

We are given L and W are the dimensions of the rectangle where L stands for length of the rectangle and W stands for width of the rectangle. We are also given by the first sentence that L is 2+3W or L=2+3W We are also given the the sum of the sides equals 100 meters->can you write this as a mathematical equation?

4. anonymous

i am not that good at algebra

5. anonymous

i can't make that many equations

6. freckles

sum means add can you write an equation expressing the sum of the sides=100 meters

7. freckles

there are 4 sides in a rectangle

8. freckles

opposite sides are equal

9. freckles

|dw:1434468984467:dw|

10. freckles

can you write the mathematical equation now?

11. freckles

for the sum of the sides is 100 meter?

12. anonymous

L=2+3w/100?

13. freckles

do you know what sum of the sides of the rectangle means?

14. freckles

Do you see the side measurements in the rectangle above that I drew?

15. anonymous

yes

16. freckles

L+W+L+W <---this is suppose to be 100 L+W+L+W is the perimeter of the rectangle (this is just the sum of all the sides) L+W+L+W=100 combine like terms on the left hand side.

17. freckles

then sub in the other equation I gave you

18. anonymous

oh ok. ... ... 2L+2w=100 L=2+3w

19. freckles

yes sub the equation equation you have written there into the first

20. anonymous

... ... 3L+6w=100?

21. anonymous

no

22. anonymous

4L+6w=100

23. freckles

in the second equation do you see that L is (2+3w) replace the first L you wrote with (2+3w)

24. freckles

|dw:1434469623999:dw|

25. freckles

you will be able to solve for w and then you will use L=2+3w to find L after you have w

26. anonymous

|dw:1434469621254:dw|

27. anonymous

ran out of room

28. anonymous

2(2+3w)=100

29. freckles

why did you omit part of the equation though?

30. freckles

|dw:1434469813903:dw|

31. anonymous

2L(2+3w)=100?

32. anonymous

oh ok

33. anonymous

2(2+3w)+2w=100

34. freckles

yep solve that for w

35. anonymous

ok

36. anonymous

14w=100?

37. freckles

do you know what distribute property is? a(b+c) can be written as a*b+a*c

38. freckles

distribute the 2 in front of the (2+3w)

39. freckles

then you can combine any like terms

40. anonymous

|dw:1434470059174:dw|?

41. anonymous

right?

42. freckles

you need to apply the distributive property there

43. anonymous

... |dw:1434470382871:dw|

44. freckles

6w+2w isn't 12w and 4 doesn't disappear

45. freckles

you have 4+8w=100 since 4 doesn't disappear and 6w+2w=8w

46. anonymous

sorry

47. anonymous

so...

48. anonymous

4+8w=100

49. freckles

you need to isolate w

50. anonymous

you mean cancle out 8?

51. freckles

I mean get w by itself

52. freckles

you are going to do to subtract both sides by a number to first isolate 8w then you will need to divide both sides by a number to isolate finally the w part

53. anonymous

|dw:1434470715185:dw|?

54. freckles

you could do that except it wouldn't isolate the 8w part

55. anonymous

i know

56. freckles

why not try to subtract 4 on both sides?

57. anonymous

oh ok

58. anonymous

8w=96

59. freckles

ok can you finish from there?

60. anonymous

...

61. anonymous

maybe

62. freckles

what are you going to do to both sides?

63. anonymous

divide

64. freckles

by what number?

65. anonymous

8

66. freckles

cool

67. anonymous

l=12

68. freckles

:( why did you change w to l?

69. anonymous

W=12

70. freckles

"The length of a rectangle is 2 more than 3 times the width. If the perimeter is 100 meters, what is the width of the rectangle? " This was the question you posted. Do you think you are done? (hint: don't forget the unit part of your answer)

71. anonymous

L=38?

72. freckles

well your question only asked to find the width which you sort of already did you just need the units part but if you wanted to find length (and here you will also need to put the units): but L=2+3w where we found w to be 12 so L=2+3(12)=2+38 L=38

73. freckles

do you remember what units were used in the question?

74. anonymous

:)

75. freckles

actually I put 38 instead od 36 and 2+36=38

76. freckles

77. anonymous

ok

78. anonymous

thx you're the best

79. freckles

np continue working on more examples

80. freckles

are even extra problems

81. anonymous

ok

82. freckles

or*

83. freckles

have a nice day

84. anonymous

you too