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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?

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  1. anonymous
    • one year ago
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    8==============>V

  2. anonymous
    • one year ago
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    first time on here

  3. freckles
    • one year ago
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    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
    • one year ago
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    i am not that good at algebra

  5. anonymous
    • one year ago
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    i can't make that many equations

  6. freckles
    • one year ago
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    sum means add can you write an equation expressing the sum of the sides=100 meters

  7. freckles
    • one year ago
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    there are 4 sides in a rectangle

  8. freckles
    • one year ago
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    opposite sides are equal

  9. freckles
    • one year ago
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    |dw:1434468984467:dw|

  10. freckles
    • one year ago
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    can you write the mathematical equation now?

  11. freckles
    • one year ago
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    for the sum of the sides is 100 meter?

  12. anonymous
    • one year ago
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    L=2+3w/100?

  13. freckles
    • one year ago
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    do you know what sum of the sides of the rectangle means?

  14. freckles
    • one year ago
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    Do you see the side measurements in the rectangle above that I drew?

  15. anonymous
    • one year ago
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    yes

  16. freckles
    • one year ago
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    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
    • one year ago
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    then sub in the other equation I gave you

  18. anonymous
    • one year ago
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    oh ok. ... ... 2L+2w=100 L=2+3w

  19. freckles
    • one year ago
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    yes sub the equation equation you have written there into the first

  20. anonymous
    • one year ago
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    ... ... 3L+6w=100?

  21. anonymous
    • one year ago
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    no

  22. anonymous
    • one year ago
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    4L+6w=100

  23. freckles
    • one year ago
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    in the second equation do you see that L is (2+3w) replace the first L you wrote with (2+3w)

  24. freckles
    • one year ago
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    |dw:1434469623999:dw|

  25. freckles
    • one year ago
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    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
    • one year ago
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    |dw:1434469621254:dw|

  27. anonymous
    • one year ago
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    ran out of room

  28. anonymous
    • one year ago
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    2(2+3w)=100

  29. freckles
    • one year ago
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    why did you omit part of the equation though?

  30. freckles
    • one year ago
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    |dw:1434469813903:dw|

  31. anonymous
    • one year ago
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    2L(2+3w)=100?

  32. anonymous
    • one year ago
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    oh ok

  33. anonymous
    • one year ago
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    2(2+3w)+2w=100

  34. freckles
    • one year ago
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    yep solve that for w

  35. anonymous
    • one year ago
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    ok

  36. anonymous
    • one year ago
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    14w=100?

  37. freckles
    • one year ago
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    do you know what distribute property is? a(b+c) can be written as a*b+a*c

  38. freckles
    • one year ago
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    distribute the 2 in front of the (2+3w)

  39. freckles
    • one year ago
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    then you can combine any like terms

  40. anonymous
    • one year ago
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    |dw:1434470059174:dw|?

  41. anonymous
    • one year ago
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    right?

  42. freckles
    • one year ago
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    you need to apply the distributive property there

  43. anonymous
    • one year ago
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    ... |dw:1434470382871:dw|

  44. freckles
    • one year ago
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    6w+2w isn't 12w and 4 doesn't disappear

  45. freckles
    • one year ago
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    you have 4+8w=100 since 4 doesn't disappear and 6w+2w=8w

  46. anonymous
    • one year ago
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    sorry

  47. anonymous
    • one year ago
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    so...

  48. anonymous
    • one year ago
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    4+8w=100

  49. freckles
    • one year ago
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    you need to isolate w

  50. anonymous
    • one year ago
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    you mean cancle out 8?

  51. freckles
    • one year ago
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    I mean get w by itself

  52. freckles
    • one year ago
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    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
    • one year ago
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    |dw:1434470715185:dw|?

  54. freckles
    • one year ago
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    you could do that except it wouldn't isolate the 8w part

  55. anonymous
    • one year ago
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    i know

  56. freckles
    • one year ago
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    why not try to subtract 4 on both sides?

  57. anonymous
    • one year ago
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    oh ok

  58. anonymous
    • one year ago
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    8w=96

  59. freckles
    • one year ago
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    ok can you finish from there?

  60. anonymous
    • one year ago
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    ...

  61. anonymous
    • one year ago
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    maybe

  62. freckles
    • one year ago
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    what are you going to do to both sides?

  63. anonymous
    • one year ago
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    divide

  64. freckles
    • one year ago
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    by what number?

  65. anonymous
    • one year ago
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    8

  66. freckles
    • one year ago
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    cool

  67. anonymous
    • one year ago
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    l=12

  68. freckles
    • one year ago
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    :( why did you change w to l?

  69. anonymous
    • one year ago
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    W=12

  70. freckles
    • one year ago
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    "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
    • one year ago
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    L=38?

  72. freckles
    • one year ago
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    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
    • one year ago
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    do you remember what units were used in the question?

  74. anonymous
    • one year ago
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    :)

  75. freckles
    • one year ago
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    actually I put 38 instead od 36 and 2+36=38

  76. freckles
    • one year ago
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    anyways please don't forget to put the units in your answer

  77. anonymous
    • one year ago
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    ok

  78. anonymous
    • one year ago
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    thx you're the best

  79. freckles
    • one year ago
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    np continue working on more examples

  80. freckles
    • one year ago
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    are even extra problems

  81. anonymous
    • one year ago
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    ok

  82. freckles
    • one year ago
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    or*

  83. freckles
    • one year ago
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    have a nice day

  84. anonymous
    • one year ago
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    you too

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