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anonymous

  • one year ago

A rectangular room is three times as long as it is wide, and its perimeter is 48 meters. Find the width of the room.

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  1. anonymous
    • one year ago
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    @nincompoop

  2. Astrophysics
    • one year ago
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    Ok so reading it carefully, `rectangular room is three times as long as it is wide` that means length = 3 width, right?

  3. Astrophysics
    • one year ago
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    \[l = 3w\]

  4. Astrophysics
    • one year ago
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    |dw:1434595931914:dw|

  5. Astrophysics
    • one year ago
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    So our perimeter is \[w+3w+w+3w = 48\] would you agree, as the perimeter means the total distance of a 2d shape (add all the dimensions on a 2d shape)|dw:1434596025323:dw|

  6. Astrophysics
    • one year ago
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    Now we can solve for the width, can you do that?

  7. Astrophysics
    • one year ago
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    What do you get when you add up w+3w+w+3w?

  8. anonymous
    • one year ago
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    12

  9. Astrophysics
    • one year ago
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    What?

  10. Astrophysics
    • one year ago
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    \[w+3w+w+3w \implies 8w\] right?

  11. Astrophysics
    • one year ago
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    So we have \[8w = 48\] solve for w now.

  12. anonymous
    • one year ago
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    ahhh i saw my mistake, w=6

  13. Astrophysics
    • one year ago
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    Yes :) and now lets check if this is right.

  14. Astrophysics
    • one year ago
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    So if we have w = 6, that means length is 18 right because length = 3 * 6 = 18 and if we add it up \[6+3(6)+6+3(6) = 48 \implies 48 = 48 ~~~ \checkmark \]

  15. anonymous
    • one year ago
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    yay!

  16. anonymous
    • one year ago
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    can you help me with one more?

  17. Astrophysics
    • one year ago
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    Sure :)

  18. anonymous
    • one year ago
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  19. Astrophysics
    • one year ago
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    Well to find the slope first you want to put it in y = mx+b form (equation of a line) and your m here is the slope.

  20. Astrophysics
    • one year ago
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    |dw:1434596965637:dw|

  21. Astrophysics
    • one year ago
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    So can you please solve for y?

  22. anonymous
    • one year ago
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    -6y=-25

  23. Astrophysics
    • one year ago
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    What happened to your 5x?

  24. Astrophysics
    • one year ago
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    |dw:1434597209906:dw|

  25. Astrophysics
    • one year ago
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    |dw:1434597326967:dw|

  26. Astrophysics
    • one year ago
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    What will the slope be in \[y = 5/6 x + 19/6\]

  27. anonymous
    • one year ago
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    ok give me a sec

  28. Astrophysics
    • one year ago
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    Np just compare it with the equation of line I gave above :)

  29. anonymous
    • one year ago
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    ok im lost

  30. Astrophysics
    • one year ago
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    Well solving for y we get |dw:1434597701922:dw|

  31. anonymous
    • one year ago
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    ok slope is 5/6 and 19/6 y intercept

  32. anonymous
    • one year ago
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    thanks

  33. Astrophysics
    • one year ago
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    Yes :), and np

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