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anonymous

  • one year ago

the perimeter of the square is 208 in. Find the value of x

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  1. anonymous
    • one year ago
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    |dw:1439948377100:dw|

  2. anonymous
    • one year ago
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    all 4 sides @Vocaloid and its 7x+3

  3. Vocaloid
    • one year ago
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    hint: 4(side) = perimeter

  4. anonymous
    • one year ago
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    4+3=7?

  5. Vocaloid
    • one year ago
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    side = ?

  6. anonymous
    • one year ago
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    not getting you here?

  7. Vocaloid
    • one year ago
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    what is the length of one side? look at the diagram...

  8. anonymous
    • one year ago
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    (7x+3)in

  9. Vocaloid
    • one year ago
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    right, and perimeter = ?

  10. anonymous
    • one year ago
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    208in

  11. Vocaloid
    • one year ago
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    good, so plug side and perimeter into the equation 4*(side) = perimeter

  12. anonymous
    • one year ago
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    28+12 then =

  13. anonymous
    • one year ago
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    40

  14. Vocaloid
    • one year ago
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    not quite... you're forgetting the x

  15. Vocaloid
    • one year ago
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    4(7x+3) = ?

  16. anonymous
    • one year ago
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    40X

  17. Vocaloid
    • one year ago
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    nope, still not quite right...

  18. Vocaloid
    • one year ago
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    4(7x+3) = 4*(7x) + 4*(3) = ?

  19. anonymous
    • one year ago
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    12

  20. Vocaloid
    • one year ago
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    again, you're forgetting the x... 4*(7x) = __?

  21. anonymous
    • one year ago
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    18x

  22. anonymous
    • one year ago
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    28

  23. anonymous
    • one year ago
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    x

  24. sammixboo
    • one year ago
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    Well, since we know the perimeter is 208 inches, and one side is (7x +3) we can make an equation 208 = 4(7x+3) 208 is perimeter 4 is for all 4 sides (7x+3) is the length of one side. We gotta solve for x using this equation 208 = 4(7x+3), do you know how to do this?

  25. anonymous
    • one year ago
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    yes

  26. anonymous
    • one year ago
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    4*7=28 4*3=12 28+12=40 but that isnt it what am i doing wrong

  27. sammixboo
    • one year ago
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    Great, so our first step would be is to simplify 4(7x + 3), which is what @Vocaloid was trying to explain. Do you know what distributing is?

  28. anonymous
    • one year ago
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    yes

  29. sammixboo
    • one year ago
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    You are close, just forgetting the x. Distributing is when you take the number on the outside of the parenthesis (in this case our number is 4) and multiply it by all the numbers INSIDE the parenthesis (which is 7x and 3) So we have to multiply: 4 and 7x 4 and 3 We know that 4*3 is equal to 12, so we got that down. Now for 4*7x. We have to multiply the 4 and 7, but let's not forget about the x. After you multiplied 4 and 7, throw on the x on your answer. What is 4*7?

  30. anonymous
    • one year ago
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    28

  31. anonymous
    • one year ago
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    12

  32. sammixboo
    • one year ago
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    Right, now we add the x, so our answer for 4*7x is 28x! And we also know that: 4(7x + 3) = 28x + 12 Now let's continue on with our new equation, 208 = 28x + 12

  33. sammixboo
    • one year ago
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    Do you know what our next step is for solving 208 = 28x + 12?

  34. anonymous
    • one year ago
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    40 thats what i put up there

  35. anonymous
    • one year ago
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    208=40

  36. sammixboo
    • one year ago
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    Not quite. We have to use the order of operations and all that jazz

  37. anonymous
    • one year ago
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    ohhhhhh

  38. anonymous
    • one year ago
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    16

  39. sammixboo
    • one year ago
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    We have to subtract 12 on both sides of the equation, since we are originally adding it. We have to isolate the x on one side of the equation, and this is our first step of solving this

  40. sammixboo
    • one year ago
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    So, we have 208 - 12 = 28x + 12 - 12 208 - 12 = 28x Can you tell me what is 208 - 12?

  41. anonymous
    • one year ago
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    oh

  42. anonymous
    • one year ago
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    7

  43. anonymous
    • one year ago
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    thanks. :)

  44. sammixboo
    • one year ago
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    Ah, right :) No problem. x = 7

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