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anonymous

  • 4 years ago

Perimeter is 55 cm, find length of each side....

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  1. anonymous
    • 4 years ago
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    What shape?

  2. anonymous
    • 4 years ago
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    |dw:1328492778360:dw|

  3. anonymous
    • 4 years ago
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    rectange....trapezoid...?

  4. anonymous
    • 4 years ago
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    top: x+3 right: x^2-3x left: x+7 bottom: 3x-3

  5. anonymous
    • 4 years ago
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    quadralateral

  6. anonymous
    • 4 years ago
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    Okay! Perimeter is defined by all of the sides added together, right?

  7. anonymous
    • 4 years ago
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    I think so

  8. anonymous
    • 4 years ago
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    So: \[55=(x+3)+(x^2-3)+(x+7)+(3x-3)\] 55, the perimeter is equal to all of the sides added together! We can combine like terms...

  9. anonymous
    • 4 years ago
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    So then you have \[55=x^2+5x+4\] I think.

  10. anonymous
    • 4 years ago
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    Can you solve for x?

  11. anonymous
    • 4 years ago
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    Oh no! I made a mistake. one moment.

  12. anonymous
    • 4 years ago
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    55=(x+3)+(x2−3x)+(x+7)+(3x−3)

  13. anonymous
    • 4 years ago
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    Which is then: x^2+2x+7

  14. anonymous
    • 4 years ago
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    Set it equal to 55 and solve.

  15. anonymous
    • 4 years ago
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    It says i need more than one answer, one for each side

  16. anonymous
    • 4 years ago
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    Each side of what?

  17. anonymous
    • 4 years ago
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    the quad

  18. anonymous
    • 4 years ago
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    Well if you solve for x, then you put x back into the equation for each side. Does that make sense?

  19. anonymous
    • 4 years ago
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    what is x? then i take that and put in each different equation?

  20. anonymous
    • 4 years ago
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    Yes. I can help you solve for x.

  21. anonymous
    • 4 years ago
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    ok thank you

  22. anonymous
    • 4 years ago
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    So, you have 55=(x+3)+(x^2−3x)+(x+7)+(3x−3). This simplifies when you combine like terms to 55=x^2+2x+7. Can you solve it from that point by factoring or do you need more help?

  23. anonymous
    • 4 years ago
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    I dont know, what do i do with 55? i can only solve the other side

  24. anonymous
    • 4 years ago
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    Well, we can set the expression equal to zero: Move the 55 over to the right. So now, we have 0=x^2+2x-48. Do you see how I got that? Next, try to factor this; it works out nicely. Should give you two answers.

  25. anonymous
    • 4 years ago
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    Yes, and ill solve that, be right back :)

  26. anonymous
    • 4 years ago
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    Good :)

  27. anonymous
    • 4 years ago
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    6 and -8?

  28. anonymous
    • 4 years ago
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    Yes! Okay, so we're talking about distance here. can we have a negative distance? Which solution do you think we should use?

  29. anonymous
    • 4 years ago
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    6

  30. anonymous
    • 4 years ago
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    Yes. So, what are your dimensions if you plug in x=6?

  31. anonymous
    • 4 years ago
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    i got 9, 13, 15, and 18 total, are these correct?

  32. anonymous
    • 4 years ago
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    That's what I got! Good work!

  33. anonymous
    • 4 years ago
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    :D thanks

  34. anonymous
    • 4 years ago
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    :D You're very welcome. Have a good night.

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