anonymous
  • anonymous
Perimeter is 55 cm, find length of each side....
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
What shape?
anonymous
  • anonymous
|dw:1328492778360:dw|
anonymous
  • anonymous
rectange....trapezoid...?

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More answers

anonymous
  • anonymous
top: x+3 right: x^2-3x left: x+7 bottom: 3x-3
anonymous
  • anonymous
quadralateral
anonymous
  • anonymous
Okay! Perimeter is defined by all of the sides added together, right?
anonymous
  • anonymous
I think so
anonymous
  • anonymous
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...
anonymous
  • anonymous
So then you have \[55=x^2+5x+4\] I think.
anonymous
  • anonymous
Can you solve for x?
anonymous
  • anonymous
Oh no! I made a mistake. one moment.
anonymous
  • anonymous
55=(x+3)+(x2−3x)+(x+7)+(3x−3)
anonymous
  • anonymous
Which is then: x^2+2x+7
anonymous
  • anonymous
Set it equal to 55 and solve.
anonymous
  • anonymous
It says i need more than one answer, one for each side
anonymous
  • anonymous
Each side of what?
anonymous
  • anonymous
the quad
anonymous
  • anonymous
Well if you solve for x, then you put x back into the equation for each side. Does that make sense?
anonymous
  • anonymous
what is x? then i take that and put in each different equation?
anonymous
  • anonymous
Yes. I can help you solve for x.
anonymous
  • anonymous
ok thank you
anonymous
  • anonymous
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?
anonymous
  • anonymous
I dont know, what do i do with 55? i can only solve the other side
anonymous
  • anonymous
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.
anonymous
  • anonymous
Yes, and ill solve that, be right back :)
anonymous
  • anonymous
Good :)
anonymous
  • anonymous
6 and -8?
anonymous
  • anonymous
Yes! Okay, so we're talking about distance here. can we have a negative distance? Which solution do you think we should use?
anonymous
  • anonymous
6
anonymous
  • anonymous
Yes. So, what are your dimensions if you plug in x=6?
anonymous
  • anonymous
i got 9, 13, 15, and 18 total, are these correct?
anonymous
  • anonymous
That's what I got! Good work!
anonymous
  • anonymous
:D thanks
anonymous
  • anonymous
:D You're very welcome. Have a good night.

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