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

- anonymous

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

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- anonymous

What shape?

- anonymous

|dw:1328492778360:dw|

- anonymous

rectange....trapezoid...?

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## More answers

- anonymous

top: x+3 right: x^2-3x left: x+7 bottom: 3x-3

- anonymous

quadralateral

- anonymous

Okay! Perimeter is defined by all of the sides added together, right?

- anonymous

I think so

- 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

So then you have \[55=x^2+5x+4\] I think.

- anonymous

Can you solve for x?

- anonymous

Oh no! I made a mistake. one moment.

- anonymous

55=(x+3)+(x2−3x)+(x+7)+(3x−3)

- anonymous

Which is then: x^2+2x+7

- anonymous

Set it equal to 55 and solve.

- anonymous

It says i need more than one answer, one for each side

- anonymous

Each side of what?

- anonymous

the quad

- anonymous

Well if you solve for x, then you put x back into the equation for each side. Does that make sense?

- anonymous

what is x? then i take that and put in each different equation?

- anonymous

Yes. I can help you solve for x.

- anonymous

ok thank you

- 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

I dont know, what do i do with 55? i can only solve the other side

- 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

Yes, and ill solve that, be right back :)

- anonymous

Good :)

- anonymous

6 and -8?

- 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

6

- anonymous

Yes. So, what are your dimensions if you plug in x=6?

- anonymous

i got 9, 13, 15, and 18 total, are these correct?

- anonymous

That's what I got! Good work!

- anonymous

:D thanks

- anonymous

:D You're very welcome. Have a good night.

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