anonymous
  • anonymous
Help with geometry/rational expressions?
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
1 Attachment
anonymous
  • anonymous
1st step: What is the area of the rectangle?
anonymous
  • anonymous
\[\frac{ 1 }{ 6 }? \]

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anonymous
  • anonymous
If you cut the triangle in half, and then stack it on top of the other, and divide up the rectangle, it could be \[\frac{ 1 }{ 6 }\]
anonymous
  • anonymous
I'm just asking for the total area of the rectangle for now. The sides of the rectangle are x and x+2. So what is the area?
anonymous
  • anonymous
(x)(x + 2)
anonymous
  • anonymous
Great, now we try to find the area of the triangle. Any ideas?
anonymous
  • anonymous
(x)(2)
anonymous
  • anonymous
|dw:1367591002545:dw|
anonymous
  • anonymous
(2)(x/2)
anonymous
  • anonymous
(Two times x divided by two.)
anonymous
  • anonymous
Well that happens to be the area of the total triangle which is great! So now to get the fraction we can write\[{areaOfTriangle\over TotalArea}\]
anonymous
  • anonymous
\[{x\over(x)(x+2)}\]x's cancel.
anonymous
  • anonymous
Oh, okay.
anonymous
  • anonymous
Does that make sense? Did you understand?
anonymous
  • anonymous
I think I might. |dw:1367591373451:dw|
anonymous
  • anonymous
\[{1\over x+2}\]
anonymous
  • anonymous
The fraction for the triangle is \[\frac{ 1 }{ x + 2 }\] Yes?
anonymous
  • anonymous
That is the answer to the question, yes
anonymous
  • anonymous
For the fraction of the rectangle shaded?
anonymous
  • anonymous
yes
anonymous
  • anonymous
Thank you!

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