Help with geometry/rational expressions?

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Help with geometry/rational expressions?

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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1 Attachment
1st step: What is the area of the rectangle?
\[\frac{ 1 }{ 6 }? \]

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Other answers:

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

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