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ValentinaT

  • 3 years ago

Help with geometry/rational expressions?

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  1. ValentinaT
    • 3 years ago
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  2. hea
    • 3 years ago
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    1st step: What is the area of the rectangle?

  3. ValentinaT
    • 3 years ago
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    \[\frac{ 1 }{ 6 }? \]

  4. ValentinaT
    • 3 years ago
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    If you cut the triangle in half, and then stack it on top of the other, and divide up the rectangle, it could be \[\frac{ 1 }{ 6 }\]

  5. hea
    • 3 years ago
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    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?

  6. ValentinaT
    • 3 years ago
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    (x)(x + 2)

  7. hea
    • 3 years ago
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    Great, now we try to find the area of the triangle. Any ideas?

  8. ValentinaT
    • 3 years ago
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    (x)(2)

  9. hea
    • 3 years ago
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    |dw:1367591002545:dw|

  10. ValentinaT
    • 3 years ago
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    (2)(x/2)

  11. ValentinaT
    • 3 years ago
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    (Two times x divided by two.)

  12. hea
    • 3 years ago
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    Well that happens to be the area of the total triangle which is great! So now to get the fraction we can write\[{areaOfTriangle\over TotalArea}\]

  13. hea
    • 3 years ago
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    \[{x\over(x)(x+2)}\]x's cancel.

  14. ValentinaT
    • 3 years ago
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    Oh, okay.

  15. hea
    • 3 years ago
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    Does that make sense? Did you understand?

  16. ValentinaT
    • 3 years ago
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    I think I might. |dw:1367591373451:dw|

  17. hea
    • 3 years ago
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    \[{1\over x+2}\]

  18. ValentinaT
    • 3 years ago
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    The fraction for the triangle is \[\frac{ 1 }{ x + 2 }\] Yes?

  19. hea
    • 3 years ago
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    That is the answer to the question, yes

  20. ValentinaT
    • 3 years ago
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    For the fraction of the rectangle shaded?

  21. hea
    • 3 years ago
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    yes

  22. ValentinaT
    • 3 years ago
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    Thank you!

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