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Math Help - Finding the area of the shaded region.

  1. #1
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    Finding the area of the shaded region.

    Hi I'm a college student and I'm having a bit of difficulty with my Solid Mensuration homework. Can someone help me out?

    I'm trying to find the area of the shaded region in the problems which I've posted pictures of in this thread.

    I'm having a hard time because I think the data given is insufficient, but maybe I'm wrong so I'm asking for help

    Thank you very much for any help you can give
    Attached Thumbnails Attached Thumbnails Finding the area of the shaded region.-helppic.jpg  
    Last edited by purplesky828; January 1st 2011 at 12:45 PM.
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  2. #2
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    Quote Originally Posted by purplesky828 View Post
    Hi I'm a college student and I'm having a bit of difficulty with my Solid Mensuration homework. Can someone help me out?

    I've attached a picture of the problems I'm confused by.

    Thank you very much for any help you can give
    What exactly are you trying to do? Please post the whole question, not just the pictures.



    Edit: The OP has since edited his/her post.
    Last edited by mr fantastic; January 1st 2011 at 01:07 PM.
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  3. #3
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    Quote Originally Posted by purplesky828 View Post
    I'm trying to find the area of the shaded region in the problems which I've posted pictures of in this thread.
    I'm having a hard time because I think the data given is insufficient, but maybe I'm wrong so I'm asking for help
    I agree with you that technically the data is insufficient.
    However, a good guess on #1 would be (85)(42.5)-\dfrac{(42.5)^2}{2}.

    Do you see why?
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  4. #4
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    Quote Originally Posted by Plato View Post
    I agree with you that technically the data is insufficient.
    However, a good guess on #1 would be (85)(42.5)-\dfrac{(42.5)^2}{2}.

    Do you see why?
    Yes I see how it would be a good guess. I was thinking of the same thing but I was unsure because the data wasn't given.

    Thank you very much for your help!
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  5. #5
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    Quote Originally Posted by purplesky828 View Post
    Hi I'm a college student and I'm having a bit of difficulty with my Solid Mensuration homework. Can someone help me out?

    I'm trying to find the area of the shaded region in the problems which I've posted pictures of in this thread.

    I'm having a hard time because I think the data given is insufficient, but maybe I'm wrong so I'm asking for help

    Thank you very much for any help you can give
    To #2:

    1. I assume that the white rectangle has a width of 1 m.

    2. I've modified your sketch alittle bit. If the triangles marked in red are isosceles right triangles you can compose them to a complete square.
    Attached Thumbnails Attached Thumbnails Finding the area of the shaded region.-zusammgesflaeche.png  
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