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Two boards, one four inches wide and the other six inches wide, are nailed together to form an X. The angle at which they cross is 60 degrees. If this structure is painted and the boards are separated what is the area of the unpainted region on the four-inch board? Express your answer in simplest radical form. We can ignore the holes from the nails

 

 Feb 11, 2021
 #1
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The area of the unpainted region is 40*sqrt(5).

 Feb 11, 2021
 #2
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could you please show me the steps so I understand how to solve. Thanks

 Feb 12, 2021
 #3
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The picture is blocked which suggests to me that the image is copyrighted.

Do you have the right to post this question geo?  Where does it come from?

 Feb 12, 2021
edited by Melody  Feb 12, 2021
 #4
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I believe it was a mathcounts question. It was on a alcumus quiz and I got the answer wrong.

 Feb 13, 2021
 #5
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ok.

Be careful what you post. It is important not to break copyright laws or any rules you have agreed to for your learning institution.

Melody  Feb 13, 2021

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