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Math Help - Help find the area of a diamond.

  1. #1
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    Help find the area of a diamond.

    for a) i get kn/2
    for b) BF=3n/4k +n/4
    CG=-4n/3k+n

    for c) i get k=25/9
    Attached Thumbnails Attached Thumbnails Help find the area of a diamond.-scan0001.jpg  
    Last edited by mr fantastic; June 29th 2011 at 02:44 AM. Reason: Title.
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  2. #2
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    Re: Help find the area of IJKL, please see image in thread!

    Quote Originally Posted by gman111 View Post
    for a) i get kn/2
    for b) BF=3n/4k +n/4
    CG=-4n/3k+n

    for c) i get k=25/9
    1. Let |\overline{DA}|=k~\implies~|\overline{DG}|=\frac34 k

    |\overline{CD}|=n~\implies~|\overline{CF}|=\frac34 n

    Then you know: k \cdot n = 600

    2. Area of triangle \Delta(CDG) is calculated by

    a_{\Delta(CDG)}= \frac12 \cdot |\overline{DG}| \cdot n = \frac12 \cdot \frac34 k \cdot n = \frac38 \cdot k \cdot n = 225

    3. The equations of the lines are OK. Determine the coordinates of the point of intersection, which is J:

    \frac34 \cdot \frac nk + \frac n4 = -\frac43 \cdot \frac nk + n

    Now replace k = \frac{600}n and solve for n.

    4. I'll leave the rest for you.
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