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Math Help - Area

  1. #1
    Newbie
    Joined
    Feb 2009
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    Arrow Area

    Hi

    Can you please help me solve this question?

    Let P be a point inside a square such that its distance, in centimetres, from three of the vertices of the square is as shown.

    The area, in the square centimetres, of the square must be.

    (A) 17 (B) 4 x Squareroot 19 (C) 16.81 (D) 20.25 (E) 4 x Squareoot 17



    Thanks
    Last edited by mr fantastic; April 25th 2009 at 04:58 AM.
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  2. #2
    Member arpitagarwal82's Avatar
    Joined
    Feb 2009
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    103
    Refer to fig.
    let side of square be x

    4^2 - y^2 = 1^1 - (x - y)^2<br />
--------eq1
    and

    4^2 - z^2 = 5^2 - (x - z)^2 -----------eq2

    and
    y^2 + z^2 = 4^2 ---------------eq3



    Now we have to solve for  x^2

    The equations looks complex, but easy to solve.
    remember we have to find x^2 not x. This makes the things easy.
    solve for y and z from eq1 and eq2 and replace them in eq3. then assume x^2 as t.
    Solve for t.
    Let me know iof you have an issue in solving it.
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  3. #3
    Newbie
    Joined
    Feb 2009
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    Lol

    I can't do the equations. Please explain
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