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Homework Help: Pre Calculus Homework Problem Help!

  1. Sep 21, 2007 #1
    [SOLVED] Pre Calculus Homework Problem...Help!

    1. The problem statement, all variables and given/known data

    A quadrilateral has two pairs of congruent sides and a longer diagonal of length of 6, as shown. For what value of x will the area of the shaded region be 40% of the area of the unshaded region?

    2. Relevant equations


    3. The attempt at a solution

    1. The problem statement, all variables and given/known data

    2. Relevant equations

    3. The attempt at a solution

    Attached Files:

  2. jcsd
  3. Sep 21, 2007 #2
    the area of shaded region is S1 = x*a and of unshaded S2 = (6-x)a. You also know that S1/S2 = 0.4 . Now just solve the equation for x.
  4. Sep 21, 2007 #3
    Pre Cal Hwk Problem: Answer

    x(a)/(6-x)(a)= 0.4
    The a's cancel out...so that leaves me with: x/(6-x)=0.4 x=2.4/1.4 x=1.71

    Is my work correct?
  5. Sep 21, 2007 #4


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    Gold Member

    It looks fine. The important thing is to realise where the areas came from.
  6. Sep 21, 2007 #5
    Thanks for the help!
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