# Homework Help: Pre Calculus Homework Problem Help!

1. Sep 21, 2007

### shawonna23

[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

x=.40(6-x)

3. The attempt at a solution

x=1.71
1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

#### Attached Files:

• ###### pre-cal homework problem.jpg
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2. Sep 21, 2007

### fikus

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.

3. Sep 21, 2007

### shawonna23

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?

4. Sep 21, 2007

### Kurdt

Staff Emeritus
It looks fine. The important thing is to realise where the areas came from.

5. Sep 21, 2007

### shawonna23

Thanks for the help!