# Math Help - Forming functions from Verbal Descriptions

1. ## Forming functions from Verbal Descriptions

How do I do this problem?
Express the area A of an equilateral triangle as a function of the perimeter P.

2. here's a place to start ...

what is the area of an equilateral triangle in terms of one of its sides, "s" ?

3. ## Found area equation

It's (s²√3)/(4), I looked it up, but how does one get there?

4. well, what's the relationship between a side, "s", and the perimeter, "P" ?

5. P=3S,
Since an equilateral triangle has equal S's, would I just put a 3 next to the S, making the final answer,
(3s²√3)/(8)

6. no ... $s = \frac{P}{3}$

substitute that in for "s" in your original area equation

7. ok...would that mean the answer is ((p²/9)√3)/(4)?

8. I think I got it, thanks...the answer is...
((p²√3)/(36)

9. clean it up ...

$A = \frac{P^2 \sqrt{3}}{36}$