Answer
The function for the area of this equilateral triangle is:
$A(x)$ = $\frac{1}{2}x^{2}$
Work Step by Step
An equilateral triangle is one in which all of its sides have the same length.
In this problem, we know, then, that each side has a length of $x$.
The formula for the area of a triangle is:
A = $\frac{1}{2}bh$
For this problem, we can then set up the following equation to find the area of the triangle:
$A(x)$ = $\frac{1}{2}(x)(x)$
We simplify to get a function for the area of this equilateral triangle:
$A(x)$ = $\frac{1}{2}x^{2}$
