<PRE><B>Question 542332</B>
&lt;br&gt;&lt;font face=&quot;Tahoma&quot;&gt;The formula for the area of an equilateral triangle is:&lt;br&gt;

{{{A=(sqrt(3)/4)*l^2}}}&lt;br&gt;

In this case, our l (length of any side) is 4.  So we have:&lt;br&gt;

{{{A=(sqrt(3)/4)*4^2}}}&lt;br&gt;

{{{A=(sqrt(3)/4)*16}}}&lt;br&gt;

{{{A=4*sqrt(3)}}} which should be the simplified answer.&lt;br&gt;

Another way to solve this problem would be to cut the equilateral triangle into two right triangles.&lt;br&gt;

Then you could calculate the height of the triangle using Pythagorean&#39;s Theorem.&lt;br&gt;

After finding the height of the triangle, you could use the standard triangle area forumula:&lt;br&gt;

{{{A=(1/2)*b*h}}}&lt;br&gt;

I hope this helps!&lt;br&gt;</PRE>