```Question 552375
<br><font face="Tahoma">There are a couple different ways to do this.<br>

One, you can divide the triangle up into 2 right triangles to more easily use the standard area of a triangle formula.<br>

Of course we know that formula to be:<br>

{{{A=(1/2)*b*h}}} where b is the base and h is the height.<br>

Or two, you can use the formula for the area of an equilateral triangle!<br>

This formula is:<br>

{{{A=(sqrt(3)/4)*a^2}}} where a is the length of a side of the triangle.<br>

Since the perimeter of your triangle is 36 m,<br>

then each side must measure 36/3, or 12 m.<br>

So we just need to plug this value of a=12 into the formula:<br>

{{{A=(sqrt(3)/4)*a^2}}}<br>

{{{A=(sqrt(3)/4)*12^2}}}<br>

{{{A=(sqrt(3)/4)*144}}}<br>

{{{A=sqrt(3)*36}}}<br>

{{{A=36*sqrt(3)}}} meters squared which is the exact answer.<br>

You can use a calculator to find the approximate decimal equivalent,<br>

but that is up to you to decide whether you need that.<br>

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I hope this helps!  :)<br>

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or to inquire about mathematics tutoring via email or other methods.<br>

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