Answer
The area of a triangle is approximately $22$ square meters.
Work Step by Step
The area of a triangle is calculated using Heron's formula where $s$ is equal to half the perimeter of the triangle. Area of the triangle $\begin{align}
& A=\sqrt{s\left( s-a \right)\left( s-b \right)\left( s-c \right)} \\
& \\
\end{align}$
where
$\begin{align}
& s=\frac{1}{2}\left( a+b+c \right) \\
& s=\frac{1}{2}\left( 14+12+4 \right)=15 \\
\end{align}$
By substituting the values of s and a, b, c we get,
$\begin{align}
& A=\sqrt{15\left( 15-14 \right)\left( 15-12 \right)\left( 15-4 \right)} \\
& A=\sqrt{495}\simeq 22 \\
\end{align}$
