Answer
$$A \approx 12,600{\text{c}}{{\text{m}}^2}$$
Work Step by Step
$$\eqalign{
& a = 154{\text{cm}},\,\,\,b = 179{\text{cm,}}\,\,\,c = 183{\text{cm}} \cr
& {\text{First}},{\text{ find the semiperimeter }}s \cr
& s = \frac{1}{2}\left( {a + b + c} \right) \cr
& s = \frac{1}{2}\left( {154 + 179 + 183} \right) \cr
& s = 258 \cr
& \cr
& {\text{Now use Heron's formula to find the area }}A \cr
& A = \sqrt {s\left( {s - a} \right)\left( {s - b} \right)\left( {s - c} \right)} \cr
& A = \sqrt {258\left( {258 - 154} \right)\left( {258 - 179} \right)\left( {258 - 183} \right)} \cr
& {\text{Use a calculator}} \cr
& A \approx 12,600{\text{c}}{{\text{m}}^2} \cr} $$