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The sides of a triangular plot are in the ratio 5 \(:\) 7 \(:\) 8 and its perimeter is 240 \(m^2\). Find the area of the triangular plot. (Use \(\sqrt{3} = 1.73\))
 
Area of the triangular plot \(=\)  \(m^2\).
 
[Note: Round off your answer to two decimal places.]