Perimeter of triangle =150m (given)Let the sides of triangle be,a, b and c, On dividing 150 m in the ratio 5:12:13, we geta=5xcmb=12xcmc=13xcmwe know that, perimeter of a triangle = Sum of all sides =a+b+c150=5x+12x+13x150=30xx=5Sides are:a=5x=25cmb=12x=60cmc=13x=65cmNow,Let a, b and c be the sides of a triangle.Apply Heron's Formula of find the area of triangle.Area =S(S−a)(S−b)(S−c)​Where S=2a+b+c​S=21​(25+60+65)=75cmArea =(75(75−20)(75−60)(75−65))​         =(75×50×15×10)​         =750Area of triangle is 750cm2.