Given, sides of a triangle are 96m,110m and 146m, respectively. Since, (96)2+(110)2=(146)2 ∴ It proves Pythagoras theorem and it is a right angle triangle with hypotenuse 146m. Let the sides of reactangle be 3xm and 2xm, respectively. According to the question, Area of rectangle = Area of triangle 3x×2x=
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×96×110=5280 ⇒x2=880 ⇒x=√880=4√55m ∴ Perimeter of the rectangular park =2(3x+2x) =2×5x=10x =10×4√55 =40√55m