The ratio of the

Let the length of sides of a triangular park be x cm

Given, length of sides = 2x, 3x and 4x

Also perimeter of triangular park = 2x +3x+4x = 216(given)

⇒ 9x = 216

⇒ x = 24 cm

⇒ three sides of triangle are 2× 24 = 48cm, 3× 24 = 72cm and 4× 24 = 96cm

i) Area of Triangle =

And s = semi perimeter of the triangle

⇒

⇒

=168 cm

Area of triangular park =

=

=

= 11804.49cm²

ii) Distance is to be walked from opposite vertex of longest side to that side straightly

Here longest side is 96cm

The distance walked from the opposite vertex of longest side to that side straightly is perpendicular distance from the vertex to the longest side

This is the height of the triangular park (h)

Area of triangular park =

⇒

⇒

⇒

⇒ h = 245.93 cm