Question

the perimeter of a park is 180m and its sides are in the ratio 5:6:7. find area of the park​

Answer 1

is the park triangular .... if it is then here is your answer

given ratio - 5:6:7

let the sides of park be 5x , 6x , 7x

Perimeter = 180 m

5x + 6x + 7x = 180m

18x = 180m

x = 180/18

x = 10

Sides of park are

5×10 , 6×10 , 7×10

= 50m , 60m , 70m

Let a = 50m , b=60m , c=70m

Semi perimeter (S) = a + b + c / 2

= 50+60+70/2

=180/2

=90

By Heron's formula

(refer to the image)

Answer 2

Answer: If the park is triangular;

let the sides of park be 5x,6x and 7x respectively .

A.T.Q.,

5x+6x+7x= 180

18x= 180

x= 10

hence sides are,

5x=5×10=50

6x=6×10=60

7x=7×10=70