The given ratio of the sides of the triangles is 4:10:7. Let the sides be 4x, 10x and 7x .
And given perimeter is 252 meters .
Perimeter is the sum of all sides. So we get
[tex] 4x+10x+7x=252
\\
21x = 252 [/tex]
Dividing both sides by 21
[tex] x = 12 [/tex]
So the sides are
[tex] 4*12=48 meters
\\
10*12=120 meters
\\
7*12= 84 meters [/tex]