Answer:
Let x inches the length of the second side of the triangle.
∴ Length of first side of triangle
= (4x - 6) inches
∴ Length of third side of triangle
= (2x + 6) inches
Perimeter of the triangle = 60 inches
∴ x + 4x - 6 + 2x + 6 = 60
7x = 60
∴ x = 60/7
∴ Length of first side of triangle
= (4x - 6) inches
= [4(60/7) - 6] inches
= 198/7 inches
= 28.3 inches (to 3sf)
∴ Length of second side of triangle
= x inches
= 60/7 inches
= 8.57 inches (to 3sf)
∴ Length of third side of triangle
= (2x + 6) inches
= [2(60/7) + 6] inches
= 162/7 inches
= 23.1 inches (to 3sf)