Final answer:
The perimeter of the triangle park is 14x + 4
Step-by-step explanation:
The student has asked to find the perimeter of a triangle park with given side lengths that are expressed in terms of x. The sides of the triangle are given as 2x+9, 5x-1, and 7x-4. To find the perimeter, we need to sum these three expressions.
Perimeter (P) = (2x+9) + (5x-1) + (7x-4)
Combining like terms, we have:
P = 2x + 5x + 7x + 9 - 1 - 4
P = (2 + 5 + 7)x + (9 - 1 - 4)
P = 14x + 4
The perimeter of the triangle park is thus 14x + 4, which is a linear expression in terms of x.