A triangular park is shown below. If the perimeter of the park is 24x−7 , what is the missing length? (1 point) Responses 17x+6 17 x plus 6 7x−3 7 x minus 3 17x−4 17 x minus 4 7x−11
To find the missing length, we need to determine the length of the sides of the triangular park. Let the three sides be represented by a, b, and c.
Given that the perimeter of the park is 24x - 7, we have: a + b + c = 24x - 7
Let the known sides be a = 7x - 11 and b = 7x - 3. Let the missing side be c.
Now we can substitute the values into the perimeter equation: (7x - 11) + (7x - 3) + c = 24x - 7
14x - 14 + c = 24x - 7
Add 14 to both sides:
14x + c = 24x + 7
Subtract 14x from both sides:
c = 10x + 7
Therefore, the missing length is 10x + 7.
None of the given options match the correct answer.