A triangular park is shown below.
Left side of the triangle: 8x - 5
Right side of the triangle: 9x + 1
If the perimeter of the park is 24x - 7, what is the missing length?
A. 17x + 6
B. 7x - 3
C. 7x - 11
D. 17x - 4
To find the missing length, you need to find the length of the base of the triangle first. The base is the sum of the left side and the right side of the triangle.
Base of the triangle = (8x - 5) + (9x + 1)
= 8x - 5 + 9x + 1
= 17x - 4
Since the perimeter of the park is given as 24x - 7, we can set up the equation:
24x - 7 = (8x - 5) + (9x + 1) + missing length
Simplifying the equation:
24x - 7 = 17x - 4 + missing length
24x - 7 - (17x - 4) = missing length
24x - 7 - 17x + 4 = missing length
7x - 3 = missing length
Therefore, the missing length is 7x - 3.
The correct answer is B. 7x - 3.