The three sides of a triangular fence have lengths 3x + 4, y − 5, and 7x − 1. What is the total perimeter?
The perimeter is the sum of the lengths of all three sides:
Perimeter = (3x + 4) + (y − 5) + (7x − 1)
Perimeter = 10x + y − 2
To find the total perimeter of the triangular fence, we need to add the lengths of all three sides.
Given:
Length of the first side = 3x + 4
Length of the second side = y - 5
Length of the third side = 7x - 1
Total perimeter = Length of first side + Length of second side + Length of third side
Total perimeter = (3x + 4) + (y - 5) + (7x - 1)
Now, we can combine like terms.
Total perimeter = 3x + y + 7x + 4 - 5 - 1
Simplifying further, we get:
Total perimeter = (3x + 7x) + y + (4 - 5 - 1)
Total perimeter = 10x + y - 2
Therefore, the total perimeter of the triangular fence is 10x + y - 2.