Final answer:
The perimeter of the triangle with sides measuring x+3y, 3x-5y, and 2x+8y is found by summing these expressions, resulting in a perimeter of 6x+6y.
Step-by-step explanation:
The perimeter of a triangle is the sum of the lengths of all its sides. For a triangle with sides measuring x+3y, 3x-5y, and 2x+8y, the perimeter can be calculated by adding these expressions together:
Perimeter = (x+3y) + (3x-5y) + (2x+8y)
Combining like terms, we get:
Perimeter = x + 3x + 2x + 3y - 5y + 8y
Perimeter = (1x + 3x + 2x) + (3y - 5y + 8y)
Perimeter = 6x + 6y
Therefore, the correct answer is b. 6x+6y.