Question

For this question the teacher will grade your response to ensure you receive proper credit for your answer. Look at the given triangles. Part 1: Write an expression in simplest form for the perimeter of each triangle Part 2: Write another expression in simplest form that shows the difference between the perimeter of the larger triangle and the perimeter of the smaller triangle. Part 3: Find the perimeter of each triangle when x = 2.

Answer 1

Part 1:
Triangle 1:
Perimeter = 3x + 4y
Perimeter = 3(2) + 4(3)
Perimeter = 6 + 12
Perimeter = 18

Triangle 2:
Perimeter = 6x + y
Perimeter = 6(2) + 3
Perimeter = 12 + 3
Perimeter = 15

Part 2:
Difference in perimeter = (6x + y) - (3x + 4y)
Difference in perimeter = 6x + y - 3x - 4y
Difference in perimeter = 3x - 3y

Part 3:
When x = 2:
Triangle 1:
Perimeter = 3(2) + 4(3)
Perimeter = 6 + 12
Perimeter = 18

Triangle 2:
Perimeter = 6(2) + 3
Perimeter = 12 + 3
Perimeter = 15