Triangle a 7x + 7 5x - 4 4x + 2 Triangle b 2x -5 x + 3. x + 7 A. write an expression in simplest form for the perimeter of each triangle. B. write another expression in the simplest form that shows the difference between the perimeter of the larger triangle and the perimeter of the smaller triangle. C Find the perimeter for each triangle when x = 3

Answer 1

A. Perimeter of triangle a = 7x + 7 + 5x - 4 + 4x + 2 = 16x + 5
Perimeter of triangle b = 2x - 5 + x + 3 + x + 7 = 4x + 5

B. Difference in perimeter = (16x + 5) - (4x + 5) = 12x

C.
When x = 3,
Perimeter of triangle a = 16(3) + 5 = 53
Perimeter of triangle b = 4(3) + 5 = 17