Question

Look at the given triangles.
There are 2 right triangles. The left one is purple, the right one is blue. The purple triangle has 3x+4 on the right, 8x+9 on the left, and 4x-3 on the bottom. The blue triangle has x+7 on the right side, 3x-4 on the left side, and x+5 on the bottom.

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:
Perimeter of the purple triangle = (3x+4) + (8x+9) + (4x-3) = 15x + 10
Perimeter of the blue triangle = (x+7) + (3x-4) + (x+5) = 5x + 8

Part 2:
Difference in perimeter = (15x + 10) - (5x + 8) = 10x + 2

Part 3:
When x = 2,
Perimeter of the purple triangle = 15(2) + 10 = 40
Perimeter of the blue triangle = 5(2) + 8 = 18