Kat is painting the edge of a triangular stage prop with reflective orange paint. The lengths of the edges of the triangle are (3x – 4) feet, (x2 – 1) feet, and (2x2 – 15) feet. What is the perimeter of the triangle if x = 4?
16 feet
40 feet
76 feet
80 feet
To find the perimeter of the triangle, we need to substitute the value of x into each expression representing the length of the edges, and then add them together.
Substituting x = 4:
Edge 1: 3x - 4 = 3(4) - 4 = 12 - 4 = 8 feet
Edge 2: x^2 - 1 = 4^2 - 1 = 16 - 1 = 15 feet
Edge 3: 2x^2 - 15 = 2(4^2) - 15 = 2(16) - 15 = 32 - 15 = 17 feet
Adding the lengths of the edges together:
8 + 15 + 17 = 40 feet
Therefore, the perimeter of the triangle when x = 4 is 40 feet. Answer: \boxed{40}.