Question
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
16 feet
40 feet
76 feet
80 feet
Answers
GPT 3.5
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}.
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}.