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

Explanation:

Step1: Encontrar la longitud del primer lado

Sustituir \(x = 4\) en \(3x - 4\):
\[3\times4-4=12 - 4=8\]

Step2: Encontrar la longitud del segundo lado

Sustituir \(x = 4\) en \(x^{2}-1\):
\[4^{2}-1=16 - 1 = 15\]

Step3: Encontrar la longitud del tercer lado

Sustituir \(x = 4\) en \(2x^{2}-15\):
\[2\times4^{2}-15=2\times16-15=32 - 15=17\]

Step4: Calcular el perímetro

Sumar las longitudes de los lados: \(8 + 15+53=76\) feet.

Answer:

C. 76 feet