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

Respuesta :

Answer:

Perimeter of triangle =40 feet

Step-by-step explanation:

Given:

Lengths of edges of triangle:

[tex](3x-4)[/tex] feet

[tex](x^2-1)[/tex] feet

[tex](2x^2-15)[/tex] feet

Perimeter of the triangle= Sum of all sides = [tex](3x-4)+(x^2-1)+(2x^2-15)[/tex] feet

On simplifying by adding like terms:

Perimeter of triangle = [tex]3x^2+3x-20[/tex] feet

Given [tex]x=4[/tex]

∴ Perimeter of triangle = [tex]3(4)^2+3(4)-20[/tex] [tex]=3(16)+12-20[/tex]

[tex]=48+12-20[/tex] = 40 feet

Answer: 40 feet

Step-by-step explanation: