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: Find the length of each side

• For the side \(3x - 4\), substitute \(x = 4\):

\(3\times4-4=12 - 4=8\)

• For the side \(x^{2}-1\), substitute \(x = 4\):

\(4^{2}-1=16 - 1=15\)

• For the side \(2x^{2}-15\), substitute \(x = 4\):

\(2\times4^{2}-15=2\times16-15=32 - 15 = 17\)

Step2: Calculate the perimeter

The perimeter \(P\) of a triangle is the sum of its side lengths.
\(P=8 + 15+17=40\)

Answer:

40 feet