kat is painting the edge of a triangular stage prop with reflective orange paint. the lengths of the edges…

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?\n16 feet\n40 feet\n76 feet\n80 feet

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?\n16 feet\n40 feet\n76 feet\n80 feet

Answer

Explanation:

Step1: Find the lengths of each side

Substitute (x = 4) into each side - length expression. For the first side: (3x-4=3\times4 - 4=12 - 4=8) feet. For the second side: (x^{2}-1=4^{2}-1=16 - 1 = 15) feet. For the third side: (2x^{2}-15=2\times4^{2}-15=2\times16-15=32 - 15 = 17) feet.

Step2: Calculate the perimeter

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

Answer:

40 feet