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? 16 feet 40 feet 76 feet 80 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? 16 feet 40 feet 76 feet 80 feet

Answer

Explanation:

Step1: Find length of first - side

Substitute (x = 4) into (3x-4). (3\times4 - 4=12 - 4=8)

Step2: Find length of second - side

Substitute (x = 4) into (x^{2}-1). (4^{2}-1=16 - 1 = 15)

Step3: Find length of third - side

Substitute (x = 4) into (2x^{2}-15). (2\times4^{2}-15=2\times16 - 15=32 - 15 = 17)

Step4: Calculate perimeter

Perimeter (P) of a triangle is sum of side - lengths. (P=8 + 15+17=40)

Answer:

40 feet