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

Answer 1

Perimeter of triangle is sum of all the 3 sides.
So,
perimeter
= 3x-4 + x^2-1 +2x^2 -15
combining like terms,
= 3x^2 + 3x -20

given that x = 4,

= 3(4^2) +3(4) -20
= 3(16) +12-20
= 48 -8
= 40

hence the perimeter is 40 feet.