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

Answer 1

Answer:

Perimeter of triangle =40 feet

Step-by-step explanation:

Given:

Lengths of edges of triangle:

$(3x-4)$ feet

$(x^2-1)$ feet

$(2x^2-15)$ feet

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

On simplifying by adding like terms:

Perimeter of triangle = $3x^2+3x-20$ feet

Given $x=4$

∴ Perimeter of triangle = $3(4)^2+3(4)-20$ $=3(16)+12-20$

$=48+12-20$ = 40 feet

Answer 2

Answer: The correct answer is B: 40 feet.

hope this helps :)