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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

User Nick Burke
by
7.1k points

1 Answer

2 votes

Answer:

Perimeter of triangle =40 feet

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

User Athif Shaffy
by
6.8k points