Question

which of the following expressions represents the perimeter of the triangle below? side 1: 2x - 4 side 2: 3x + 1 side 3: x + 5 answer attempt 1 out of 2 6x + 2 6x - 2 5x + 10 7x + 5 submit answer

Explanation:

Step1: Recall perimeter formula

The perimeter $P$ of a triangle is the sum of the lengths of its sides. So $P=(2x - 4)+(3x + 1)+(x + 5)$.

Step2: Combine like - terms of $x$

Combine the $x$ terms: $2x+3x + x=(2 + 3+1)x=6x$.

Step3: Combine constant terms

Combine the constant terms: $-4 + 1+5=(-4 + 1)+5=-3 + 5 = 2$.

Step4: Write the final expression

The perimeter $P = 6x+2$.

Answer:

$6x + 2$