Question

simplify the expressions to find the perimeter of the triangle. you are given the lengths of each side. 5x - 3, 4x, 2(x + 4). 11x³ + 5, 11x + 5, 10x + 1, 11x + 1, 20x + 2

Explanation:

Step1: Expand the third - side expression

Expand $2(x + 4)$ using the distributive property $a(b + c)=ab+ac$. Here, $a = 2$, $b=x$, $c = 4$, so $2(x + 4)=2x+8$.

Step2: Find the perimeter of the triangle

The perimeter $P$ of a triangle is the sum of the lengths of its sides. So $P=(5x - 3)+4x+(2x + 8)$.

Step3: Combine like - terms

Combine the $x$ - terms: $5x+4x+2x=(5 + 4+2)x=11x$. Combine the constant terms: $-3 + 8=5$. So $P=11x+5$.

Answer:

$11x + 5$