Question

find the perimeter of the triangle in simplest form. n + 5 2n + 1 2n + 5 write the answer with no spaces. be sure to use n not x ex) 2n + 3 question 6 1 pts

Explanation:

Step1: Recall the formula for perimeter

The perimeter \(P\) of a triangle is \(P=a + b+ c\), where \(a\), \(b\), and \(c\) are the side - lengths. Here \(a=n + 5\), \(b=2n+1\), \(c=2n + 5\).

Step2: Substitute the side - lengths into the formula

\(P=(n + 5)+(2n+1)+(2n + 5)\)

Step3: Remove the parentheses

\(P=n + 5+2n+1+2n + 5\)

Step4: Combine like terms

Combine the \(n\) terms: \(n+2n+2n=(1 + 2+2)n=5n\). Combine the constant terms: \(5 + 1+5=11\). So \(P=5n+11\)

Answer:

\(5n + 11\)