Question

Write the perimeter of the triangle as a simplified expression.a3y + 56y-y - 4

Answer 1

10y+1

Explanation

The perimeter of a triangle is simply the sum of its three sides.

so

Step 1

let

$\begin{gathered} \text{side}_1=3y+5 \\ \text{side}_2=y-4 \\ \text{side}_3=6y \end{gathered}$

hence, the perimeter would be

$\begin{gathered} \text{Perimeter}=side_1+side_2+side_3 \\ \text{replace} \\ \text{Perimeter}=3y+5+y-4+6y \\ \text{add like terms} \\ \text{Perimeter}=(3y+y+6y)+(5-4) \\ \text{Perimeter}=10y+1 \end{gathered}$

therefore, the perimeter is

10y+1

I hope this helps you