Answer:
[tex]4x+\dfrac{9}{10}[/tex]
Step-by-step explanation:
Perimeter = total distance around a 2D shape
Therefore, perimeter of the triangle = x + 1/5 + 2x + 1/5 + x + 1/2
Collect like terms: x + 2x + x + 1/5 + 1/5 + 1/2
Combine like terms: 4x + 9/10
Therefore, the expression for the perimeter of the triangle is:
[tex]4x+\dfrac{9}{10}[/tex]
Perimeter=Sum of sides
[tex]\\ \tt\hookrightarrow x+1/5+2x+1/5+x+1/2[/tex]
[tex]\\ \tt\hookrightarrow 4x+2/5+1/2[/tex]
[tex]\\ \tt\hookrightarrow 4x+9/10[/tex]
Add units at end
