The perimeter of the figure is the third option given. [tex]50x+11.[/tex]
Step-by-step explanation:
Step 1:
The perimeter is a measure of the length of the outer surface of any given shape or structure.
In the given shape, there is a triangle and a rectangle.
The perimeter for a triangle is the sum of the side lengths while the perimeter of a rectangle is twice the sum of the length and width.
Step 2:
However, for this figure, the connecting side of the rectangle and the triangle is an interior side so it is not included in the calculation for the perimeter.
The sides of the triangle measure [tex]6x-4[/tex] units while the width of the rectangle for both sides is [tex]12x+3[/tex] units.
The perimeter of the given model
[tex]= (14x+13)+(12x+3)+(12x+3)+(6x-4)+(6x-4) = 50x + 11.[/tex]
So the perimeter of the figure is [tex]50x+11.[/tex] Which is the third option given.
