Respuesta :
Answer:
The answer is the second option
[tex]32\ cm[/tex]
Step-by-step explanation:
we Know that
Each trapezoid in the figure below is congruent to trapezoid ABDC
so
[tex]CE=AC=3\ cm[/tex]
[tex]EF=AB+CD=4+6=10\ cm[/tex]
[tex]FG=AC=3\ cm[/tex]
[tex]GH=AC=3\ cm[/tex]
[tex]AH=AB+BH=AB+CD=4+6=10\ cm[/tex]
the perimeter is equal to
[tex]P=AC+CE+EF+FG+GH+AH[/tex]
substitute the values
[tex]P=3+3+10+3+3+10=32\ cm[/tex]