Each trapezoid in the figure below is congruent to trapezoid ABDC.



What is the perimeter of hexagon ACEFGH?

1)28 cm
2)32 cm
3)36 cm
4)64 cm

Each trapezoid in the figure below is congruent to trapezoid ABDC What is the perimeter of hexagon ACEFGH 128 cm 232 cm 336 cm 464 cm class=

Respuesta :

The answer is 32 cm. for the hexagon

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]