Question

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

Answer 1

The answer is 32 cm. for the hexagon

Answer 2

The answer is the second option

`32\ cm`

Explanation:

we Know that

Each trapezoid in the figure below is congruent to trapezoid ABDC

so

`CE=AC=3\ cm`

`EF=AB+CD=4+6=10\ cm`

`FG=AC=3\ cm`

`GH=AC=3\ cm`

`AH=AB+BH=AB+CD=4+6=10\ cm`

the perimeter is equal to

`P=AC+CE+EF+FG+GH+AH`

substitute the values

`P=3+3+10+3+3+10=32\ cm`