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

4 trapezoids are connected. Trapezoid A B C D is connected to trapezoid B D G H at side B D. Another trapezoid is on top of trapezoid A B C D and connects at side C D. Another trapezoid is on top of trapezoid B D G H and connects at side D G. The length of side C A is 3 centimeters, the length of A B is 4 centimeters, and the length of side C D is 6 centimeters.

What is the perimeter of hexagon ACEFGH?

28 cm
32 cm
36 cm
64 cm

Question

contestada

Respuesta :

zoetropes zoetropes · Answer 1 · 2019-11-21T02:11:13+01:00

Answer:

B: 32 cm

Step-by-step explanation:

Add together only the outside lengths

6+6+4+4+3+3+3+3=32 cm

Answer Link

MrRoyal MrRoyal · Answer 2 · 2021-11-11T16:54:21+01:00

The perimeter of the hexagon is the sum of its side lengths.

The perimeter of the hexagon is 32 cm

The side lengths of the hexagon is as follows:

AC, CE, EF, FG, GH and HA

So, the perimeter is:

[tex]\mathbf{Perimeter = AC + CE + EF + FG + GH + HA}[/tex]

Where:

[tex]\mathbf{EF= AH = 4cm + 6cm = 10cm}[/tex]

[tex]\mathbf{AC = CE = FG= GH = 3cm}[/tex]

So, we have:

[tex]\mathbf{Perimeter = AC + CE + EF + FG + GH + HA}[/tex]

[tex]\mathbf{Perimeter = 3cm + 3cm + 10cm + 3cm + 3cm + 10cm}[/tex]

[tex]\mathbf{Perimeter = 32cm}[/tex]

Hence, the perimeter of the hexagon is 32 cm