each trapezoid in the figure below is congruent to trapezoid abdc. what is the perimeter of hexagon acefgh…

Explanation:

Step1: Identify congruent sides

Since the trapezoids are congruent, corresponding sides are equal.

Step2: List side - lengths of the hexagon

The side - lengths of hexagon ACEFGH are composed of sides from the trapezoids. The lengths of the sides of the hexagon are: (AC = 3\mathrm{cm}), (CE=4\mathrm{cm}), (EF = 6\mathrm{cm}), (FG=3\mathrm{cm}), (GH = 4\mathrm{cm}), (HA=6\mathrm{cm}).

Step3: Calculate the perimeter

Perimeter (P=3 + 4+6 + 3+4 + 6). (P=(3 + 3)+(4 + 4)+(6 + 6)) (P = 6+8 + 12) (P=32\mathrm{cm})

Answer:

32 cm