Question

each trapezoid in the figure below is congruent to trapezoid abdc. what is the perimeter of hexagon acefgh? 28 cm 32 cm 36 cm 64 cm figure may not be drawn to scale

Explanation:

Step1: Identify the lengths of the sides of the hexagon

Since each trapezoid is congruent to trapezoid \(ABDC\), the sides of the hexagon \(ACEFGH\) have lengths: \(AC = 3\mathrm{cm}\), \(CE=6\mathrm{cm}\), \(EF = 4\mathrm{cm}\), \(FG=6\mathrm{cm}\), \(GH = 4\mathrm{cm}\), \(HA=3\mathrm{cm}\)

Step2: Calculate the perimeter

The perimeter \(P\) of a polygon is the sum of the lengths of its sides. So \(P=AC + CE+EF+FG + GH+HA\)
Substitute the values: \(P = 3+6 + 4+6+4+3\)

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Answer:

32 cm