Each trapezoid in the figure below is congruent to trapezoid abdc. what is the perimeter of hexagon acefgh?

The perimeter of the hexagon ACEFGH is calculated by adding the lengths of its sides.

Each trapezoid is congruent to trapezoid  ABCD (All sides of each trapezoid have the same lengths to the sides of the trapezoid ABCD) so the lengths can be known: 

Length AH = 4 cm + 6 cm = 10 cm

Length AC = 3 cm

Length CE = 3 cm

Length EF = 4 cm + 6 cm = 10 cm

Length FG = 3 cm

Length GH = 3 cm

The perimeter of hexagon ACEFGH is:

Perimeter = 10 cm + 3 cm + 3 cm + 10 cm + 3 cm + 3 cm

Perimeter = 32 cm

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2

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step-by-step explanation: