The distance around the figure is 13.3 cm
From the given diagram,
The distance around the figure is the sum of all the side length.
That is,
The distance around the figure = a + d + a + e + (c - b) + f + c + f + e + a + d
∴ The distance around the figure = 3a +2d + 2e + 2c - b + 2f
From the question, a = 0.1 cm, b = 1.0 cm, c = 1.7 cm, d = 1.2 cm, e = 1.0 cm, and f = 3.1 cm
∴ The distance around the figure = 3(0.1) +2(1.2) + 2(1.0) + 2(1.7) - 1.0 + 2(3.1) cm
The distance around the figure = 0.3 + 2.4 + 2.0 + 3.4 - 1.0 + 6.2 cm = 13.3 cm
Hence, the distance around the figure is 13.3 cm
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