What is the perimeter of this shape

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  72.6 cm

Step-by-step explanation:

It is the perimeter of the overall rectangle plus twice the depth of the notch.*

  P = 2(L+W) +2d

  P = 2(16 cm + 13 cm + 7.3 cm) = 2(36.3 cm)

  P = 72.6 cm

The perimeter of the shape is 72.6 cm.

* You may be able to visualize this if you imagine the bottom (top) of the notch translated out (down) to the edge of the rectangle. That translation does not affect the length of the line segment, but helps convince you that only the two legs of the notch are added to the perimeter of the rectangle.

A dot plot titled How many Hours do you Sleep at Night question mark going from 5 to 9. 5 has 2 dots, 6 has 3 dots, 7 has 4 dots, 8 has 3 dots, and 9 has 1 dot.

Step-by-step explanation: