First we must find area of a single square.
Meaning we divide total area of 80 centimetres squared by 5 since we have 5 squares in the shape.
[tex]A_{square}=\frac{A_{shape}}{5}=\underline{16}[/tex]
Now from the picture we can see that the perimeter of shape is combined by 4 times 3 times the length of side of 1 square.
So we need to find side of 1 square.
[tex]a=\sqrt{A_{square}}=\sqrt{16}=\underline{4}[/tex]
As we stated before the formula for perimeter of this shape is:
[tex]P=4(3\cdot a)=4(3\cdot4)=4\cdot12=\boxed{48}[/tex]
The perimeter of shape is 48 centimetres.
Hope this helps.
r3t40