The correct option is
A 34 cm
Perimeter is defined as the length of the outer boundary of any shape. We have specified formulas to find the perimeter of regular shapes like square, rectangle, circle, and more.
For the given figure, since it is an irregular shape, we do not have any specific formula to find its perimeter. To find the perimeter, we calculate the length of the outer boundary.
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1541887/original_Picture17.png)
In the figure, all outer boundary lengths are given except GF. So, we need to find the length of GF.
=> BC = AH + GF + ED = 4 + GF + 3
=> 9 = 7 + GF
=> GF = 9 – 7 = 2 cm
Now, we can find the perimeter of the shape,
Perimeter = AB + BC + CD + DE + EF + FG + GH + HA = 5 + 9 + 6 + 3 + 3 + 2 + 2 + 4 = 34 cm
Hence, the perimeter of the given shape is 34 m.