Perimeter of Compound Shapes worksheet with nine exercises to find the perimeter of different compound figures.

To find the perimeter of a compound shape, you need to add up the lengths of all the outer sides. Think of it like walking around the outside edge of the shape and counting every step you take.

Here are the calculations for each shape:

1)
Add all the side lengths: $6 + 6 + 8 + 7 + 8$
$12 + 8 = 20$
$20 + 7 = 27$
$27 + 8 = 35$
Perimeter = 35 in

2)
Add all the side lengths: $5 + 10 + 3 + 4 + 9 + 16$
$5 + 10 = 15$
$15 + 3 = 18$
$18 + 4 = 22$
$22 + 9 = 31$
$31 + 16 = 47$
Perimeter = 47 yd

3)
Add all the side lengths: $3 + 8 + 9 + 16 + 8 + 3 + 19$
$3 + 8 = 11$
$11 + 9 = 20$
$20 + 16 = 36$
$36 + 8 = 44$
$44 + 3 = 47$
$47 + 19 = 66$
Perimeter = 66 ft

4)
Add all the side lengths: $10 + 7 + 3 + 12 + 15 + 17$
$10 + 7 = 17$
$17 + 3 = 20$
$20 + 12 = 32$
$32 + 15 = 47$
$47 + 17 = 64$
Perimeter = 64 yd

5)
Add all the side lengths: $20 + 13 + 4 + 2 + 4 + 13$
$20 + 13 = 33$
$33 + 4 = 37$
$37 + 2 = 39$
$39 + 4 = 43$
$43 + 13 = 56$
Perimeter = 56 ft

6)
Add all the side lengths: $7 + 4 + 6 + 5 + 6 + 3$
$7 + 4 = 11$
$11 + 6 = 17$
$17 + 5 = 22$
$22 + 6 = 28$
$28 + 3 = 31$
Perimeter = 31 in

7)
Add all the side lengths: $9 + 14 + 10 + 5 + 11$
$9 + 14 = 23$
$23 + 10 = 33$
$33 + 5 = 38$
$38 + 11 = 49$
Perimeter = 49 ft

8)
Add all the side lengths: $4 + 6 + 3 + 5 + 4 + 10$
$4 + 6 = 10$
$10 + 3 = 13$
$13 + 5 = 18$
$18 + 4 = 22$
$22 + 10 = 32$
Perimeter = 32 in

9)
Add all the side lengths: $3 + 4 + 5 + 5 + 5 + 3 + 12 + 3 + 5 + 5 + 4 + 3 + 12$
Let's group them to make it easier:
Top/Bottom long sides: $12 + 12 = 24$
Outer vertical sides: $3 + 3 = 6$
Inner "U" shape parts:
Left side inner: $4 + 5 + 5 = 14$
Right side inner: $5 + 5 + 4 = 14$
Total: $24 + 6 + 14 + 14 = 58$
Perimeter = 58 yd

Final Answer:
1) 35 in
2) 47 yd
3) 66 ft
4) 64 yd
5) 56 ft
6) 31 in
7) 49 ft
8) 32 in
9) 58 yd