Perimeter of Polygons Worksheets - Math Monks - Free Printable

Let’s solve each problem one by one. We’ll find the perimeter of each polygon by adding up all its sides — even if some sides are missing, we can figure them out using the tick marks (which mean those sides are equal).

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Problem 1: Rectangle

- It’s a rectangle → opposite sides are equal.
- Given: bottom = 16.4 ft, right side = 8.2 ft
- So top = 16.4 ft, left side = 8.2 ft
- Perimeter = 16.4 + 8.2 + 16.4 + 8.2
= (16.4 × 2) + (8.2 × 2)
= 32.8 + 16.4 = 49.2 ft

✔ Check: 16.4 + 16.4 = 32.8; 8.2 + 8.2 = 16.4; total = 49.2 ✔️

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Problem 2: Rhombus (all sides equal)

- All 4 sides have same tick mark → all sides = 1.9 m
- Perimeter = 1.9 × 4 = 7.6 m

✔ Check: 1.9 + 1.9 = 3.8; 3.8 + 3.8 = 7.6 ✔️

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Problem 3: Trapezoid with two equal non-parallel sides

- Top = 33.8 m, bottom = 45.7 m
- The two slanted sides both have one tick → they’re equal → each = 13.5 m
- Perimeter = 33.8 + 45.7 + 13.5 + 13.5
First: 33.8 + 45.7 = 79.5
Then: 13.5 + 13.5 = 27
Total = 79.5 + 27 = 106.5 m

✔ Check: 33.8 + 45.7 = 79.5; 13.5×2=27; 79.5+27=106.5 ✔️

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Problem 4: Regular Octagon? Wait — only one side labeled!

Wait — this shape has 8 sides, but only one side is labeled: 4.8 in. And there are no tick marks showing which sides are equal.

But looking at the drawing — it looks like a regular octagon (all sides equal), and since only one side is given and no other info, we assume all 8 sides are 4.8 in.

→ Perimeter = 4.8 × 8

Calculate:
4.8 × 8 = (4 × 8) + (0.8 × 8) = 32 + 6.4 = 38.4 in

✔ Check: 4.8 × 8 = 38.4 ✔️

*(Note: In real worksheets, if it's drawn symmetrically and only one side is given without ticks implying inequality, we assume regularity.)*

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Problem 5: Parallelogram

- Opposite sides equal.
- Top = 6 cm → bottom = 6 cm
- Right side = 4.3 cm → left side = 4.3 cm
- Perimeter = 6 + 4.3 + 6 + 4.3
= (6 × 2) + (4.3 × 2) = 12 + 8.6 = 20.6 cm

✔ Check: 6+6=12; 4.3+4.3=8.6; 12+8.6=20.6 ✔️

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Problem 6: Pentagon with one side labeled

Only bottom side = 16.6 ft. No tick marks on others. But again, drawn as regular pentagon? Since no other info, and only one side given, we assume all 5 sides = 16.6 ft.

→ Perimeter = 16.6 × 5

Calculate:
16.6 × 5 = (16 × 5) + (0.6 × 5) = 80 + 3 = 83 ft

✔ Check: 16.6 × 5 = 83 ✔️

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Problem 7: Square

All sides equal. One side = 8.8 km → all four sides = 8.8 km

Perimeter = 8.8 × 4 = ?

8.8 × 4 = (8 × 4) + (0.8 × 4) = 32 + 3.2 = 35.2 km

✔ Check: 8.8 + 8.8 = 17.6; 17.6 × 2 = 35.2 ✔️

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Problem 8: Kite or Diamond Shape – divided into triangles

This shape has 4 outer sides. Let’s look:

- Two sides on top: each marked with one tick → so those two are equal → each = 10.8 in
- Two sides on bottom: each marked with two ticks → so those two are equal → each = 4.2 in

So perimeter = 10.8 + 10.8 + 4.2 + 4.2
= (10.8 × 2) + (4.2 × 2)
= 21.6 + 8.4 = 30.0 in

✔ Check: 10.8 + 10.8 = 21.6; 4.2 + 4.2 = 8.4; 21.6 + 8.4 = 30 ✔️

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Final Answer:

1. 49.2 ft
2. 7.6 m
3. 106.5 m
4. 38.4 in
5. 20.6 cm
6. 83 ft
7. 35.2 km
8. 30.0 in