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 add the two 13.5s: 13.5 × 2 = 27
Then: 33.8 + 45.7 = 79.5
Total = 79.5 + 27 =
106.5 m
✔ Check: 33.8 + 45.7 = 79.5; 13.5 + 13.5 = 27; 79.5 + 27 = 106.5 ✔️
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Problem 4: Regular Octagon (all sides equal)
- Only one side labeled: 4.8 in
- But it’s regular → all 8 sides = 4.8 in
- Perimeter = 4.8 × 8
Let’s compute: 4 × 8 = 32; 0.8 × 8 = 6.4 → total = 32 + 6.4 =
38.4 in
✔ Check: 4.8 × 8 = 38.4 ✔️
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Problem 5: Parallelogram
- Opposite sides equal → top and bottom = 6 cm; left and right = 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: Regular Pentagon
- One side = 16.6 ft → all 5 sides equal
- Perimeter = 16.6 × 5
Compute: 16 × 5 = 80; 0.6 × 5 = 3 → total = 80 + 3 =
83 ft
✔ Check: 16.6 × 5 = 83 ✔️
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Problem 7: Square
- All sides equal → one side = 8.8 km
- Perimeter = 8.8 × 4
8 × 4 = 32; 0.8 × 4 = 3.2 → total = 32 + 3.2 =
35.2 km
✔ Check: 8.8 × 4 = 35.2 ✔️
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Problem 8: Kite (two pairs of adjacent equal sides)
- Look at the ticks:
- Two sides on top: each has one tick → both = 10.8 in
- Two sides on bottom: each has two ticks → both = 4.2 in
- 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
Parent Tip: Review the logic above to help your child master the concept of perimeter worksheet 2nd grade.
