Math worksheet focusing on perimeter calculations for various geometric shapes.

Let’s solve each question one by one, step by step.

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Question 1:
We need to find where “perimeter” is involved.
Perimeter means the total length around a shape — like walking along the edge.

- (a) Carpeting a room → You cover the floor area → That’s area, not perimeter.
- (b) Fencing a plot → You put fence around the edges → That’s perimeter.

✔ So, answer is (b)

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Question 2:
Triangle sides: 6 cm, 8 cm, 10 cm
Perimeter = add all sides → 6 + 8 + 10 = 24 cm

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Question 3:
Square has 4 equal sides. One side = 4 cm
Perimeter = 4 × side = 4 × 4 = 16 cm

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Question 4:
Rectangle sides: 5 cm and 2 cm
Perimeter = 2 × (length + width) = 2 × (5 + 2) = 2 × 7 = 14 cm

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Question 5:
Triangle with sides: 3 cm, 3.5 cm, 4 cm
Add them: 3 + 3.5 + 4 = 10.5 cm

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Question 6:
Rectangle: length = 3.7 cm, width = 2.3 cm
Perimeter = 2 × (3.7 + 2.3) = 2 × 6 = 12 cm

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Question 7:
Compare perimeters of two figures:

Figure (a): Rectangle 4 cm by 2 cm
→ Perimeter = 2 × (4 + 2) = 2 × 6 = 12 cm

Figure (b): Square 4 cm by 4 cm
→ Perimeter = 4 × 4 = 16 cm

So, figure (b) has greater perimeter.

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Question 8:
Triangle with all sides 4.5 cm → equilateral triangle
Perimeter = 3 × 4.5 = 13.5 cm

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Question 9:
This is a weird-shaped figure. We just add up ALL the outer sides.

Sides given:
- Bottom: 6.5 cm
- Left slant: 2 cm
- Top left horizontal: 3.5 cm
- Left peak slope: 2.5 cm
- Right peak slope: 3 cm
- Top right horizontal: 3 cm
- Right slant: 2 cm

Wait — let’s list them in order going around the shape:

Start from bottom left corner, go clockwise:

1. Up-left slant: 2 cm
2. Horizontal top-left: 3.5 cm
3. Slope up to peak: 2.5 cm
4. Slope down from peak: 3 cm
5. Horizontal top-right: 3 cm
6. Down-right slant: 2 cm
7. Bottom base: 6.5 cm

Now add them:

2 + 3.5 = 5.5
5.5 + 2.5 = 8
8 + 3 = 11
11 + 3 = 14
14 + 2 = 16
16 + 6.5 = 22.5 cm

✔ Double-check: All sides are included? Yes. No duplicates. Total = 22.5 cm

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Final Answer:
1. (b)
2. 24 cm
3. 16 cm
4. 14 cm
5. 10.5 cm
6. 12 cm
7. (b)
8. 13.5 cm
9. 22.5 cm