Let's solve each of the perimeter problems step by step.
---
a) Rectangle
- Given:
- Length = 24 cm
- Width = 8 cm
Perimeter of a rectangle = 2 × (Length + Width)
= 2 × (24 + 8)
= 2 × 32
=
64 cm
✔ Answer: 64 cm
---
b) Triangle
- Given sides:
- 6 cm, 8 cm, 10 cm
Perimeter of a triangle = Sum of all sides
= 6 + 8 + 10
=
24 cm
✔ Answer: 24 cm
---
c) Parallelogram
- Given:
- One side = 7 cm
- Adjacent side = 4 cm
In a parallelogram, opposite sides are equal. So:
- Two sides = 7 cm each
- Two sides = 4 cm each
Perimeter = 2 × (7 + 4)
= 2 × 11
=
22 cm
✔ Answer: 22 cm
---
d) Trapezium (Trapezoid)
- Given sides:
- 10 cm, 12 cm, 5 cm, and one missing side? Wait — let's check.
Wait: The figure shows:
- Top base = 10 cm
- Bottom base = 12 cm
- Left side = 5 cm
- Right side = ??
But wait — actually, looking at the diagram:
It’s a trapezium with sides labeled:
- 10 cm (top)
- 12 cm (bottom)
- 5 cm (left slant)
- 11 cm (right slant)
So all four sides are given:
10 cm, 12 cm, 5 cm, 11 cm
Perimeter = 10 + 12 + 5 + 11 =
38 cm
✔ Answer: 38 cm
---
e) Irregular Pentagon
- Sides:
- 6 cm, 5 cm, 7 cm, 9 cm, 4 cm
Perimeter = sum of all sides
= 6 + 5 + 7 + 9 + 4
=
31 cm
✔ Answer: 31 cm
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f) Hexagon (Irregular)
- Sides:
- 6 cm, 2 cm, 2 cm, 2 cm, 2 cm, 6 cm
Wait — let’s count carefully:
From the diagram:
- Top side = 6 cm
- Then: 2 cm, 2 cm, 2 cm, 2 cm (the "steps" on the right)
- Bottom side = 6 cm
But actually, it looks like a symmetrical hexagon with:
- Two long sides: 6 cm each
- Four short sides: 2 cm each
So total:
= 6 + 2 + 2 + 2 + 2 + 6
=
20 cm
✔ Answer: 20 cm
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✔ Final Answers:
a)
64 cm
b)
24 cm
c)
22 cm
d)
38 cm
e)
31 cm
f)
20 cm
Let me know if you'd like this formatted as a worksheet answer or need explanations in simpler terms!
Parent Tip: Review the logic above to help your child master the concept of perimeter of shapes worksheet.
