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Class 6 Perimeter of Shapes — practice questions with answers

Mensuration · 5 sample questions from the school syllabus. Try each one, then open the answer and the worked solution.

1. What is the perimeter of a square of side 5 cm?
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Answer: B) 20 cm
Perimeter of a square = 4 × side = 4 × 5 = 20 cm.
2. The perimeter of a rectangle is 40 cm and its length is 12 cm. Find its breadth.
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Answer: A) 8 cm
Perimeter = 2 × (l + b), so 40 = 2 × (12 + b), 20 = 12 + b, b = 8 cm.
3. A rectangular garden is 20 m long and 12 m wide. Find the cost of fencing it at ₹15 per metre.
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Answer: B) ₹960
Perimeter = 2 × (20 + 12) = 64 m. Cost = 64 × 15 = ₹960.
4. Anil ties a goat with a rope to a peg in the centre of a square field of side 20 m.
Ignoring the rope, he wants to fence the whole field at ₹25 per metre.
What is the total cost of fencing?
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Answer: B) ₹2,000
Perimeter = 4 × 20 = 80 m. Cost = 80 × 25 = ₹2,000.
5. A rectangular plot is 50 m by 30 m. It is to be fenced with 3 rows of wire.
Wire costs ₹12 per metre.
What is the total cost of the wire needed?
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Answer: B) ₹5,760
Perimeter = 2 × (50 + 30) = 160 m. Three rows = 3 × 160 = 480 m. Cost = 480 × 12 = ₹5,760.
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