Chapter 6 · Class 6 CBSE · MCQ Test
Perimeter & Area MCQ Test — Class 6 CBSE
Practice 10 multiple-choice questions with instant answer reveal and explanations.
Perimeter & Area — MCQ Questions
1Which of the following statements correctly describes the perimeter of a shape?
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Answer: B. The total length of its boundary.
Hint: Think about what 'perimeter' means in everyday language, like fencing a garden or walking around a park.
Solution:
Perimeter is defined as the total distance around the outside edge of a two-dimensional shape.
Option A describes area, Option C describes angles, and Option D describes a radius for a circle, not a general perimeter definition.
2Ravi is calculating the perimeter of a square with a side length of 7 cm. He writes: Perimeter = 7 cm × 7 cm = 49 cm². What is the mistake in Ravi's calculation?
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Answer: D. Both B and C are correct.
Hint: Recall the correct formula for the perimeter of a square and the appropriate units for perimeter.
Solution:
The formula for the perimeter of a square is 4 × side.
Ravi calculated 7 cm × 7 cm, which is the formula for the area of a square (side × side). So, he used the wrong formula.
Also, perimeter is a length, so its unit should be 'cm', not 'cm²'. 'cm²' is the unit for area.
Therefore, both using the wrong formula and using the wrong unit are mistakes.
3A rectangular field has a length of 12 meters and a breadth of 8 meters. What is the total length of wire needed to fence this field exactly once?
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Answer: B. 40 meters
Hint: Fencing a field requires calculating the distance around its boundary. Which geometric concept does this relate to?
Solution:
To fence the field, we need to find its perimeter.
The formula for the perimeter of a rectangle is P = 2 × (length + breadth).
Given length = 12 m and breadth = 8 m.
P = 2 × (12 m + 8 m) = 2 × (20 m) = 40 meters.
4Which of the following statements is true regarding the area of a shape?
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Answer: B. It represents the space occupied by the shape on a flat surface.
Hint: Think about what 'area' means in practical terms, like covering a floor with tiles or painting a wall.
Solution:
Area is the measure of the two-dimensional space a shape occupies.
Option A describes units for perimeter or length. Option C is incorrect; area and perimeter are different concepts and usually have different numerical values and units. Option D describes perimeter.
5A square garden has a side length of 9 meters. How much space does the garden cover?
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Answer: B. 81 square meters
Hint: When asked how much 'space' a garden covers, you need to calculate a specific measurement. Which one is it?
Solution:
To find out how much space the garden covers, we need to calculate its area.
The formula for the area of a square is Area = side × side.
Given side length = 9 meters.
Area = 9 m × 9 m = 81 square meters (or 81 m²).
6A student calculated the area of a rectangle with length 10 cm and breadth 5 cm as 2 × (10 + 5) = 30 cm. What is the mistake in this calculation?
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Answer: D. Both B and C are correct.
Hint: Compare the formula used with the correct formula for the area of a rectangle and check the units.
Solution:
The formula for the area of a rectangle is Area = length × breadth.
The student used 2 × (length + breadth), which is the formula for the perimeter of a rectangle. So, the wrong formula was used.
Area is measured in square units (cm²), not linear units (cm).
Therefore, both using the perimeter formula and using the incorrect unit are mistakes.
7A painter needs to know how much paint to buy to cover a rectangular wall. Which measurement should the painter calculate?
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Answer: B. Area of the wall
Hint: Think about what 'covering' a surface implies. Are you measuring the boundary or the surface itself?
Solution:
To cover a surface like a wall with paint, you need to know the extent of that surface.
This 'extent of surface' is precisely what area measures.
Perimeter would only tell you the length of the edges of the wall, which is not what's needed for painting the entire surface.
8The perimeter of a rectangular swimming pool is 60 meters. If its length is 20 meters, what is its breadth?
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Answer: A. 10 meters
Hint: Use the formula for the perimeter of a rectangle and substitute the given values to find the unknown breadth.
Solution:
The formula for the perimeter of a rectangle is P = 2 × (length + breadth).
We are given P = 60 m and length = 20 m. Let breadth be 'b'.
60 = 2 × (20 + b)
Divide both sides by 2: 30 = 20 + b.
Subtract 20 from both sides: b = 30 - 20 = 10 meters.
9If the side of a square is doubled, what happens to its perimeter?
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Answer: B. The perimeter is doubled.
Hint: Consider a simple example: a square with side 2 cm and then a square with side 4 cm. Calculate their perimeters.
Solution:
Let the original side of the square be 's'. The original perimeter is P₁ = 4 × s.
If the side is doubled, the new side becomes 2 × s.
The new perimeter P₂ = 4 × (2 × s) = 8 × s.
Comparing P₂ with P₁: P₂ = 2 × (4 × s) = 2 × P₁. So, the perimeter is doubled.
10Two identical squares, each with a side length of 5 cm, are joined together along one of their sides to form a rectangle. What is the perimeter of this new rectangle?
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Answer: B. 30 cm
Hint: When two squares are joined, the new shape is a rectangle. Identify its new length and breadth.
Solution:
When two squares of side 5 cm are joined along one side, the new shape is a rectangle.
The breadth of this new rectangle will be the side of one square, which is 5 cm.
The length of this new rectangle will be the sum of the sides of the two squares, so 5 cm + 5 cm = 10 cm.
The perimeter of the new rectangle = 2 × (length + breadth) = 2 × (10 cm + 5 cm) = 2 × (15 cm) = 30 cm.
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Tips for Perimeter & Area MCQs
- 1Read each question carefully and identify what is being asked before looking at the options.
- 2Try to solve the problem mentally or on paper first, then match your answer with the options.
- 3Use elimination — rule out clearly wrong options to improve your chances even when unsure.
- 4Check units, signs, and edge cases — these are common traps in Perimeter & Area MCQs.
- 5Review your mistakes after completing the test to build lasting understanding.
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