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All questions of Perimeter and Area of Plane Figures for Class 6 Exam
Which of the following is a unit conversion from meters to centimeters?- a) Divide by 100
- b) Divide by 10
- c) Multiply by 10
- d) Multiply by 100
Correct answer is option 'D'. Can you explain this answer?
Which of the following is a unit conversion from meters to centimeters?
a)
Divide by 100
b)
Divide by 10
c)
Multiply by 10
d)
Multiply by 100
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Get Idea answered |
To convert meters to centimeters, you multiply by 100 because there are 100 centimeters in one meter.
What is the area of a rectangle that is 8 cm long and 3 cm wide?- a) 30 cm²
- b) 11 cm²
- c) 20 cm²
- d) 24 cm²
Correct answer is option 'D'. Can you explain this answer?
What is the area of a rectangle that is 8 cm long and 3 cm wide?
a)
30 cm²
b)
11 cm²
c)
20 cm²
d)
24 cm²
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Manoj Iyer answered |
Understanding the Area of a Rectangle
To find the area of a rectangle, you can use the formula:
Area = Length × Width
This formula allows us to calculate how much space is contained within the rectangle.
Given Dimensions
- Length = 8 cm
- Width = 3 cm
Calculating the Area
Now, plug the given values into the area formula:
- Area = 8 cm × 3 cm
Step-by-Step Calculation
1. Multiply the length by the width:
- 8 cm × 3 cm = 24 cm²
Interpreting the Result
- The area of the rectangle is 24 cm², which means it covers a space of 24 square centimeters.
Conclusion
Therefore, the correct answer to the question is option 'D', which states that the area is 24 cm². This demonstrates the importance of understanding the area calculation in geometry, especially for practical applications such as finding space for furniture or land measurement.
To find the area of a rectangle, you can use the formula:
Area = Length × Width
This formula allows us to calculate how much space is contained within the rectangle.
Given Dimensions
- Length = 8 cm
- Width = 3 cm
Calculating the Area
Now, plug the given values into the area formula:
- Area = 8 cm × 3 cm
Step-by-Step Calculation
1. Multiply the length by the width:
- 8 cm × 3 cm = 24 cm²
Interpreting the Result
- The area of the rectangle is 24 cm², which means it covers a space of 24 square centimeters.
Conclusion
Therefore, the correct answer to the question is option 'D', which states that the area is 24 cm². This demonstrates the importance of understanding the area calculation in geometry, especially for practical applications such as finding space for furniture or land measurement.
What is the formula for calculating the perimeter of a rectangle?- a) Perimeter = 2 × (length + breadth)
- b) Perimeter = length - breadth
- c) Perimeter = length × breadth
- d) Perimeter = length + breadth
Correct answer is option 'A'. Can you explain this answer?
What is the formula for calculating the perimeter of a rectangle?
a)
Perimeter = 2 × (length + breadth)
b)
Perimeter = length - breadth
c)
Perimeter = length × breadth
d)
Perimeter = length + breadth
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Get Idea answered |
The perimeter of a rectangle is calculated using the formula P = 2 × (l + b), where l is the length and b is the breadth. This formula accounts for both pairs of equal sides, providing the total distance around the rectangle.
If the length of a rectangle is halved and the breadth remains unchanged, how does the area change?- a) It doubles
- b) It remains the same
- c) It is halved
- d) It quadruples
Correct answer is option 'C'. Can you explain this answer?
If the length of a rectangle is halved and the breadth remains unchanged, how does the area change?
a)
It doubles
b)
It remains the same
c)
It is halved
d)
It quadruples
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Get Idea answered |
If the length is halved while the breadth remains the same, the area A = l × b will also be halved, since one factor in the product is reduced by half.
A shape has a perimeter of 24 cm and consists of two equal sides of 6 cm each. What is the length of the remaining side?- a) 10 cm
- b) 6 cm
- c) 12 cm
- d) 4 cm
Correct answer is option 'C'. Can you explain this answer?
A shape has a perimeter of 24 cm and consists of two equal sides of 6 cm each. What is the length of the remaining side?
a)
10 cm
b)
6 cm
c)
12 cm
d)
4 cm
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Get Idea answered |
The total perimeter is the sum of all sides. Since there are two equal sides of 6 cm each, the equation is 6 + 6 + x = 24. Thus, x = 24 - 12 = 12 cm.
If the length of a square is doubled, how does its area change?- a) It remains the same
- b) It doubles
- c) It quadruples
- d) It triples
Correct answer is option 'C'. Can you explain this answer?
If the length of a square is doubled, how does its area change?
a)
It remains the same
b)
It doubles
c)
It quadruples
d)
It triples
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Get Idea answered |
If the length of a square is doubled, the area increases by a factor of four. This is because area is proportional to the square of the side length; doubling the side length results in (2s)² = 4s².
What is the perimeter of a square whose side length is 5 m?- a) 20 m
- b) 10 m
- c) 15 m
- d) 25 m
Correct answer is option 'A'. Can you explain this answer?
What is the perimeter of a square whose side length is 5 m?
a)
20 m
b)
10 m
c)
15 m
d)
25 m
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Get Idea answered |
The perimeter of a square is given by P = 4 × s. For a side length of 5 m, P = 4 × 5 = 20 m.
What unit is used to measure area?- a) Kilometers (km)
- b) Square meters (m²)
- c) Meters (m)
- d) Centimeters (cm)
Correct answer is option 'B'. Can you explain this answer?
What unit is used to measure area?
a)
Kilometers (km)
b)
Square meters (m²)
c)
Meters (m)
d)
Centimeters (cm)
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Get Idea answered |
Area is measured in square units such as square meters (m²), square centimeters (cm²), or square kilometers (km²). This indicates the extent of a two-dimensional surface.
Which of the following shapes can have the same perimeter but different areas?- a) Circle
- b) Square
- c) Rectangle
- d) Triangle
Correct answer is option 'C'. Can you explain this answer?
Which of the following shapes can have the same perimeter but different areas?
a)
Circle
b)
Square
c)
Rectangle
d)
Triangle
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Get Idea answered |
Different shapes, such as rectangles, can have the same perimeter but different areas because area depends on the dimensions of the shape, whereas perimeter only considers the total boundary length.
If a rectangle's area is 36 cm² and its length is 9 cm, what is its breadth?- a) 6 cm
- b) 4 cm
- c) 8 cm
- d) 2 cm
Correct answer is option 'B'. Can you explain this answer?
If a rectangle's area is 36 cm² and its length is 9 cm, what is its breadth?
a)
6 cm
b)
4 cm
c)
8 cm
d)
2 cm
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Get Idea answered |
The area A = l × b gives us 36 = 9 × b. Solving for b gives b = 36 / 9 = 4 cm.
A rectangle has a perimeter of 40 m and a length of 12 m. What is its breadth?- a) 8 m
- b) 14 m
- c) 12 m
- d) 10 m
Correct answer is option 'A'. Can you explain this answer?
A rectangle has a perimeter of 40 m and a length of 12 m. What is its breadth?
a)
8 m
b)
14 m
c)
12 m
d)
10 m
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Get Idea answered |
Using the formula for perimeter, P = 2 × (l + b): 40 = 2 × (12 + b) So, 20 = 12 + b Thus, b = 20 - 12 = 8 m.
Which of the following statements about area and perimeter is true?- a) Both area and perimeter are always the same for any given shape.
- b) Perimeter cannot be calculated for irregular shapes.
- c) Area depends only on the shape, while perimeter depends only on the length of the sides.
- d) Area is a measure of the space inside a shape, while perimeter measures the boundary length.
Correct answer is option 'D'. Can you explain this answer?
Which of the following statements about area and perimeter is true?
a)
Both area and perimeter are always the same for any given shape.
b)
Perimeter cannot be calculated for irregular shapes.
c)
Area depends only on the shape, while perimeter depends only on the length of the sides.
d)
Area is a measure of the space inside a shape, while perimeter measures the boundary length.
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Get Idea answered |
The area measures the space enclosed within a shape, while the perimeter measures the total length around the boundary. This distinction is crucial in geometry, as each concept serves different applications in real-world scenarios.
How many square centimeters are in 1 square meter?- a) 10,000 cm²
- b) 1,000,000 cm²
- c) 100 cm²
- d) 1000 cm²
Correct answer is option 'A'. Can you explain this answer?
How many square centimeters are in 1 square meter?
a)
10,000 cm²
b)
1,000,000 cm²
c)
100 cm²
d)
1000 cm²
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Get Idea answered |
There are 10,000 square centimeters in 1 square meter because 1 m = 100 cm, so 1 m² = (100 cm) × (100 cm) = 10,000 cm².
How do you calculate the area of a rectangle?- a) Length + Breadth
- b) (Length + Breadth) × 2
- c) Length × Breadth
- d) Length - Breadth
Correct answer is option 'C'. Can you explain this answer?
How do you calculate the area of a rectangle?
a)
Length + Breadth
b)
(Length + Breadth) × 2
c)
Length × Breadth
d)
Length - Breadth
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Get Idea answered |
The area of a rectangle is calculated using the formula A = l × b, where l is the length and b is the breadth. This formula gives the total space enclosed within the rectangle.
What is the area of a triangle with a base of 10 cm and a height of 5 cm?- a) 50 cm²
- b) 25 cm²
- c) 30 cm²
- d) 15 cm²
Correct answer is option 'B'. Can you explain this answer?
What is the area of a triangle with a base of 10 cm and a height of 5 cm?
a)
50 cm²
b)
25 cm²
c)
30 cm²
d)
15 cm²
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Get Idea answered |
The area of a triangle is calculated as A = ½ × base × height. Thus, A = ½ × 10 × 5 = 25 cm².
What is the area of a square with a side length of 4 cm?- a) 16 cm²
- b) 20 cm²
- c) 12 cm²
- d) 8 cm²
Correct answer is option 'A'. Can you explain this answer?
What is the area of a square with a side length of 4 cm?
a)
16 cm²
b)
20 cm²
c)
12 cm²
d)
8 cm²
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Get Idea answered |
The area of a square is calculated using the formula A = s², where s is the side length. For a side length of 4 cm, A = 4 × 4 = 16 cm².
What is the perimeter of a triangle with side lengths of 7 cm, 5 cm, and 3 cm?- a) 10 cm
- b) 12 cm
- c) 20 cm
- d) 15 cm
Correct answer is option 'D'. Can you explain this answer?
What is the perimeter of a triangle with side lengths of 7 cm, 5 cm, and 3 cm?
a)
10 cm
b)
12 cm
c)
20 cm
d)
15 cm
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Get Idea answered |
The perimeter is the sum of all sides: 7 + 5 + 3 = 15 cm.
If the perimeter of a triangle is 15 cm and its sides are 5 cm, 5 cm, and x cm, what is the value of x?- a) 20 cm
- b) 10 cm
- c) 15 cm
- d) 5 cm
Correct answer is option 'D'. Can you explain this answer?
If the perimeter of a triangle is 15 cm and its sides are 5 cm, 5 cm, and x cm, what is the value of x?
a)
20 cm
b)
10 cm
c)
15 cm
d)
5 cm
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Get Idea answered |
For the triangle with sides 5 cm, 5 cm, and x cm, the perimeter is given as 15 cm. Therefore, 5 + 5 + x = 15. Solving for x gives x = 15 - 10 = 5 cm. This indicates that it is an equilateral triangle.
If a rectangle has a length of 10 m and a breadth of 5 m, what is its perimeter?- a) 20 m
- b) 30 m
- c) 25 m
- d) 15 m
Correct answer is option 'B'. Can you explain this answer?
If a rectangle has a length of 10 m and a breadth of 5 m, what is its perimeter?
a)
20 m
b)
30 m
c)
25 m
d)
15 m
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Get Idea answered |
The perimeter can be calculated using the formula P = 2 × (l + b). Substituting the values gives P = 2 × (10 + 5) = 2 × 15 = 30 m.
For which shape does the formula P = 4 × s apply?- a) Triangle
- b) Square
- c) Rectangle
- d) Parallelogram
Correct answer is option 'B'. Can you explain this answer?
For which shape does the formula P = 4 × s apply?
a)
Triangle
b)
Square
c)
Rectangle
d)
Parallelogram
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Get Idea answered |
The formula P = 4 × s is used to find the perimeter of a square, where s represents the length of one side. This is because all four sides of a square are equal in length.
Chapter doubts & questions for Perimeter and Area of Plane Figures - Mathematics Class 6 ICSE 2025 is part of Class 6 exam preparation. The chapters have been prepared according to the Class 6 exam syllabus. The Chapter doubts & questions, notes, tests & MCQs are made for Class 6 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests here.
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