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All questions of Perimeter and Area for Class 6 Exam
Akshi wants to put lace around a rectangular tablecloth that is 5 m long and 3 m wide. What is the length of the lace required?- a)15 m
- b)8 m
- c)10 m
- d)16 m
Correct answer is option 'D'. Can you explain this answer?
Akshi wants to put lace around a rectangular tablecloth that is 5 m long and 3 m wide. What is the length of the lace required?
a)
15 m
b)
8 m
c)
10 m
d)
16 m
 | Rahul Kumar answered |
The perimeter of the rectangle is calculated by adding the lengths of all sides. Perimeter = 2 × (Length + Width) = 2 × (5 m + 3 m) = 2 × 8 m = 16 m. So, the lace required is 16 m.
A square park has a side length of 50 m. What is the distance covered by Usha if she takes two rounds of the park?- a)100 m
- b)200 m
- c)400 m
- d)600 m
Correct answer is option 'C'. Can you explain this answer?
a)
100 m
b)
200 m
c)
400 m
d)
600 m
 | Dr Manju Sen answered |
The perimeter of a square is 4 × side length. Therefore, for one round, the distance is 4 × 50 m = 200 m. For two rounds, the distance is 200 m × 2 = 400 m.
The area of a rectangular sheet of paper is 20 cm2. Its length is 5 cm. Find its width.- a)1 cm
- b)2 cm
- c)3 cm
- d)4 cm.
Correct answer is option 'D'. Can you explain this answer?
The area of a rectangular sheet of paper is 20 cm2. Its length is 5 cm. Find its width.
a)
1 cm
b)
2 cm
c)
3 cm
d)
4 cm.
| | Dr Manju Sen answered |
Step 1: Use the formula for the area of a rectangle.
The formula for the area A of a rectangle is:
A = Length × Width
Step 2: Rearrange the formula to solve for the width.
The width can be calculated by:
Width = A / Length
Step 3: Substitute the given values.
Substitute the given area and length:
Width = 20 / 5 = 4 cm
The width of the sheet of paper is 4 cm.
The area of a rectangle is 50 sq m, and its width is 5 m. What is its length?- a)5 m
- b)10 m
- c)15 m
- d)25 m
Correct answer is option 'B'. Can you explain this answer?
a)
5 m
b)
10 m
c)
15 m
d)
25 m
 | Torcia Education answered |
Area of a rectangle = Length × Width. So, Length = Area / Width = 50 sq m / 5 m = 10 m.
If the perimeter of a rectangle is 36 m and the length is 10 m, what is the width?- a)4 m
- b)8 m
- c)6 m
- d)9 m
Correct answer is option 'B'. Can you explain this answer?
If the perimeter of a rectangle is 36 m and the length is 10 m, what is the width?
a)
4 m
b)
8 m
c)
6 m
d)
9 m
 | Shiksha Academy answered |
Perimeter of a rectangle = 2 × (Length + Width). Given 36 m = 2 × (10 m + Width). Solving for Width, we get Width = (36 m / 2) - 10 m = 6 m.
The perimeter of a square photo frame is 40 cm. What is the length of one side of the square?- a)5 cm
- b)10 cm
- c)20 cm
- d)40 cm
Correct answer is option 'B'. Can you explain this answer?
a)
5 cm
b)
10 cm
c)
20 cm
d)
40 cm
| | Dr Manju Sen answered |
The perimeter of a square is 4 × side length. Given perimeter = 40 cm. So, side length = 40 cm / 4 = 10 cm.
Toshi and Akshi run around two different rectangular tracks. Akshi’s track has a perimeter of 220 m, and she completes 5 rounds. What is the total distance she runs?- a)1100 m
- b)220 m
- c)440 m
- d)660 m
Correct answer is option 'A'. Can you explain this answer?
a)
1100 m
b)
220 m
c)
440 m
d)
660 m
 | Vp Classes answered |
Total distance run by Akshi = Number of rounds × Perimeter = 5 × 220 m = 1100 m.
A square garden has a side length of 20 m. What will be the area of the garden?- a)40 sq m
- b)400 sq m
- c)100 sq m
- d)200 sq m
Correct answer is option 'B'. Can you explain this answer?
a)
40 sq m
b)
400 sq m
c)
100 sq m
d)
200 sq m
| | Torcia Education answered |
The area of a square = Side length × Side length = 20 m × 20 m = 400 sq m.
The area of a rectangle is 72 sq m and its length is 12 m. What is the width?- a)6 m
- b)8 m
- c)9 m
- d)12 m
Correct answer is option 'A'. Can you explain this answer?
a)
6 m
b)
8 m
c)
9 m
d)
12 m
 | Gunjan Lakhani answered |
Area of a rectangle = Length × Width. Width = Area / Length = 72 sq m / 12 m = 6 m.
A rectangular garden has a perimeter of 60 m and a width of 10 m. What is the length of the garden?- a)10 m
- b)15 m
- c)20 m
- d)30 m
Correct answer is option 'C'. Can you explain this answer?
a)
10 m
b)
15 m
c)
20 m
d)
30 m
 | Coachify answered |
Perimeter of a rectangle = 2 × (Length + Width). Given 60 m = 2 × (Length + 10 m). Solving for Length, we get Length = (60 m / 2) - 10 m = 20 m.
A rectangle has a length of 15 m and a perimeter of 50 m. What is the breadth of the rectangle?- a)10 m
- b)5 m
- c)20 m
- d)25 m
Correct answer is option 'A'. Can you explain this answer?
A rectangle has a length of 15 m and a perimeter of 50 m. What is the breadth of the rectangle?
a)
10 m
b)
5 m
c)
20 m
d)
25 m
| | Shiksha Academy answered |
Perimeter of a rectangle = 2 × (Length + Breadth). Given 50 m = 2 × (15 m + Breadth). Solving for Breadth, we get Breadth = 25 m / 2 = 5 m.
A field is shaped like a square and has a perimeter of 120 m. What is the area of the field?- a)900 sq m
- b)1200 sq m
- c)3600 sq m
- d)14400 sq m
Correct answer is option 'A'. Can you explain this answer?
a)
900 sq m
b)
1200 sq m
c)
3600 sq m
d)
14400 sq m
 | Eduskill Classes answered |
Side length of the square = Perimeter / 4 = 120 m / 4 = 30 m. Area = Side length × Side length = 30 m × 30 m = 900 sq m.
What is the perimeter of a square with a side length of 4 cm?- a)8 cm
- b)12 cm
- c)16 cm
- d)20 cm
Correct answer is option 'C'. Can you explain this answer?
a)
8 cm
b)
12 cm
c)
16 cm
d)
20 cm
| | Shiksha Academy answered |
The perimeter of a square is calculated by multiplying the length of one side by 4. So, Perimeter = 4 × 4 cm = 16 cm.
If the perimeter of a rectangle is 20 cm and its length is 6 cm, what is its breadth?- a)2 cm
- b)4 cm
- c)6 cm
- d)8 cm
Correct answer is option 'B'. Can you explain this answer?
a)
2 cm
b)
4 cm
c)
6 cm
d)
8 cm
 | Rajveer Banerjee answered |
Understanding the Problem
To find the breadth of the rectangle given its perimeter and length, we start with the formula for the perimeter of a rectangle:
- Perimeter (P) = 2 * (Length + Breadth)
In this case, we know:
- Perimeter = 20 cm
- Length = 6 cm
Step-by-Step Calculation
1. Substituting the Known Values:
- Substitute the given values into the perimeter formula:
- 20 = 2 * (6 + Breadth)
2. Simplifying the Equation:
- Divide both sides by 2 to simplify:
- 10 = 6 + Breadth
3. Finding the Breadth:
- Rearranging the equation to solve for Breadth:
- Breadth = 10 - 6
- Breadth = 4 cm
Conclusion
Thus, the breadth of the rectangle is 4 cm.
Answer Options Recap
- a) 2 cm
- b) 4 cm (Correct answer)
- c) 6 cm
- d) 8 cm
This confirms that option 'B' is indeed the correct answer. By breaking down the problem step-by-step, we effectively determined the breadth of the rectangle.
To find the breadth of the rectangle given its perimeter and length, we start with the formula for the perimeter of a rectangle:
- Perimeter (P) = 2 * (Length + Breadth)
In this case, we know:
- Perimeter = 20 cm
- Length = 6 cm
Step-by-Step Calculation
1. Substituting the Known Values:
- Substitute the given values into the perimeter formula:
- 20 = 2 * (6 + Breadth)
2. Simplifying the Equation:
- Divide both sides by 2 to simplify:
- 10 = 6 + Breadth
3. Finding the Breadth:
- Rearranging the equation to solve for Breadth:
- Breadth = 10 - 6
- Breadth = 4 cm
Conclusion
Thus, the breadth of the rectangle is 4 cm.
Answer Options Recap
- a) 2 cm
- b) 4 cm (Correct answer)
- c) 6 cm
- d) 8 cm
This confirms that option 'B' is indeed the correct answer. By breaking down the problem step-by-step, we effectively determined the breadth of the rectangle.
A rectangle has a length of 7 m and a breadth of 5 m. What is the area of the rectangle?- a)12 sq m
- b)35 sq m
- c)24 sq m
- d)14 sq m
Correct answer is option 'B'. Can you explain this answer?
a)
12 sq m
b)
35 sq m
c)
24 sq m
d)
14 sq m
 | EduRev Class 6 answered |
Area of a rectangle = Length × Breadth = 7 m × 5 m = 35 sq m.
If the area of a square carpet is 81 sq m, what is the length of one side?- a)7 m
- b)8 m
- c)9 m
- d)10 m
Correct answer is option 'C'. Can you explain this answer?
a)
7 m
b)
8 m
c)
9 m
d)
10 m
| | Gunjan Lakhani answered |
The side length of the square = √Area = √81 sq m = 9 m.
A farmer has a rectangular field of length 150 m and breadth 100 m. He needs to fence it with 2 rounds of wire. What is the total length of wire required?- a)500 m
- b)1200 m
- c)600 m
- d)1000 m
Correct answer is option 'D'. Can you explain this answer?
A farmer has a rectangular field of length 150 m and breadth 100 m. He needs to fence it with 2 rounds of wire. What is the total length of wire required?
a)
500 m
b)
1200 m
c)
600 m
d)
1000 m
| | Coachify answered |
Perimeter of the rectangle = 2 × (Length + Breadth) = 2 × (150 m + 100 m) = 500 m. For 2 rounds, wire required = 2 × 500 m = 1000 m.
The perimeter of the figure
- a)20 cm
- b)10 cm
- c)24 cm
- d)15 cm
Correct answer is option 'A'. Can you explain this answer?
The perimeter of the figure
a)
20 cm
b)
10 cm
c)
24 cm
d)
15 cm
| | Shiksha Academy answered |
To find the perimeter of the given figure, we need to add the lengths of all the sides:
The sides are given as: 3 cm, 4 cm, 6 cm, 2 cm, 3 cm.
Now, add them together:
3 + 4 + 6 + 2 + 3 + 2 = 20 cm
The perimeter of the figure is 20 cm.
A triangle has sides of length 3 cm, 4 cm, and 5 cm. What is the perimeter of the triangle?- a)9 cm
- b)12 cm
- c)15 cm
- d)20 cm
Correct answer is option 'B'. Can you explain this answer?
a)
9 cm
b)
12 cm
c)
15 cm
d)
20 cm
| | EduRev Class 6 answered |
The perimeter of a triangle = sum of all its sides = 3 cm + 4 cm + 5 cm = 12 cm.
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