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All questions of Perimeter and Area for Class 6 Exam
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.
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 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
|
Maitri Bajaj answered |
Understanding the Park's Dimensions
The park is a square, which means all four sides are equal. Given that the side length is 50 m, we can calculate the perimeter.
Calculating the Perimeter
The perimeter (P) of a square can be calculated using the formula:
P = 4 × side length
Substituting the given side length:
P = 4 × 50 m = 200 m
This means that one complete round around the park covers 200 meters.
Calculating the Total Distance for Two Rounds
To find the distance covered by Usha when she takes two rounds, we simply multiply the perimeter by 2:
Total Distance = 2 × Perimeter
Substituting the perimeter we calculated earlier:
Total Distance = 2 × 200 m = 400 m
Thus, Usha would cover a total distance of 400 meters after completing two rounds around the park.
Conclusion
The correct answer is option 'C', which states that the distance covered by Usha is 400 m.
The park is a square, which means all four sides are equal. Given that the side length is 50 m, we can calculate the perimeter.
Calculating the Perimeter
The perimeter (P) of a square can be calculated using the formula:
P = 4 × side length
Substituting the given side length:
P = 4 × 50 m = 200 m
This means that one complete round around the park covers 200 meters.
Calculating the Total Distance for Two Rounds
To find the distance covered by Usha when she takes two rounds, we simply multiply the perimeter by 2:
Total Distance = 2 × Perimeter
Substituting the perimeter we calculated earlier:
Total Distance = 2 × 200 m = 400 m
Thus, Usha would cover a total distance of 400 meters after completing two rounds around the park.
Conclusion
The correct answer is option 'C', which states that the distance covered by Usha is 400 m.
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 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.
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.
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
|
Abhay Datta answered |
Understanding the Problem
To find the length of the rectangular garden, we need to use the given information:
- Perimeter = 60 m
- Width = 10 m
Formula for Perimeter
The formula for the perimeter (P) of a rectangle is:
- P = 2 * (Length + Width)
Substituting the Known Values
We can substitute the known values into the perimeter formula:
- 60 = 2 * (Length + 10)
Simplifying the Equation
1. Divide both sides by 2:
- 30 = Length + 10
2. Now, isolate Length:
- Length = 30 - 10
Calculating the Length
- Length = 20 m
Conclusion
Based on the calculations, the length of the garden is 20 m.
Thus, the correct answer is option 'C'.
To find the length of the rectangular garden, we need to use the given information:
- Perimeter = 60 m
- Width = 10 m
Formula for Perimeter
The formula for the perimeter (P) of a rectangle is:
- P = 2 * (Length + Width)
Substituting the Known Values
We can substitute the known values into the perimeter formula:
- 60 = 2 * (Length + 10)
Simplifying the Equation
1. Divide both sides by 2:
- 30 = Length + 10
2. Now, isolate Length:
- Length = 30 - 10
Calculating the Length
- Length = 20 m
Conclusion
Based on the calculations, the length of the garden is 20 m.
Thus, the correct answer is option 'C'.
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 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.
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 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
|
|
Rahul Kumar answered |
Perimeter of a rectangle = 2 × (Length + Breadth). Given 20 cm = 2 × (6 cm + Breadth). Solving for Breadth, Breadth = (20 cm / 2) - 6 cm = 4 cm.
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.
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.
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.
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.
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.
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.
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.
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.
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