All questions of Mensuration for Class 6 Exam

To find the new perimeter of a square when its side is doubled, we need to first calculate the new side length of the square after doubling its original side length.

Given that the original side length of the square is 6 cm, we can find the new side length by multiplying the original side length by 2.

New side length = 6 cm * 2 = 12 cm

Now that we have the new side length, we can calculate the new perimeter of the square by multiplying the new side length by 4 (since a square has four equal sides).

New perimeter = 12 cm * 4 = 48 cm

Therefore, the correct answer is option A) 48 cm.

160cm square

• Perimeter of Rectangle = 2 × ( L + B )

• Area of Rectangle = L × B

C)2(l+b)

Here 's' is a variable. The formula of getting the perimeter of a square is 4× side length. You imagine that you have a square and its 1 side length is s unit, so the answer will be 4×s= 4s units.

Area of square =side ×side 2×2 4cm
area of rectangle=l×b so 3×2=6cm2
area of equilateral triangle=4×3=12cm2
so option c is correct

Given:
- The side of the square is 8 cm.
To find:
- The new perimeter when the side is doubled.
Calculation:
1. The perimeter of a square is given by the formula: P = 4s, where s is the length of a side.
2. The given square has a side length of 8 cm, so its initial perimeter is P = 4(8) = 32 cm.
3. When the side length is doubled, the new side length becomes 2 * 8 = 16 cm.
4. The new perimeter is then given by P = 4(16) = 64 cm.
Answer:
The new perimeter of the square, when its side is doubled, is 64 cm. Therefore, the correct answer is option D.

Given, Perimeter of the square = 100 cm

Let the side of the square be 'a' cm.

Perimeter of square = 4 × Side

So, 4 × a = 100

Simplifying the above equation, we get:

a = 25 cm

Therefore, the side of the square is 25 cm.

Hence, option B is the correct answer.

Answer is 2520m option B

The formula for the perimeter of a rectangle is
2 × length + breadth.

To find the perimeter of a square, we need to multiply the length of one side by 4, as all sides of a square are equal in length.
The formula for the perimeter of a square is:
Perimeter = 4 * Length of a side
Step-by-step solution:
1. Identify the formula for the perimeter of a square: Perimeter = 4 * Length of a side.
2. The question states that the length of a side is multiplied by the perimeter to find the perimeter of a square.
3. We need to choose the option that correctly represents the formula for finding the perimeter of a square.
4. Option A: 4. This option correctly represents the formula for the perimeter of a square, as it shows that the perimeter is equal to 4 times the length of a side.
5. Option B: 3. This option does not represent the correct formula for finding the perimeter of a square. It is incorrect.
6. Option C: 2. This option does not represent the correct formula for finding the perimeter of a square. It is incorrect.
7. Option D: None of these. This option does not represent the correct formula for finding the perimeter of a square. It is incorrect.
8. Therefore, the correct answer is option A: 4.
Answer: A. 4

Yes becoz as we know equilateral triangle have all equal sides so .....it is a...ot has 3 side then a+a+a=3a

B. It's Perimeter

Given, Perimeter of square =44 cm
We know perimeter of square =4a

where ′a′ is side of square

4a÷44=11

Area of square = 44 x 44

Area = 121 cm2
Area will be 121 cm²

Perimeter

Area

Given,
Equal sides of an isosceles triangle = 8 cm each
Third side = 6 cm

To find: Perimeter of the triangle

Explanation:
The perimeter of a triangle is the sum of the lengths of all its sides.

In an isosceles triangle, two sides are equal in length.
Therefore, the perimeter of an isosceles triangle with equal sides of length 8 cm each and the third side of length 6 cm can be calculated as follows:

Perimeter = Sum of all sides
Perimeter = 8 cm + 8 cm + 6 cm
Perimeter = 22 cm

Therefore, the perimeter of the given isosceles triangle is 22 cm.

Hence, the correct answer is option B.

2p+q

Understanding the Room Dimensions
To determine how many tiles Bob needs, we first need to calculate the area of the room. The room has dimensions of 3 meters in width and 4 meters in length.
- Area of the Room:
- Area = Width x Length
- Area = 3 m x 4 m = 12 square meters
Calculating the Tile Dimensions
Next, we look at the dimensions of each square tile. Each tile has a side length of 0.5 meters.
- Area of One Tile:
- Area = Side x Side
- Area = 0.5 m x 0.5 m = 0.25 square meters
Determining the Number of Tiles
Now, we can find out how many tiles are required to cover the total area of the room.
- Total Number of Tiles Needed:
- Total Tiles = Area of the Room / Area of One Tile
- Total Tiles = 12 square meters / 0.25 square meters = 48 tiles
Conclusion
Bob will need a total of 48 tiles to cover the floor of the room completely. Therefore, the correct answer is option 'C'.

Equaletral triangle

The area occupied by the wooden planks can be calculated by multiplying the length and breadth of the arrangement. Given that each wooden plank measures 6 m in length and 3 m in breadth, we can determine the area occupied by five such wooden planks arranged in order as follows:

1. Calculate the area of a single wooden plank:
- Length = 6 m
- Breadth = 3 m
- Area = Length x Breadth = 6 m x 3 m = 18 sq. m

2. Determine the total area occupied by five wooden planks:
- As we have five wooden planks arranged in order, the total area would be the sum of the areas of each individual plank.
- Total area = 18 sq. m (area of a single plank) x 5 (number of planks) = 90 sq. m

Therefore, the area occupied by five wooden planks arranged in order is 90 square meters.

So, the correct answer is option B: 90 sq. m.

20

**Area: The Amount of Surface Enclosed by a Closed Figure**

**Introduction**
When we talk about a closed figure, we are referring to a shape that has no openings or holes in it. Examples of closed figures include circles, squares, rectangles, triangles, and many more. The amount of surface enclosed by these closed figures is called the area. It is a fundamental concept in geometry and represents the two-dimensional space within the boundaries of the shape.

**Definition of Area**
The area of a closed figure is the measure of the surface enclosed by its boundaries. It is expressed in square units, such as square centimeters (cm²), square inches (in²), or square meters (m²). The area provides information about the size of a shape, and it helps us compare and analyze different figures.

**Calculation of Area**
The method to calculate the area varies depending on the shape of the closed figure. Here are some formulas commonly used to find the area of different shapes:

1. Square: The area of a square is given by the formula A = side × side, where A represents the area and side represents the length of one side of the square.

2. Rectangle: The area of a rectangle is calculated as A = length × width, where A is the area, length is the length of the rectangle, and width is the width of the rectangle.

3. Circle: The area of a circle is determined using the formula A = πr², where A represents the area, π (pi) is a mathematical constant approximately equal to 3.14159, and r is the radius of the circle.

4. Triangle: The area of a triangle can be found using the formula A = ½ × base × height, where A is the area, base is the length of the base of the triangle, and height is the perpendicular distance from the base to the opposite vertex.

**Importance of Area**
Understanding the concept of area is crucial in various real-life scenarios. For instance:

1. Construction: Architects and builders need to calculate the area of rooms, floors, and land to plan and estimate resources accurately.

2. Agriculture: Farmers need to determine the area of their fields to manage irrigation, fertilizers, and crop yield.

3. Art and Design: Artists and designers consider the area of different elements to create visually appealing compositions.

4. Geometry and Mathematics: Area is a fundamental concept in geometry and plays a significant role in solving problems involving shapes and figures.

In conclusion, the amount of surface enclosed by a closed figure is referred to as the area. It is a measure of the two-dimensional space within the boundaries of a shape. The calculation of area varies depending on the shape, and it is expressed in square units. Understanding the concept of area is essential in various practical applications and mathematical contexts.