Test: Perimeter and Area - 2 - Class 6 MCQ

Step 1: Use the formula for the area of a square.

The formula for the area A of a square is:

A = side length × side length

Step 2: Solve for the side length.

To find the side length, take the square root of the area:

side length = √A = √81 = 9 meters

The length of one side of the square carpet is 9 meters.

Step 1: Use the formula for the perimeter of a triangle.

The perimeter P of a triangle is the sum of the lengths of its three sides:

P = Side 1 + Side 2 + Side 3

Step 2: Substitute the given values.

Substitute the given side lengths:

P = 3 + 4 + 5 = 12 cm

The perimeter of the triangle is 12 cm.

To calculate the area of the square field, we first need to find the length of one side. The formula for the perimeter P of a square is:

P = 4 × side length

Given:

Perimeter P = 120 m

We can solve for the side length:

side length = P/4 = 120/4 = 30 m

Now, to find the area A of the square, we use the formula:

A = side length²

Substitute the value of the side length:

A = 30² = 900 sq m

So, the area of the field is 900 square meters.

The area of a rectangle is calculated by multiplying its length and width.
Given:

• Area = 72 sq m
• Length = 12 m

The formula for area is:

Area = Length × Width

Substitute the given values:

72 = 12 × Width

Solve for Width:

Width = 72/12 = 6 m

So, the correct answer is A: 6 m.

Perimeter of a rectangle = 2 × (Length + Breadth).
Given 50 m = 2 × (15 m + Breadth).
Solving for Breadth, transposed 2 to L.H.S. , We get 

50/2 m = 15m + Breadth
25m = 15m + Breadth
10m = Breadth

Perimeter of a rectangle = 2 × (Length + Width).
Given 36 m = 2 × (10 m + Width).
Solving for Width, we get Width 
36/2m = 10m + Width
18m = 10m + Width
8m = Width

The perimeter of a square is calculated using the formula:

Perimeter = 4 × Side length

Given: Side length = 4 cm

Substitute the value into the formula:

Perimeter = 4 × 4 = 16 cm

So, the correct answer is C: 16 cm.

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.

The perimeter of a rectangle is given by the formula:

Perimeter = 2 × (Length + Breadth)

Given:

• Perimeter = 20 cm
• Length = 6 cm

Substitute the values into the formula:

20 = 2 × (6 + Breadth)

Divide both sides by 2:

10 = 6 + Breadth

Now, solve for Breadth:

Breadth = 10 − 6 = 4 cm

So, the correct answer is B: 4 cm.