Test: Perimeter and Area - 1 - Class 6 MCQ

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.

Given that a square park has a side length of 50 meters, we need to calculate the distance covered by Usha if she takes two rounds of the park.

Step 1: Find the perimeter of the square park.

The formula for the perimeter of a square is:

P = 4 × side length

Substitute the given value for the side length:

P = 4 × 50 = 200 meters

Step 2: Calculate the total distance covered in two rounds.

If Usha takes two rounds, the total distance covered is:

Total distance = 2 × 200 = 400 meters

Given that the perimeter of a square photo frame is 40 cm, we need to calculate the length of one side of the square.

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

The formula for the perimeter P of a square is:

P = 4 × side length

Rearranging the formula to find the side length:

side length = P / 4

Step 2: Substitute the given perimeter.

Substitute the given perimeter value:

side length = 40 / 4 = 10 cm

The length of one side of the square photo frame is 10 cm.

Given that a rectangular garden has a perimeter of 60 meters and a width of 10 meters, we need to calculate the length of the garden.

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

The formula for the perimeter P of a rectangle is:

P = 2 × (Length + Width)

Rearranging the formula to find the length:

Length = (P / 2) - Width

Step 2: Substitute the given values.

Substitute the given perimeter and width:

Length = (60 / 2) - 10 = 30 - 10 = 20 meters

Step 1: Find the perimeter of the rectangular field

The formula for the perimeter (P) of a rectangle is:

P = 2 × (Length + Breadth)

Substitute the given values:

P = 2 × (150 + 100) = 2 × 250 = 500 meters

Step 2: Calculate the total length of wire for 2 rounds

The total length of wire required for 2 rounds is:

Total wire = 2 × 500 = 1000 meters

The total length of wire required is 1000 meters.

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: Substitute the given value for the side length.

Substitute the given side length into the formula:

A = 20 × 20 = 400 sq m

The area of the garden is 400 square meters.

Area of the rectangle = 50 sq m
Width of the rectangle = 5 m
Length of the rectangle = ?
Formula:
Area = Length × Width
Rearranging to find the length:
Length = Area/Width
Substitution:
Length = 50/5 = 10 m

Given:

• Perimeter of Akshi's track = 220 m
• Number of rounds = 5

The total distance Akshi runs is:

Total distance = Perimeter × Number of rounds

Substitute the values:

Total distance = 220 × 5 = 1100 m

So, the total distance Akshi runs is 1100 meters.

The perimeter of a polygon is the sum of the lengths of all its sides.

Since this is a pentagon with 5 sides, and each side is 2 cm, the perimeter is:

Perimeter = 5 × 2 = 10 cm

The perimeter of the figure is 10 cm.

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.