Worksheet: Perimeter of Various Shapes | Mathematics Olympiad Class 4 PDF Download

Multiple Choice Questions

Q1: What does the perimeter of a shape represent?
(a) Area enclosed by the shape
(b) Length of the longest side
(c) Sum of all side lengths
(d) Width of the shape
Ans: (c)
The perimeter of a shape is the total length of its sides.

Q2: Which formula is used to calculate the perimeter of a square?
(a) Perimeter = length × width
(b) Perimeter = 2 × (length + width)
(c) Perimeter = 4 × length
(d) Perimeter = 2 × length + 2 × width
Ans: (c)
The perimeter of a square is calculated by adding the length of all its sides.

Q3: What is the perimeter formula of a rectangle?
(a) Perimeter = length × width
(b) Perimeter = 2 × (length + width)
(c) Perimeter = 4 × length
(d) Perimeter = 2 × length + 2 × width
Ans: (b)
The perimeter of a rectangle is equal to twice the sum of its length and width.

Q4: How is the perimeter of a triangle calculated?
(a) Sum of all three sides
(b) Length × width × height
(c) Base × height
(d) Diagonal × diagonal
Ans: (a)
The perimeter of a triangle is found by adding the lengths of all three sides.

Q5: What is the perimeter formula of a parallelogram with sides mentioned?
(a) Perimeter = 2 × (side1 + side2)
(b) Perimeter = 4 × side
(c) Perimeter = side1 + side2 + side3 + side4
(d) Perimeter = side × height
Ans: (a)
The perimeter of a parallelogram with sides mentioned is calculated by adding the lengths of the two adjacent sides.

Short Questions

Q1: Explain the formula for calculating the perimeter of a circle.
Ans: The formula for calculating the perimeter of a circle is Perimeter = 2 × π × radius or Perimeter = π × diameter. The perimeter represents the circumference of the circle, which is the distance around it. The constant π (pi) is approximately 3.142.

Q2: How can you calculate the perimeter of a rhombus when the angles are given?
Ans: When the angles of a rhombus are given, the perimeter can be calculated using the formula Perimeter = 2 × √(d1^2 + d2^2), where d1 and d2 are the lengths of the diagonals. By substituting the given values of the angles, the perimeter can be determined.

Q3: What is the perimeter formula for irregular polygons?
Ans: The perimeter formula for irregular polygons is obtained by adding the lengths of all the sides. For irregular polygons, there is no specific formula as the side lengths may vary.

Q4: Find the perimeter of a square with a side length of 5 units.
Ans: The perimeter of a square with a side length of 5 units is calculated as follows:
Perimeter = 4 × side
Perimeter = 4 × 5
Perimeter = 20 units

Q5: Calculate the perimeter of a rectangle with a length of 8 units and a width of 4 units.
Ans: The perimeter of a rectangle with a length of 8 units and a width of 4 units is calculated as follows:
Perimeter = 2 × (length + width)
Perimeter = 2 × (8 + 4)
Perimeter = 2 × 12
Perimeter = 24 units

Fill in the Blanks

1. The perimeter formula of a square can be given as, Perimeter of a Square, (P) = ________ × Side units.
Ans: 4

2. The formula for the perimeter or circumference of a circle is Perimeter of a Circle = _____ × r.
Ans: 2π

3. The perimeter formula of a rhombus (with sides) is P = ______, where a is the length of the sides.
Ans: 4a

4. The perimeter formula of a trapezoid is P = Sum of all sides = ________, where a, b, c, and d are the lengths of the sides.
Ans: a + b + c + d

5. The perimeter formula of a kite is P = ______, where a and b are the lengths of the two pairs of kites.
Ans: 2(a + b)

Match the Column

Match the shapes in Column A with their corresponding perimeter formulas in Column B.

Ans:

True or False

1. The perimeter formula of a rectangle is 2(l + b). True/False
Ans: True

2. The perimeter formula of a triangle is the sum of all three sides. True/False
Ans: True

3. The perimeter formula of a parallelogram depends on the sum of all sides that are equal. True/False
Ans: False

4. he perimeter formula of a circle is 2πr. True/False
Ans: True

5. The perimeter formula of a rhombus (with angles) is P = 2√(d1)2+(d2)2. True/False
Ans: True