Perimeter - Grade 5 Maths Questions With Answers

Grade 5 maths multiple-choice questions on geometry and perimeter are presented along with detailed step-by-step solutions and explanations.

Questions and Step-by-Step Solutions

  1. Question 1: Figure B is inside figure A shown below. Which statement is correct?

    perimeter, question 1

    1. The perimeter of A is equal to the perimeter of B
    2. The perimeter of A is smaller than the perimeter of B
    3. The perimeter of A is larger than the perimeter of B
    4. cannot answer the question
    ► View Step-by-Step Solution

    Since figure B is completely enclosed inside figure A, the outer boundary length (perimeter) of A is larger than that of B.

    Therefore, option C is correct.

  2. Question 2: Find the perimeter of the rectangle shown below.

    perimeter, question 2

    1. 21 cm
    2. 108 cm
    3. 216 cm
    4. 42 cm
    ► View Step-by-Step Solution

    The perimeter of a rectangle is equal to twice its length plus twice its width.
    \[ 2 \times 12 + 2 \times 9 = 24 + 18 = 42\text{ cm} \]

    Therefore, option D is correct.

  3. Question 3: Find the perimeter of the square shown below.

    perimeter, question 3

    1. 60 m
    2. 225 m
    3. 120 m
    4. 30 m
    ► View Step-by-Step Solution

    The perimeter of a square is equal to 4 times the side length:
    \[ 15 + 15 + 15 + 15 = 4 \times 15 = 60\text{ cm} \]

    Therefore, option A is correct.

  4. Question 4: Find the perimeter of the shape below.

    perimeter, question 4

    1. 42 mm
    2. 70 mm
    3. 180 mm
    4. 56 mm
    ► View Step-by-Step Solution

    First, find the missing sides:
    Right side = \(12 - 7 = 5\text{ mm}\)
    Bottom side = \(15 + 8 = 23\text{ mm}\)
    Calculate the perimeter by adding all outer sides:
    \[ P = 15 + 7 + 8 + 5 + 23 + 12 = 70\text{ mm} \]

    Therefore, option B is correct.

  5. Question 5: What is the perimeter of the parallelogram shown below?

    perimeter, question 5

    1. 120 feet
    2. 3,500 feet
    3. 7,000 feet
    4. 240 feet
    ► View Step-by-Step Solution

    A parallelogram has opposite sides equal in length. Adding all 4 sides:
    \[ 50 + 70 + 50 + 70 = 2 \times 50 + 2 \times 70 = 240\text{ feet} \]

    Therefore, option D is correct.

  6. Question 6: What is the perimeter of an equilateral triangle of side 20 cm?

    1. 80 cm
    2. 60 cm
    3. 400 cm
    4. 40 cm
    ► View Step-by-Step Solution

    An equilateral triangle has all 3 sides equal. Its perimeter is 3 times the side length:
    \[ 3 \times 20 = 60\text{ cm} \]

    Therefore, option B is correct.

  7. Question 7: A plane figure has 5 congruent sides (same size). The perimeter of this figure is equal to 600 meters. Find the length of one side of this figure.

    1. 120 centimeters
    2. 3000 meters
    3. 120 meters
    4. 150 meters
    ► View Step-by-Step Solution

    Divide the total perimeter by the number of congruent sides (5):
    \[ 600 \div 5 = 120\text{ meters} \]

    Therefore, option C is correct.

  8. Question 8: In the figure below, a large rectangle has a length of 60 meters and a width of 20 meters. A smaller rectangle has a length of 30 meters and width of 20 meters. Which statement is correct?

    perimeter, question 8

    1. The perimeter of the large rectangle is twice the perimeter of the small rectangle.
    2. The perimeter of the large rectangle is equal to the perimeter of the small rectangle.
    3. The perimeter of the large rectangle is 30 meters more than the perimeter of the small rectangle.
    4. The perimeter of the large rectangle is equal to 160 meters and the perimeter of the small rectangle is equal to 100 meters.
    ► View Step-by-Step Solution

    Perimeter of large rectangle (\(P_1\)) = \(60 + 20 + 60 + 20 = 160\text{ m}\).
    Perimeter of small rectangle (\(P_2\)) = \(30 + 20 + 30 + 20 = 100\text{ m}\).

    Therefore, option D is correct.

  9. Question 9: The perimeter of a square is equal to 88 feet. What is the length of the side of this square?

    1. 22 feet
    2. 44 feet
    3. 11 feet
    4. 352 feet
    ► View Step-by-Step Solution

    Divide the perimeter of the square by 4:
    \[ 88 \div 4 = 22\text{ feet} \]

    Therefore, option A is correct.

  10. Question 10: The perimeter of the square is twice the perimeter of the triangle. What is the length of the side of the square?

    perimeter, question 10

    1. 15 in
    2. 7.5 in
    3. 60 in
    4. 30 in
    ► View Step-by-Step Solution

    Perimeter of the triangle = \(11 + 9 + 10 = 30\text{ in}\).
    Perimeter of the square = \(2 \times 30 = 60\text{ in}\).
    Length of one side of the square = \(60 \div 4 = 15\text{ in}\).

    Therefore, option A is correct.

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