Perimeter and Area — Quiz

Q1. Why is the perimeter of a rectangle written as 2 × (length + breadth) instead of 4 × length?

• A. Because the opposite sides of a rectangle are equal, so there are two sides of length and two of breadth
• B. Because all four sides of a rectangle are equal in length
• C. Because the length is always twice the breadth in a rectangle
• D. Because only two of the four sides are counted in a rectangle

Q2. The perimeter of a rectangle is 14 cm and its breadth is 2 cm. What is its length?

• A. 3 cm
• B. 4 cm
• C. 5 cm
• D. 7 cm

Q3. The perimeter of a square is 20 cm. What is the length of one of its sides?

• A. 4 cm
• B. 5 cm
• C. 10 cm
• D. 16 cm

Q4. The perimeter of a triangle is 55 cm. Two of its sides have lengths 20 cm and 14 cm. What is the length of the third side?

• A. 17 cm
• B. 19 cm
• C. 20 cm
• D. 21 cm

Q5. A piece of string 36 cm long is used to form a regular hexagon (six sides, all equal). What will be the length of each side?

• A. 4 cm
• B. 5 cm
• C. 6 cm
• D. 9 cm

Q6. Which of the following is the general rule for the perimeter of any regular polygon?

• A. Number of sides × length of one side
• B. Number of sides + length of one side
• C. Number of sides ÷ length of one side
• D. Number of sides − length of one side

Q7. Akshi wants to put lace all around a rectangular tablecloth that is 3 m long and 2 m wide. What length of lace does she need?

• A. 5 m
• B. 10 m
• C. 6 m
• D. 12 m

Q8. Usha takes three full rounds of a square park whose side is 75 m. What total distance does she travel?

• A. 75 m
• B. 300 m
• C. 900 m
• D. 225 m

Q9. On a dot grid, the perimeter of a figure is written as "6s + 3d units". What do s and d stand for?

• A. Square sides and dot spacings
• B. Straight unit and decimal unit
• C. Side and diameter
• D. Straight (horizontal/vertical) unit and diagonal unit

Q10. On the dot grid, how does the length of a diagonal unit (d) compare with the length of a straight unit (s)?

• A. d is shorter than s
• B. d is equal to s
• C. d is greater than s
• D. d is exactly half of s

Q11. Which of the following pairs correctly matches each idea with what it measures?

• A. Perimeter — region inside the figure; Area — boundary length
• B. Perimeter — boundary length; Area — region inside the figure
• C. Perimeter — number of corners; Area — number of sides
• D. Perimeter — longest side only; Area — shortest side only

Q12. A floor is 5 m long and 4 m wide. What is the area of the floor?

• A. 9 sq m
• B. 18 sq m
• C. 20 sq m
• D. 20 m

Q13. A square carpet has each side equal to 3 m. What is its area?

• A. 9 sq m
• B. 6 sq m
• C. 12 sq m
• D. 3 sq m

Q14. When you estimate the area of a shape on graph paper, what do you do with a small square that is less than half covered by the shape?

• A. Count it as 1 square unit
• B. Ignore it (do not count it)
• C. Count it as 1/2 square unit
• D. Count it as 2 square units

Q15. A rectangular garden is 15 m long and 12 m wide. Four flower beds, each 2 m × 1 m, are dug at its four corners. What area is now available for the lawn?

• A. 180 sq m
• B. 176 sq m
• C. 8 sq m
• D. 172 sq m