Area and Perimeter Quiz

Grade 3 · Math · Quiz

Test your understanding of how to calculate area and perimeter of rectangles and squares.

Questions

1. What is the perimeter of a rectangle with length 8 cm and width 3 cm?

   1. 11 cm
   2. 22 cm
   3. 24 cm
   4. 16 cm
   Show answer

   Answer: 22 cm

   Perimeter = 8 + 3 + 8 + 3 = 22 cm.

2. A garden is shaped like a rectangle. It is 10 ft long and 4 ft wide. What is its area?

   1. 14 ft²
   2. 28 ft²
   3. 40 ft²
   4. 44 ft²
   Show answer

   Answer: 40 ft²

   Area = 10 × 4 = 40 ft².

3. A square has a perimeter of 20 inches. How long is each side?

   1. 4 inches
   2. 5 inches
   3. 10 inches
   4. 20 inches
   Show answer

   Answer: 5 inches

   Perimeter = 4 × side, so side = 20 ÷ 4 = 5 inches.

4. Which shape has an area of 18 cm²?

   1. A rectangle 3 cm × 5 cm
   2. A rectangle 2 cm × 9 cm
   3. A rectangle 4 cm × 6 cm
   4. A square 4 cm × 4 cm
   Show answer

   Answer: A rectangle 2 cm × 9 cm

   2 × 9 = 18 cm². The other options give 15, 24, and 16 cm².

5. A room is 6 m long and 5 m wide. How much carpet is needed to cover the floor?

   1. 11 m²
   2. 22 m²
   3. 30 m²
   4. 60 m²
   Show answer

   Answer: 30 m²

   Area = 6 × 5 = 30 m². Carpet covers the area of the floor.

6. Two rectangles can have the same perimeter but different areas.

   Show answer

   Answer: True

   For example, a 1×5 rectangle and a 2×4 rectangle both have perimeter 12, but areas of 5 and 8.

7. A square tile has sides of 3 cm. What is its area?

   1. 6 cm²
   2. 9 cm²
   3. 12 cm²
   4. 3 cm²
   Show answer

   Answer: 9 cm²

   Area = 3 × 3 = 9 cm².

8. A rectangle has a perimeter of 24 cm. Its width is 4 cm. Its length is ___ cm.

   Show answer

   Answer: 8

   Perimeter = 2 × (length + width). 24 = 2 × (length + 4). 12 = length + 4. Length = 8 cm.

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