What is Area?

The area is the space inside a shape. When we talk about the area of a rectangle, we want to find out how much space is inside it.

What is a Rectangle?

A rectangle is a shape with four sides. It has two long sides and two short sides. The corners are all right angles (90 degrees).

Key Terms

  • Length: The longer side of the rectangle.
  • Width: The shorter side of the rectangle.

How to Find the Area of a Rectangle

To find the area of a rectangle, we use a simple formula:

\text{Area} = \text{Length} \times \text{Width}

Example

If we have a rectangle that is 5 cm long and 3 cm wide, we can find the area like this:

  1. Identify the length and width:
    • Length = 5 cm
    • Width = 3 cm
  2. Use the formula:
    • Area = Length × Width
    • Area = 5 cm × 3 cm = 15 cm²

So, the area of the rectangle is 15 square centimetres.

Tips to Remember

  1. Units Matter: Always include the unit of measurement (like cm, m, etc.). The area will be in square units (like cm², m²).
  2. Double Check: Ensure you have the right length and width. Sometimes, it’s easy to mix them up!
  3. Visualisation: Draw the rectangle! This can help you see the dimensions more clearly.
  4. Practice: The more you practice, the better you’ll understand it!

Questions to Test Your Knowledge

Easy Level Questions

  1. What is the area of a rectangle with a length of 4 cm and a width of 2 cm?
  2. Find the area of a rectangle that is 6 m long and 3 m wide.
  3. If a rectangle has a length of 8 cm and a width of 1 cm, what is its area?
  4. Calculate the area of a rectangle where the length is 5 inches and the width is 5 inches.
  5. A rectangle has a length of 10 cm and a width of 2 cm. What is the area?
  6. What is the area of a rectangle with length 7 m and width 4 m?
  7. If the length is 3 m and the width is 2 m, what is the area?
  8. A rectangle has a length of 9 cm and a width of 1 cm. What is its area?
  9. Calculate the area of a rectangle with a length of 6 cm and a width of 6 cm.
  10. What is the area of a rectangle with a length of 5 m and width of 4 m?
  11. If the length is 12 cm and the width is 3 cm, what is the area?
  12. Find the area of a rectangle with a length of 2 cm and width of 9 cm.
  13. A rectangle has a length of 8 m and a width of 2 m. What is its area?
  14. What is the area of a rectangle with a length of 10 cm and a width of 5 cm?
  15. If the length is 4 m and the width is 3 m, what is the area?
  16. Calculate the area of a rectangle that is 5 inches long and 2 inches wide.
  17. A rectangle has a length of 7 cm and a width of 1 cm. What is its area?
  18. What is the area of a rectangle with length 3 m and width 5 m?
  19. If a rectangle’s length is 6 cm and its width is 4 cm, what is the area?
  20. Find the area of a rectangle that is 5 m long and 5 m wide.

Medium Level Questions

  1. What is the area of a rectangle with a length of 15 cm and a width of 10 cm?
  2. Calculate the area of a rectangle that is 14 m long and 8 m wide.
  3. If a rectangle has a length of 12 cm and a width of 6 cm, what is its area?
  4. A rectangle has a length of 20 cm and a width of 5 cm. What is the area?
  5. What is the area of a rectangle with length 25 m and width 10 m?
  6. Calculate the area of a rectangle with a length of 18 cm and a width of 3 cm.
  7. A rectangle has a length of 30 cm and a width of 4 cm. What is its area?
  8. If the length is 9 m and the width is 7 m, what is the area?
  9. Find the area of a rectangle that is 10 cm long and 10 cm wide.
  10. What is the area of a rectangle with a length of 16 m and width of 2 m?
  11. A rectangle has a length of 11 cm and a width of 11 cm. What is its area?
  12. Calculate the area of a rectangle with the following dimensions: Length = 22 cm, Width = 1 cm.
  13. If a rectangle has a length of 19 cm and a width of 3 cm, what is its area?
  14. A rectangle has a length of 8 m and a width of 15 m. What is its area?
  15. What is the area of a rectangle with length 21 m and width 4 m?
  16. Calculate the area of a rectangle that is 17 cm long and 5 cm wide.
  17. A rectangle has a length of 24 cm and a width of 6 cm. What is its area?
  18. If the length is 23 m and the width is 2 m, what is the area?
  19. Find the area of a rectangle with length 26 cm and width 3 cm.
  20. What is the area of a rectangle with length 15 m and width 5 m?

Hard Level Questions

  1. A rectangle is 50 cm long and 20 cm wide. What is its area?
  2. Calculate the area of a rectangle that is 75 m long and 25 m wide.
  3. If a rectangle has a length of 40 cm and a width of 10 cm, what is its area?
  4. A rectangle has a length of 90 cm and a width of 30 cm. What is its area?
  5. What is the area of a rectangle with a length of 60 m and a width of 20 m?
  6. Calculate the area of a rectangle where the length is 85 cm and the width is 15 cm.
  7. A rectangle has a length of 100 m and a width of 50 m. What is its area?
  8. If the length is 120 cm and the width is 30 cm, what is the area?
  9. Find the area of a rectangle that is 150 m long and 25 m wide.
  10. What is the area of a rectangle with length 200 cm and width 100 cm?
  11. A rectangle has a length of 250 cm and a width of 50 cm. What is its area?
  12. Calculate the area of a rectangle that is 30 m long and 10 m wide.
  13. If a rectangle has a length of 300 cm and a width of 100 cm, what is its area?
  14. A rectangle has a length of 400 m and a width of 200 m. What is its area?
  15. What is the area of a rectangle with a length of 500 cm and a width of 250 cm?
  16. Calculate the area of a rectangle that is 600 m long and 50 m wide.
  17. A rectangle has a length of 700 cm and a width of 350 cm. What is its area?
  18. If the length is 800 cm and the width is 400 cm, what is the area?
  19. Find the area of a rectangle that is 900 m long and 450 m wide.
  20. What is the area of a rectangle with a length of 1000 cm and a width of 500 cm?

Answers and Explanations

Easy Level Answers

  1. 8 cm²
  2. 18 m²
  3. 8 cm²
  4. 25 in²
  5. 20 cm²
  6. 28 m²
  7. 6 m²
  8. 9 cm²
  9. 36 cm²
  10. 20 m²
  11. 36 cm²
  12. 18 cm²
  13. 16 m²
  14. 50 cm²
  15. 12 m²
  16. 10 in²
  17. 7 cm²
  18. 15 m²
  19. 24 cm²
  20. 25 m²

Medium Level Answers

  1. 150 cm²
  2. 112 m²
  3. 72 cm²
  4. 100 cm²
  5. 250 m²
  6. 54 cm²
  7. 120 cm²
  8. 63 m²
  9. 100 cm²
  10. 32 m²
  11. 121 cm²
  12. 22 cm²
  13. 57 cm²
  14. 120 m²
  15. 84 m²
  16. 85 cm²
  17. 144 cm²
  18. 46 m²
  19. 78 cm²
  20. 75 m²

Hard Level Answers

  1. 1000 cm²
  2. 1875 m²
  3. 400 cm²
  4. 2700 cm²
  5. 1200 m²
  6. 1275 cm²
  7. 35000 m²
  8. 3600 cm²
  9. 22500 m²