Find Rectangle Area by Tiling - 3rd Grade Math

1. What is the area of a rectangle with side lengths $6$ units and $5$ units?

   $30$ square units. Multiply $6 \times 5 = 30$ square units.

2. What does it mean to find area by tiling a rectangle with $1 \text{ square unit}$ tiles?

   Cover it with no gaps or overlaps, then count the tiles. Tiling means placing unit squares to fill the shape.

3. What is the area of a rectangle with side lengths $2$ units and $9$ units?

   $18 \text{ square units}$. Multiply: $2 \times 9 = 18$.

4. What is the area of a rectangle with $7$ rows and $2$ tiles in each row?

   $14 \text{ square units}$. Multiply: $7 \times 2 = 14$.

5. Identify the area of a rectangle that is $4$ tiles long and $3$ tiles wide.

   $12 \text{ square units}$. Count tiles: $4 \times 3 = 12$.

6. What is the area of a rectangle with side lengths $9$ units and $3$ units?

   $27$ square units. Multiply $9 \times 3 = 27$ square units.

7. What is the area of a rectangle with side lengths $12$ units and $2$ units?

   $24$ square units. Multiply $12 \times 2 = 24$ square units.

8. What is the area of a rectangle with side lengths $10$ units and $10$ units?

   $100$ square units. A square with side $10$ has area $10 \times 10 = 100$.

9. What multiplication matches a rectangle with $5$ rows of $7$ tiles each?

   $5 \times 7$. Rows times tiles per row equals total tiles.

10. What does it mean to tile a rectangle when finding its area?

    Cover it with unit squares with no gaps or overlaps. Tiling means filling completely with unit squares.

11. What is the formula for the area of a rectangle with side lengths $\ell$ and $w$?

    $A = \ell \times w$. Multiply length times width to find area.

12. What is the area of a rectangle with $5$ rows and $7$ tiles in each row?

    $35 \text{ square units}$. Multiply: $5 \times 7 = 35$.

13. What is the area of a rectangle with side lengths $10$ units and $1$ unit?

    $10 \text{ square units}$. Multiply: $10 \times 1 = 10$.

14. Find the area of a rectangle that is $9$ units by $3$ units.

    $27 \text{ square units}$. Multiply: $9 \times 3 = 27$.

15. Identify the area of a rectangle with $4$ columns and $4$ rows of $1 \text{ square unit}$ tiles.

    $16 \text{ square units}$. A square has equal sides: $4 \times 4 = 16$.

16. Identify the correct unit for area: units, square units, or cubic units.

    Square units. Area is always measured in square units.

17. Which option is the correct area for a $3$-by-$5$ rectangle: $8$, $15$, or $30$ square units?

    $15 \text{ square units}$. Calculate: $3 \times 5 = 15$.

18. State the multiplication rule for the area of a rectangle with side lengths $l$ and $w$.

    $A = l \times w$. Multiply length times width to find rectangle area.

19. Identify the missing side length if a rectangle has area $24$ and width $6$.

    $4$. Divide area by width: $24 \div 6 = 4$.

20. Identify the area of a rectangle with $8$ unit squares in each row and $4$ rows.

    $32$ square units. Multiply rows times columns: $4 \times 8 = 32$.

21. Identify the missing side length if a rectangle has area $18$ and length $3$.

    $6$. Divide area by length: $18 \div 3 = 6$.

22. Find the missing side length: a rectangle has area $35$ and one side is $5$. What is the other side?

    $7$ units. Divide area by known side: $35 \div 5 = 7$.

23. What is the area of a rectangle that is $8$ units long and $4$ units wide?

    $32 \text{ square units}$. Multiply: $8 \times 4 = 32$.

24. Identify the width of a rectangle with area $28$ and length $7$.

    $4$. Divide area by length: $28 \div 7 = 4$.

25. Which statement correctly shows that tiling and multiplying give the same area for a $4$-by-$6$ rectangle?

    $4 \times 6 = 24$ tiles, so area is $24 \text{ square units}$. Shows tiling and multiplication give same result.

26. What is the area of a rectangle measured in when using $1 \text{ square unit}$ tiles?

    Square units (number of $1 \text{ square unit}$ tiles). Each tile represents one square unit of area.

27. Identify the area of a rectangle with side lengths $6$ units and $2$ units.

    $12 \text{ square units}$. Multiply: $6 \times 2 = 12$.

28. Choose the statement that must be true for tiled area: gaps, overlaps, or neither.

    Neither gaps nor overlaps. Proper tiling requires complete coverage.

29. What multiplication shows the area for a tiled rectangle with $3$ rows of $10$ unit squares?

    $3 \times 10$. Rows times columns gives the total unit squares.

30. What is the area of a rectangle with side lengths $1$ unit and $9$ units?

    $9$ square units. Multiply $1 \times 9 = 9$ square units.

31. What is the area of a rectangle with side lengths $4$ units and $7$ units?

    $28$ square units. Multiply $4 \times 7 = 28$ square units.

32. If a rectangle has $5$ rows and $5$ columns of unit squares, what is its area?

    $25$ square units. Multiply $5 \times 5 = 25$ square units.

33. Find and correct the unit error: "The area is $12 \text{ units}$" for a rectangle.

    Correct: $12 \text{ square units}$. Area must use square units, not just units.

34. What is the unit used to measure area when you tile a rectangle with $1 \times 1$ squares?

    Square units (number of $1 \times 1$ squares). Area measures how many unit squares fit inside a shape.

35. Find the missing side length: a rectangle has area $24$ and one side is $6$. What is the other side?

    $4$ units. Divide area by known side: $24 \div 6 = 4$.

36. What is the area of a rectangle with $7$ columns of unit squares and $6$ rows?

    $42$ square units. Multiply columns times rows: $7 \times 6 = 42$.

37. Which expression matches the area of a rectangle that is $5$ units long and $2$ units wide?

    $5 \times 2$. Length times width: $5 \times 2$.

38. What is the area of a tiled rectangle with $3$ rows of $10$ unit squares?

    $30$ square units. Multiply $3 \times 10 = 30$ square units.

39. What is the area of a rectangle if it is covered by $12$ unit squares with no gaps or overlaps?

    $12$ square units. The number of unit squares equals the area.

40. Which expression gives the number of tiles in a $9$-by-$3$ rectangle of $1 \text{ square unit}$ tiles?

    $9 \times 3$. Length times width gives total tiles.

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