Area by Tiling · seed 1 · A4, ink-friendly. The answer key prints on its own page for grown-ups.

Area by Tiling

Mathematics · Measurement · ages 8-9
Name ______________________   Date ____________

  1. When you tile a rectangle with unit squares, what rule gives you the total number of squares?

    • Add the rows and columns
    • Multiply the number of rows by the number in each row
    • Count only the squares along the edge

  2. Draw a rectangle 2 squares by 7 squares on squared paper and tile it. How many squares did you draw?

    Answer: ______________

  3. A 3 by 5 rectangle is tiled and the count is 15 squares. Which multiplication checks the count?

    • 3 x 5 = 15
    • 3 + 5 = 8
    • 3 x 5 = 8
    • 5 + 5 + 5 = 12

  4. A rectangle is tiled with unit squares: 4 rows, 6 in each row. How many squares cover it in total?

    • 10
    • 24
    • 20

  5. Draw a 5 by 5 square on squared paper and tile it with unit squares. How many squares?

    Answer: ______________

  6. A garden bed is 6 m by 4 m. It is tiled with 1-metre squares. How many squares?

    • 24 squares
    • 10 squares
    • 20 squares
    • 12 squares

  7. A rectangle has 4 rows with 6 squares in each row. Why does 4 x 6 give its area?

    • Each row adds 6, and there are 4 rows
    • Rows and columns are added: 4 + 6
    • Area means rows plus rows
    • You count only the edge squares

  8. A tiled rectangle has 4 squares in each row and a total area of 28 square units. How many rows are there?

    • 6
    • 7
    • 8

  9. A room is 4 metres long and 3 metres wide. If you tiled the floor with 1-metre squares, how many squares would you need?

    Answer: ______________

  10. Tom tiles a rectangle with 4 rows of 5 squares and says the area is 4 + 5 = 9 square units. What mistake did he make?

    • He counted too many rows
    • He used the wrong shape
    • He added the rows and columns instead of multiplying them
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Answer key

For grown-ups. Fold this page away before handing over the rest.

Area by Tiling W1-mt_Jvvh5P06NV-s1

  1. Multiply the number of rows by the number in each row · Every row has the same number of squares, so rows times squares per row gives the total.
  2. 14 · 2 rows of 7 is 2 x 7 = 14 squares.
  3. 3 x 5 = 15 · 3 rows of 5 is 3 x 5 = 15, which matches the tile count.
  4. 24 · 4 rows of 6 squares means 4 x 6 = 24 squares.
  5. 25 · 5 rows of 5 is 5 x 5 = 25 squares.
  6. 24 squares · 6 x 4 = 24 one-metre squares.
  7. Each row adds 6, and there are 4 rows · 4 rows of 6 means 6 + 6 + 6 + 6, which is exactly 4 x 6.
  8. 7 · Rows x 4 = 28, so there must be 7 rows.
  9. 12 · Picture 3 rows of 4 one-metre squares: 3 x 4 = 12 squares, so the area is 12 square metres.
  10. He added the rows and columns instead of multiplying them · Tiling means each row repeats the same count, so you multiply: 4 x 5 = 20, not 4 + 5.
Worksheet · LightMySky