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

Counting squares to find area

Mathematics · Measurement · ages 8-9
Name ______________________   Date ____________
  1. This grid is covered with unit squares, with no gaps or overlaps. What is its area?

    • 5 square units
    • 6 square units
    • 7 square units
  2. 12 square tiles cover a tray with no gaps. What is the area of the tray?

    • 12 square units
    • 12 units
    • 6 square units
    • 24 square units
  3. A shape is covered by 12 unit squares with no gaps or overlaps. What is its area in square units?

    Answer: ______________

  4. What is the area of a single unit square?

    • 1 square unit
    • 2 square units
    • 1 unit
  5. Which measurement tells you how many unit squares cover a shape?

    • Area
    • Perimeter
    • Length
  6. A rectangle is covered by 9 unit squares with no gaps or overlaps. What is its area?

    • 9 units
    • 3 square units
    • 9 square units
  7. A shape has area 24 square units and perimeter 24 units. The numbers match, but which statement is true?

    • Area and perimeter measure different things
    • Area is always the bigger number
    • Perimeter is always the bigger number
    • They must be equal
  8. Count the unit squares covering this rectangle. Type the area in square units.

    Answer: ______________

  9. Zoe says a shape covered by 10 unit squares has an area of 10 units. What mistake did she make?

    • She counted the squares wrong
    • She forgot to say square units
    • She measured the perimeter instead
  10. Rectangle A is covered by 12 unit squares. Rectangle B has a longer distance around its edge but is covered by only 8 unit squares. Which rectangle has the greater area?

    • Rectangle B
    • They have the same area
    • Rectangle A
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Answer key

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

Counting squares to find area W1-mt_6xNmQLzuqm-s1

  1. 6 square units · Count every unit square: 2 rows of 3 makes 6 square units.
  2. 12 square units · 12 tiles with no gaps is an area of 12 square units.
  3. 12 · 12 unit squares with no gaps means an area of 12 square units.
  4. 1 square unit · A unit square is defined to have an area of exactly 1 square unit.
  5. Area · Area counts the covering squares. Perimeter measures the distance around the edge instead.
  6. 9 square units · Each unit square is worth 1 square unit, so 9 squares make 9 square units.
  7. Area and perimeter measure different things · Area counts inside squares; perimeter walks the edge. Different jobs, sometimes different numbers.
  8. 12 · 3 rows of 4 unit squares makes 12 square units in total.
  9. She forgot to say square units · Area needs the word square in the unit, because we are counting unit squares, not just any units.
  10. Rectangle A · Area depends on how many unit squares cover the shape, not on the distance around the edge. Rectangle A has more unit squares, so it has the greater area.
Worksheet · LightMySky