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Grade 5 · Math · Unit 14 of 14

Area & Perimeter

Measure inside and around shapes

What your child practises

Finding the area and perimeter of squares and rectangles, working backwards to a missing side, and discovering that shapes with the same area can have different perimeters (and vice versa).

Alberta Curriculum learning outcome: 5M1.1 · area of squares and rectangles in square units, and its relationship to perimeter

Sample questions

A taste of this unit. In the app, questions change every time and get easier or harder to match your child.

  1. Question 1

    A rectangular garden is 13 m long and 11 m wide. What is its area?

    🌻13 m × 11 m

    answer boxm²

    Show answer

    143 m²

    Hint: Area of a rectangle = length × width. The answer is in square units.

  2. Question 2

    How many square units cover this rectangle?

    answer boxsquare units

    Show answer

    42 square units

    Hint: Count the squares in one row, then multiply by the number of rows: area = rows × columns.

  3. Question 3

    Rectangles A and B have the same perimeter. Which statement is true?

    RectangleLengthWidth
    A14 cm6 cm
    B16 cm4 cm
    • Rectangle A has the greater area.
    • Rectangle B has the greater area.
    • They have the same area.
    Show answer

    Rectangle A has the greater area.

    Hint: Find each area: length × width. Same perimeter does not mean same area!

  4. Question 4

    What does perimeter measure?

    • The space inside a shape
    • How heavy a shape is
    • How many corners a shape has
    • The distance around a shape
    Show answer

    The distance around a shape

    Hint: Think of walking along the edge of a shape: that distance is the perimeter.

  5. Question 5

    A rectangular park is 20 m long and 12 m wide. How far is it to walk once around the edge?

    answer boxm

    Show answer

    64 m

    Hint: Perimeter is the distance around: add all four sides, or work out 2 × (length + width).

  6. Question 6

    These rectangles all have a perimeter of 22 m. Which one has the greatest area?

    • 8 m by 3 m
    • 9 m by 2 m
    • 6 m by 5 m
    • 7 m by 4 m
    Show answer

    6 m by 5 m

    Hint: Work out length × width for each one. For the same perimeter, the closer the shape is to a square, the greater the area.

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