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Grade 5 · Math · Unit 9 of 13

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).

Nunavut Curriculum approved guide: Alberta Mathematics K–9 (2007), Shape and Space · designing rectangles given perimeter or area

How we explain it

Children can open this short lesson before they practise.

  1. Perimeter is the distance around a shape: add all the sides.
  2. Area is the space inside: length × width for a rectangle.
  3. Perimeter is in units like cm. Area is in square units like cm².

Example: A rectangle is 10 cm long and 4 cm wide. Find its perimeter and area. Perimeter: 10 + 4 + 10 + 4 = 28 cm. Area: 10 × 4 = 40 cm². Answer: 28 cm and 40 cm²

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

  2. Question 2

    How many square units cover this rectangle?

    answer boxsquare units

  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.

  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

  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

  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

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