Maths Library

Area of Rectangles and Squares: Year 5 maths

This topic covers finding the area of squares, rectangles, and compound rectilinear shapes. Students practise multiplying base by height, splitting composite shapes, and finding missing dimensions given area.

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What this covers

Area of Rectangles and Squares is taught in Year 5 (age 10 to 11) as a main teaching focus. It sits in the Measurement strand.

Worked example

A rectangle has a length of 9 cm and an area of 54 cm^2. What is its width

  1. Recall the formula for area: Area = length × width.
  2. Substitute known values: 54 = 9 × width.
  3. Divide area by length: width = 549 = 6 cm.

Answer: 6 cm

Difficulty scale

The sheet generator offers five difficulty settings for this topic.

  1. Counting whole unit squares on a grid to find area.
  2. Area of rectangles and squares using integer multiplication within times tables.
  3. Area of rectangles with two-digit integer dimensions or simple decimal lengths.
  4. Area of compound rectilinear (L or T) shapes by partitioning into two rectangles.
  5. Reverse problems finding unknown side lengths, or problems combining perimeter and area.

Common mistakes

  • Confusing area and perimeter by adding all side lengths instead of multiplying base by height.
  • Forgetting to subtract overlapping areas when partitioning compound rectilinear shapes.

Curriculum links

Indicative matches to Australian Curriculum v9. Check wording and codes against the official document.

  • AC9M5M01 Calculate the perimeter and area of rectangles using standard metric units.

Sample sheet and answers

Six questions at the level's usual difficulty. Open the editor to change, add or regenerate any of them.

Area of Rectangles and Squares

Year 5 maths

Qs
6
Marks
6
NameDateScore / 6
1.
Find the area of the rectangle.
6 cm2 cm
[1]
2.
Find the area of the rectangle.
10 cm9 cm
[1]
3.
Find the area of the rectangle.
12 cm4 cm
[1]
4.
Find the area of the rectangle.
10 cm9 cm
[1]
5.
Find the area of the rectangle.
5 cm4 cm
[1]
6.
Find the area of the rectangle.
9 cm8 cm
[1]

Answer key

  1. 12 cm2Area = length × width; 6 × 2 = 12 cm2
  2. 90 cm2Area = length × width; 10 × 9 = 90 cm2
  3. 48 cm2Area = length × width; 12 × 4 = 48 cm2
  4. 90 cm2Area = length × width; 10 × 9 = 90 cm2
  5. 20 cm2Area = length × width; 5 × 4 = 20 cm2
  6. 72 cm2Area = length × width; 9 × 8 = 72 cm2