Area of a Rectangle
Calculate the Area
Use the formula: Area = length × width. Include the correct unit (cm² or m²).
Length = 5 cm, Width = 3 cm. Area = ___
Length = 8 m, Width = 4 m. Area = ___
Length = 10 cm, Width = 6 cm. Area = ___
Length = 12 m, Width = 7 m. Area = ___
More Area Calculations
Calculate the area of each rectangle.
Length = 9 cm, Width = 5 cm. Area = ___
Length = 15 m, Width = 3 m. Area = ___
Length = 7 cm, Width = 7 cm. Area = ___
Length = 20 m, Width = 8 m. Area = ___
Match Dimensions to Areas
Draw a line to match each rectangle to its area.
Quick Area Check
Circle the correct area for each rectangle.
4 cm × 6 cm = ?
11 m × 3 m = ?
5 cm × 8 cm = ?
10 m × 10 m = ?
Area with Decimal Dimensions
Calculate the area. Use decimals.
Length = 3.5 cm, Width = 2 cm. Area = ___
Length = 4.5 m, Width = 6 m. Area = ___
Length = 2.5 cm, Width = 2.5 cm. Area = ___
Length = 10.5 m, Width = 4 m. Area = ___
Sort: Area or Perimeter?
Sort each description. Does it describe area or perimeter?
Find the Missing Dimension
Use the area formula to find the missing length or width.
Area = 36 cm², Length = 9 cm. Width = ___
Area = 48 m², Width = 6 m. Length = ___
Area = 100 cm², Length = 10 cm. Width = ___
Area = 72 m², Width = 8 m. Length = ___
More Missing Dimensions
Find the missing side length.
Area = 63 cm², Length = 7 cm. Width = ___
Area = 120 m², Width = 10 m. Length = ___
Area = 56 cm², Length = 14 cm. Width = ___
Area = 200 m², Width = 25 m. Length = ___
Which Rectangle Has the Largest Area?
Calculate the area of each rectangle and circle the largest.
Largest area?
Largest area?
Largest area?
Same Area, Different Shapes
Which pairs of dimensions give the same area?
Same area as 4 × 6?
Same area as 5 × 12?
Same area as 3 × 9?
Draw Rectangles with Given Areas
List all possible whole-number dimensions for each area.
Area = 24 cm². Possible dimensions: ___
Area = 36 cm². Possible dimensions: ___
Area = 18 cm². Possible dimensions: ___
Area Word Problems
Solve each problem using the area formula. Show your working.
A garden bed is 4.5 m long and 2 m wide. What is its area?
A classroom floor is 120 m². If the room is 10 m long, how wide is it?
You want to tile a 3 m × 4 m bathroom with tiles that are 0.5 m × 0.5 m. How many tiles do you need?
More Area Word Problems
Solve each problem. Show your working.
A rectangular field is 50 m long and 30 m wide. What is its area in square metres?
You need to buy turf for a lawn that is 8 m × 6 m. Turf costs $12 per m². What is the total cost?
A poster is 60 cm × 40 cm. A frame costs 5 cents per cm². How much does it cost to frame?
Composite Shape Areas
Break each shape into rectangles and find the total area.
An L-shaped room: one part is 5 m × 3 m, the other is 4 m × 2 m. Total area = ___
A T-shaped garden: the top is 6 m × 2 m, the stem is 2 m × 4 m. Total area = ___
Home Activity: Area Explorer
Measure and calculate areas at home!
- 1Measure the length and width of your bedroom. Calculate its area in square metres.
- 2Find a rectangular book cover. Measure its dimensions and calculate the area in cm².
- 3Estimate the area of a table top, then measure to check.
- 4Draw 3 different rectangles that all have an area of 24 cm².
- 5Calculate the total floor area of your home by measuring each room.
Area of a Triangle
Area of a triangle = ½ × base × height. Calculate each area.
Base = 8 cm, Height = 5 cm. Area = ___
Base = 12 m, Height = 7 m. Area = ___
Base = 9.5 cm, Height = 4 cm. Area = ___
Base = 15 m, Height = 8.5 m. Area = ___
Surface Area of a Rectangular Prism
A rectangular prism has 6 faces. SA = 2(lw + lh + wh).
L = 5 cm, W = 3 cm, H = 4 cm. SA = ___
L = 10 m, W = 6 m, H = 4 m. SA = ___
A cube with side 8 cm. SA = ___
Surface Area Check
Circle the correct surface area for each rectangular prism.
L=4, W=3, H=2:
Cube with side 5:
L=6, W=4, H=3:
Volume of a Rectangular Prism
Volume = length × width × height. Calculate each volume.
L = 6 cm, W = 4 cm, H = 3 cm. Volume = ___
L = 10 m, W = 5 m, H = 2 m. Volume = ___
A cube with side 7 cm. Volume = ___
L = 12 cm, W = 8.5 cm, H = 4 cm. Volume = ___
Volume and Capacity Connection
Remember: 1 cm³ = 1 mL. Use this to connect volume and capacity.
Volume = 600 cm³. Capacity = ___ mL = ___ L
A box 20 cm × 15 cm × 10 cm. Volume = ___ cm³ = ___ L
A 2 L jug. Volume in cm³: ___
Match Shape to Area Formula
Draw a line to match each shape to its area formula.
Composite Area Problems
Break each compound shape into rectangles and triangles.
L-shape: Large rect 8×6, removed corner 3×2. Area = ___
House shape: Rectangle 6×4, triangle on top with base 6 and height 3. Total area = ___
Area and Perimeter Relationship
Investigate the relationship between area and perimeter.
Rectangle: 4×9. Area = ___. Perimeter = ___
Rectangle: 6×6. Area = ___. Perimeter = ___
Both have the same area (36 cm²) but which has the smaller perimeter? ___
What shape gives the smallest perimeter for a given area? ___
Sort Shapes by Area
Calculate each area and sort from smallest to largest.
Finding Missing Dimensions
Use the given measurement to find the missing dimension.
Volume = 120 cm³, L = 5 cm, W = 4 cm. Height = ___
Surface area of cube = 216 cm². Side length = ___
Triangle area = 45 cm², base = 9 cm. Height = ___
Tiling Problems
Solve these tiling problems.
A floor is 5 m × 4 m. Tiles are 50 cm × 50 cm. How many tiles needed? ___
Tiles cost $8.50 each. Total cost to tile the floor: $___
If you buy 10% extra for wastage, how many tiles do you buy? ___. Total cost: $___
Volume vs Surface Area
Circle the correct answer.
Volume tells you:
Surface area tells you:
Which uses m³?
For painting a box, you need:
Garden Bed Areas
This graph shows areas of garden beds (each icon = 2 m²). Answer the questions.
| Flower garden | |
| Vegetable patch | |
| Herb garden | |
| Lawn area |
What is the total area of all four gardens?
What fraction of the total area is the vegetable patch?
If turf costs $15/m², how much would the lawn cost?
Room Sizes in Homes
Students measured rooms in their homes. Tally the size categories.
| Item | Tally | Total |
|---|---|---|
< 10 m² | ||
10–15 m² | ||
15–20 m² | ||
> 20 m² |
Scale Drawings and Area
A scale drawing uses 1 cm : 2 m.
On the drawing, a room is 3 cm × 4 cm. Real dimensions: ___ × ___. Real area: ___
A real room is 5 m × 7 m. Scale drawing dimensions: ___ × ___
Environmental Area Problems
Solve these real-world environmental problems.
A solar panel is 1.6 m × 1 m. A roof has space for 12 panels. Total panel area: ___
Each panel generates 300 W. Total power from 12 panels: ___ W = ___ kW
Area Reasoning
Answer these reasoning questions.
If you double the length of a rectangle and halve the width, does the area change? Explain: ___
A square has the same area as a rectangle 9 × 4. What is the square's side length? ___
Design a rectangular garden with area exactly 36 m² and perimeter less than 30 m: ___