Perimeter & Area
Match the Definition
Draw a line from each word to its meaning.
Perimeter or Area? (Set A)
Circle whether you would find the PERIMETER or the AREA.
How much fencing for a garden?
How much carpet for a room?
How much ribbon around a present?
How much paint for a wall?
Perimeter or Area? (Set B)
Circle the correct answer.
How much border tape around a poster?
How many tiles to cover a floor?
How much edging for a garden bed?
How much wrapping paper to cover a box top?
Find the Perimeter (Set A)
Add all the sides to find the perimeter. Circle the correct answer.
Rectangle: 5 cm, 3 cm, 5 cm, 3 cm
Square: 4 sides of 6 cm
Triangle: 7 cm, 5 cm, 8 cm
Rectangle: 10 m, 4 m, 10 m, 4 m
Find the Perimeter (Set B)
Circle the correct perimeter.
Square: 4 sides of 9 cm
Rectangle: 12 cm, 5 cm, 12 cm, 5 cm
Triangle: 6 cm, 6 cm, 6 cm
Rectangle: 8 m, 3 m, 8 m, 3 m
Count the Square Units – Area (Set A)
Each small square = 1 square unit. Circle the area.
Rectangle: 4 long, 3 wide
Rectangle: 5 long, 2 wide
Square: 3 on each side
Rectangle: 6 long, 4 wide
Count the Square Units – Area (Set B)
Circle the area.
Square: 5 on each side
Rectangle: 7 long, 3 wide
Rectangle: 8 long, 2 wide
Square: 4 on each side
Perimeter Puzzles (Set A)
Find the missing side length. Total is the perimeter.
Perimeter Puzzles (Set B)
Find the missing value.
Match Rectangles to Their Perimeters
Draw a line from each rectangle to its perimeter.
Match Rectangles to Their Areas
Draw a line from each rectangle to its area.
Find the Perimeter (Set C)
Add all sides. Circle the correct perimeter.
Rectangle: 7 cm, 4 cm, 7 cm, 4 cm
Square: 4 sides of 11 cm
Triangle: 9 cm, 12 cm, 15 cm
Rectangle: 15 m, 6 m, 15 m, 6 m
Find the Perimeter (Set D)
Circle the correct perimeter.
Square: 4 sides of 13 cm
Rectangle: 20 m, 8 m, 20 m, 8 m
Triangle: 10 cm, 10 cm, 10 cm
Rectangle: 14 cm, 3 cm, 14 cm, 3 cm
Count the Square Units – Area (Set C)
Circle the area.
Rectangle: 9 long, 3 wide
Square: 6 on each side
Rectangle: 10 long, 5 wide
Rectangle: 3 long, 11 wide
Perimeter or Area? (Set C)
Circle the correct answer.
How much fabric to cover a cushion?
How much lace around the edge of a tablecloth?
How many square metres of grass seed for a lawn?
How much wire to make a picture frame?
Perimeter or Area? (Set D)
Circle your answer.
How many square tiles to cover a bathroom wall?
How much string to go around a parcel?
How much sand to fill a sandpit?
How much trim around the edge of a notice board?
Perimeter Puzzles (Set C)
Find the missing value. Total is the perimeter.
Area Puzzles – Length × Width
Area = Length × Width. Find the missing value.
Match Rectangles to Their Perimeters (Set B)
Draw a line from each rectangle to its perimeter.
Match Rectangles to Their Areas (Set B)
Draw a line from each rectangle to its area.
Sort by Perimeter Size
Sort these rectangles by perimeter.
Sort by Area Size
Sort these rectangles by area.
Perimeter Sequences
Find the pattern in the perimeters and continue.
Area Sequences – Square Numbers
These are areas of squares. Continue the pattern.
Estimate Perimeters
Estimate the perimeter of each object.
Your desk: estimated perimeter = ___ cm
A textbook: estimated perimeter = ___ cm
The classroom door: estimated perimeter = ___ cm
Now measure one of them. How close was your estimate?
Estimate Areas
Estimate the area of each surface.
A piece of A4 paper: estimated area = ___ sq cm
Your pencil case (top face): estimated area = ___ sq cm
A playing card: estimated area = ___ sq cm
Which was hardest to estimate? Why?
Quick Perimeter Quiz
Circle the correct perimeter.
Square with side 7 m
Rectangle 11 cm by 4 cm
Square with side 12 cm
Rectangle 9 m by 6 m
Quick Area Quiz
Circle the correct area.
Rectangle 8 cm by 5 cm
Square with side 7 m
Rectangle 12 m by 3 m
Square with side 10 cm
Calculate Perimeter and Area (Set A)
Work out the perimeter and area for each rectangle.
Length = 8 cm, Width = 3 cm. Perimeter = ___ cm, Area = ___ sq cm
Length = 10 m, Width = 5 m. Perimeter = ___ m, Area = ___ sq m
Length = 12 cm, Width = 7 cm. Perimeter = ___ cm, Area = ___ sq cm
Calculate Perimeter and Area (Set B)
Work out the perimeter and area.
Length = 6 m, Width = 6 m. Perimeter = ___ m, Area = ___ sq m
Length = 15 cm, Width = 4 cm. Perimeter = ___ cm, Area = ___ sq cm
Length = 9 m, Width = 8 m. Perimeter = ___ m, Area = ___ sq m
Same Perimeter, Different Area?
Both rectangles have the same perimeter. Circle the one with the LARGER area.
Perimeter = 20 cm: which has more area?
Perimeter = 24 cm: which has more area?
Perimeter = 16 cm: which has more area?
Perimeter Word Problems
Solve each problem. Show your working.
A garden is 12 m long and 8 m wide. How much fencing is needed to go around it?
A square painting has a perimeter of 60 cm. How long is each side?
A rectangular pool is 25 m long and 10 m wide. What is its perimeter?
Area Word Problems
Solve each problem.
A rug is 3 m long and 2 m wide. What is its area?
A rectangular garden bed has an area of 24 sq m. It is 8 m long. How wide is it?
How many 1 m × 1 m tiles do you need to cover a 5 m × 4 m floor?
Find the Missing Side
Use the perimeter or area to find the missing side.
A rectangle has a perimeter of 26 cm. One side is 8 cm. What is the other side?
A rectangle has an area of 36 sq cm. One side is 9 cm. What is the other side?
A square has an area of 49 sq cm. What is the length of each side?
Draw Shapes with Given Perimeter
On grid paper, draw shapes with these perimeters.
Draw two different rectangles that each have a perimeter of 20 cm. Write their areas.
Draw a rectangle with a perimeter of 24 cm and the largest possible area.
Challenge: Composite Shapes
These shapes are made from rectangles joined together.
An L-shape is made from two rectangles: 4×3 and 2×3. What is the total area?
Why is finding the perimeter of an L-shape harder than a rectangle?
Challenge: Area and Perimeter Reasoning
Answer these thinking questions.
Can two shapes have the same area but different perimeters? Give an example.
If you double the sides of a square, does the perimeter double? Does the area double? Explain.
Home Activity: Perimeter & Area at Home
Explore perimeter and area in your home!
- 1Measure the perimeter of a book, a table and a rug. Which has the largest perimeter?
- 2Use square sticky notes to cover a small surface. Count them — that is the area!
- 3Pace around your bedroom. How many steps is the perimeter?
- 4Draw two different rectangles that both have a perimeter of 20 cm. Are their areas the same?
Calculate Perimeter (Set A)
Calculate the perimeter of each shape. Circle the correct answer.
Rectangle: length 8 cm, width 5 cm. Perimeter = ?
Square: side 7 cm. Perimeter = ?
Triangle: sides 6 cm, 8 cm, 10 cm. Perimeter = ?
Rectangle: length 12 m, width 4 m. Perimeter = ?
Calculate Area of Rectangles (Set A)
Use Area = length × width. Circle the correct answer.
Rectangle: length 9 cm, width 4 cm. Area = ?
Square: side 6 m. Area = ?
Rectangle: length 10 cm, width 7 cm. Area = ?
Rectangle: length 15 mm, width 8 mm. Area = ?
Find the Missing Dimension
Use the area or perimeter formula to find the missing dimension.
Area = 48 cm². Width = 6 cm. Length = ___
Perimeter = 36 m. It is a square. Side = ___
Perimeter = 30 cm. Length = 9 cm. Width = ___
Area = 72 m². Length = 12 m. Width = ___
Same Perimeter, Different Area
Explore shapes with the same perimeter but different areas.
Draw two different rectangles that both have a perimeter of 24 cm. Find the area of each.
Which rectangle has the larger area? What do you notice?
What shape with a perimeter of 24 cm would have the maximum area?
Match Shape to Its Perimeter
Draw a line from each shape description to its perimeter.
Area of Compound Shapes
Split each compound shape into rectangles and find the total area.
An L-shape: outer rectangle 8 × 6 m, inner missing piece 3 × 2 m. Total area = ___
A cross shape: horizontal rectangle 9 × 2 cm, vertical rectangle 3 × 6 cm, overlapping 2 × 2 cm. Total area = ___
Sort: Bigger Perimeter or Bigger Area?
For each pair of shapes, circle which has the greater perimeter and which has the greater area.
Real-Life Perimeter Problems
Solve each problem involving perimeter.
A garden bed is 7 m long and 3 m wide. How much fencing is needed to go around it?
A room is 6 m × 5 m. Skirting board is needed around the edges (not counting a 1 m door). How much skirting board is needed?
Real-Life Area Problems
Solve each problem involving area.
A floor is 9 m long and 4 m wide. Each tile is 1 m². How many tiles are needed?
A lawn is 8 m × 5 m. Fertiliser covers 4 m² per pack. How many packs are needed?
Perimeter and Dimensions
Find the missing dimension given the perimeter and one side.
Favourite Shapes Survey
Students voted for their favourite shape to calculate area.
| Item | Tally | Total |
|---|---|---|
Square | ||
Rectangle | ||
Triangle | ||
Circle (estimate) |
Growing Rectangles Pattern
A rectangle has length 1 more than its width. Find areas as it grows.
Challenge: Perimeter and Area Relationship
Investigate the relationship between perimeter and area.
Make a table: squares with side 1, 2, 3, 4, 5 cm. Find perimeter and area of each.
How does doubling the side of a square affect the area? Does it double?
Which rectangle (with perimeter 20 cm) has the greatest area? Why?
Area Using Grid Squares
Count grid squares to find the area of each shape.
A shape on a 1 cm grid has 14 complete squares and 6 half squares. Area = ___
Explain how you would estimate the area of an irregular shape on a grid.