Measures and time · Ages 7–8

Perimeter: around a shape worksheet

Part of: Metres and centimetres

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Measures and time · Ages 7–8

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Name:Date:Score:／48

Write each answer in the space. For word problems, show your working and write a sentence answer.

1.Each small square's side is 1 cm. How far is it all the way round the edge of this shape?
Answer:
2.Each small square's side is 1 cm. What is the perimeter of this rectangle?
Answer:
3.A rectangle's perimeter is 26 cm and its length is 8 cm. What is its width?
Answer:
4.A rectangle's perimeter is 30 cm and its length is 9 cm. What is its width?
Answer:
5.A rectangle's perimeter is 32 cm and its length is 9 cm. What is its width?
Answer:

6.Each small square's side is 1 cm. What is the perimeter of this rectangle?
- A. 12
- B. 7
- C. 10
- D. 14
Choose the right answer
Answer:
7.Each small square's side is 1 cm. The perimeter of this shape is 12 cm.
True or false?
Answer:
8.Each small square's side is 1 cm. Which rectangle has a perimeter of 12 cm?
- A
- B
- C
- D
Choose the right picture
Answer:
9.Each small square's side is 1 cm. The perimeter of this shape is 10 cm.
True or false?
Answer:
10.Each small square's side is 1 cm. Which rectangle has a perimeter of 8 cm?
- A
- B
- C
- D
Choose the right picture
Answer:
11.Each small square's side is 1 cm. The perimeter of this shape is 16 cm.
True or false?
Answer:
12.Each small square's side is 1 cm. Which rectangle has a perimeter of 18 cm?
- A
- B
- C
- D
Choose the right picture
Answer:

13.Two square tiles with 8 cm sides are laid side by side to make a rectangle. What is the rectangle's perimeter?
Working:
Answer:
14.Ka-yee runs a rope once round a rectangular flower bed 14 m long and 3 m wide. How many metres of rope are needed at least?
Working:
Answer:
15.Ka-yee runs twice round the edge of a rectangular lawn 29 m long and 9 m wide. How many metres does Ka-yee run in all?
Working:
Answer:
16.A square photo frame is 5 cm along each side. Ming sticks a ribbon along all four sides. How many cm of ribbon are needed?
Working:
Answer:
17.Ka-yee runs twice round the edge of a rectangular lawn 29 m long and 10 m wide. How many metres does Ka-yee run in all?
Working:
Answer:
18.A square photo frame is 13 cm along each side. Ka-yee sticks a ribbon along all four sides. How many cm of ribbon are needed?
Working:
Answer:

Show the answers and working

Perimeter: around a shape worksheet: Answers and working

1. 10 cm
Start at a corner and count the small sides round the outside, one by one, until you're back where you began.
Start at a corner and count the small sides along the edge back to the start: 10, so 10 cm.
2. 8 cm
Count how many small sides make the length and the width; the perimeter goes all the way round all four sides.
Length 1 cm, width 3 cm; once round the edge: 1 + 3 + 1 + 3 = 8.
3. 5 cm
The perimeter is 2 lots of (length + width), so half of 26 is one length plus one width.
The perimeter is 2 lots of (length + width), so one length and one width make 13 cm; the width is 13 − 8 = 5 cm.
4. 6 cm
The perimeter is 2 lots of (length + width), so half of 30 is one length plus one width.
The perimeter is 2 lots of (length + width), so one length and one width make 15 cm; the width is 15 − 9 = 6 cm.
5. 7 cm
The perimeter is 2 lots of (length + width), so half of 32 is one length plus one width.
The perimeter is 2 lots of (length + width), so one length and one width make 16 cm; the width is 16 − 9 = 7 cm.

6. D. 14
The perimeter counts the sides round the outside, not the squares inside. Start with one length and one width.
4 + 3 + 4 + 3 = 14 cm.
7. True
Count the small sides round the outside, not the squares. Then compare your count with 12.
Count the small sides round the outside, not the squares: 12, so 12 cm; the shape has 5 squares.
8. D
The perimeter is 2 lots of (length + width). What is half of 12? Look for the rectangle whose length and width add up to that.
For each, add a length and a width, then the same again; the one making 12 is right.
9. False
Count the small sides round the outside, not the squares. Then compare your count with 10.
Count the small sides round the outside, not the squares: 8, so 8 cm; the shape has 4 squares.
10. B
The perimeter is 2 lots of (length + width). What is half of 8? Look for the rectangle whose length and width add up to that.
For each, add a length and a width, then the same again; the one making 8 is right.
11. False
Count the small sides round the outside, not the squares. Then compare your count with 16.
Count the small sides round the outside, not the squares: 14, so 14 cm; the shape has 8 squares.
12. C
The perimeter is 2 lots of (length + width). What is half of 18? Look for the rectangle whose length and width add up to that.
For each, add a length and a width, then the same again; the one making 18 is right.

Marking: 2 for the working, 1 for the answer, 1 for the sentence.

13. 48 cm
First work out how long and how wide the new rectangle is. The sides that meet in the middle aren't on the outside.
Together they make 16 cm by 8 cm, and the sides that meet in the middle are inside: 16 + 8 + 16 + 8 = 48 cm.
14. 34 m
Once round with the rope is the flower bed's perimeter: two lengths and two widths.
Once round is the perimeter: 14 + 3 + 14 + 3 = 34 m.
15. 152 m
First work out one lap, which is the lawn's perimeter; think about two laps after that.
Once round is the perimeter, 29 + 9 + 29 + 9 = 76 m; twice round is 76 + 76 = 152 m.
16. 20 cm
A square's four sides are all the same length: 5 cm each.
A square's four sides are equal: 5 + 5 + 5 + 5 = 20 cm.
17. 156 m
First work out one lap, which is the lawn's perimeter; think about two laps after that.
Once round is the perimeter, 29 + 10 + 29 + 10 = 78 m; twice round is 78 + 78 = 156 m.
18. 52 cm
A square's four sides are all the same length: 13 cm each.
A square's four sides are equal: 13 + 13 + 13 + 13 = 52 cm.

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