Perimeter, area and volume · Ages 9–10

Perimeter and area of rectangles and squares worksheet

Part of: Perimeter and area

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Perimeter, area and volume · Ages 9–10

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

13.A rectangular lawn is 20 m long and 15 m wide. How many metres of fencing are needed to go all the way round it?
Working:
Answer:
14.A square photo frame has a perimeter of 44 cm. How long is each side, in centimetres?
Working:
Answer:
15.A rectangular card has an area of 20 cm² and is 10 cm long. How wide is it, in centimetres?
Working:
Answer:
16.A square photo frame has a perimeter of 72 cm. How long is each side, in centimetres?
Working:
Answer:
17.A rectangular card has an area of 66 cm² and is 6 cm long. How wide is it, in centimetres?
Working:
Answer:
18.A piece of wire 48 cm long is bent into a rectangle, using all of the wire. The rectangle is 13 cm long. How wide is it, in centimetres?
Working:
Answer:

Show the answers and working

Perimeter and area of rectangles and squares worksheet: Answers and working

1. Rectangle, perimeter 46 cm, length 15 cm: width = 8 cm
Half the perimeter is length + width: 46 ÷ 2 = 23, then take the length: 23 − 15 = 8
2. Square, side 2 cm: area = 4 cm²
A square's area is side × side: 2 × 2 = 4
3. Square, area 9 cm²: side = 3 cm
Which number times itself makes 9? 3 × 3 = 9, so the side is 3
4. Square, side 2 cm: perimeter = 8 cm
A square's perimeter is its side × 4: 2 × 4 = 8
5. Rectangle, area 56 cm², length 8 cm: width = 7 cm
Width = area ÷ length: 56 ÷ 8 = 7
6. Square, side 20 cm: perimeter = 80 cm
A square's perimeter is its side × 4: 20 × 4 = 80
7. Square, side 3 cm: area = 9 cm²
A square's area is side × side: 3 × 3 = 9
8. Rectangle 9 cm by 3 cm: area = 27 cm²
Area = length × width: 9 × 3 = 27
9. Rectangle 5 cm by 3 cm: perimeter = 16 cm
Perimeter = (length + width) × 2: 5 + 3 = 8, 8 × 2 = 16
10. Rectangle 5 cm by 4 cm: area = 20 cm²
Area = length × width: 5 × 4 = 20
11. Square, perimeter 20 cm: side = 5 cm
A square has four equal sides: 20 ÷ 4 = 5
12. Square, side 17 cm: perimeter = 68 cm
A square's perimeter is its side × 4: 17 × 4 = 68

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

13. A rectangular lawn is 20 m long and 15 m wide. How many metres of fencing are needed to go all the way round it? (Answer: 70 m)
2 × (20 + 15) = 70
14. A square photo frame has a perimeter of 44 cm. How long is each side, in centimetres? (Answer: 11 cm)
44 ÷ 4 = 11
15. A rectangular card has an area of 20 cm² and is 10 cm long. How wide is it, in centimetres? (Answer: 2 cm)
20 ÷ 10 = 2
16. A square photo frame has a perimeter of 72 cm. How long is each side, in centimetres? (Answer: 18 cm)
72 ÷ 4 = 18
17. A rectangular card has an area of 66 cm² and is 6 cm long. How wide is it, in centimetres? (Answer: 11 cm)
66 ÷ 6 = 11
18. A piece of wire 48 cm long is bent into a rectangle, using all of the wire. The rectangle is 13 cm long. How wide is it, in centimetres? (Answer: 11 cm)
48 ÷ 2 = 24; 48 ÷ 2 − 13 = 11

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