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Primary 4 Mathematics · Chapter 12 · Answers and explanations

Lesson 12.2: Finding the Length of Squares (answers)

Section A · Multiple choice 4 marks

1. A square has an area of 49 cm². What is the length of one side?1 mark

(A) 14 cm(B) 12 cm(C) 98 cm(D) 7 cm
Answer: (D) 7 cm7 × 7 = 49, so each side is 7 cm.

2. A square has a perimeter of 36 m. What is the length of one side?1 mark

(A) 9 m(B) 18 m(C) 6 m(D) 4 m
Answer: (A) 9 m36 ÷ 4 = 9. Each side is 9 m.

3. A square has a perimeter of 28 cm. What is its area?1 mark

(A) 28 cm²(B) 49 cm²(C) 196 cm²(D) 14 cm²
Answer: (B) 49 cm²Side = 28 ÷ 4 = 7 cm. Area = 7 × 7 = 49 cm².

4. A square has an area of 81 cm². What is its perimeter?1 mark

(A) 18 cm(B) 81 cm(C) 36 cm(D) 27 cm
Answer: (C) 36 cmSide = 9 cm because 9 × 9 = 81. Perimeter = 4 × 9 = 36 cm.

Section B · Write your answer 11 marks

5. A square has an area of 64 cm². What is the length of one side?1 mark

Answer: 8 cm8 × 8 = 64, so each side is 8 cm.

6. A square has a perimeter of 44 cm. What is the length of one side?1 mark

Answer: 11 cm44 ÷ 4 = 11. Each side is 11 cm.

7. A square has a perimeter of 20 cm. What is its area?1 mark

Answer: 25 cm²Side = 20 ÷ 4 = 5 cm. Area = 5 × 5 = 25 cm².

8. A square has an area of 100 cm². What is its perimeter?1 mark

Answer: 40 cmSide = 10 cm because 10 × 10 = 100. Perimeter = 4 × 10 = 40 cm.

9. What is the area of a square with sides of 12 cm?1 mark

Answer: 144 cm²12 × 12 = 144 cm².

10. A square piece of paper has a perimeter of 60 cm. Find its area.2 marks

Answer: 225 cm²Side = 60 ÷ 4 = 15 cm. Area = 15 × 15 = 225 cm².

11. A square garden has an area of 144 m². Ali runs once round it. How far does he run?2 marks

Answer: 48 mSide = 12 m because 12 × 12 = 144. Distance = 4 × 12 = 48 m.

12. A wire 48 cm long is bent to form a square. What is the area of the square?2 marks

Answer: 144 cm²Side = 48 ÷ 4 = 12 cm. Area = 12 × 12 = 144 cm².
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