Rectangle ABCD with dimensions 8 cm by 5 cm, showing diagonal AC.
Educational worksheet: Area and Perimeter of Rectangles (whole numbers; range 1-9) (A). Download and print for classroom or home learning activities.
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Step-by-step solution for: Area and Perimeter of Rectangles (whole numbers; range 1-9) (A)
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Show Answer Key & Explanations
Step-by-step solution for: Area and Perimeter of Rectangles (whole numbers; range 1-9) (A)
Let’s solve each problem step by step with clear explanations.
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9. What is the circumference of a circle whose diameter is 49 m?
> Formula: Circumference = π × diameter
> Use π ≈ 22/7 (common in such problems unless specified otherwise)
C = π × d = (22/7) × 49 = 22 × 7 = 154 m
✔ Answer: 154 m
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10. What is the circumference of a circle whose radius is 14 cm?
> Formula: C = 2πr
C = 2 × (22/7) × 14 = 2 × 22 × 2 = 88 cm
✔ Answer: 88 cm
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11. The radius of a circle is 7 cm. The circle is divided into two equal parts. What is the perimeter of each semi-circular part?
> A semi-circle has half the circumference + the diameter.
Half circumference = (1/2) × 2πr = πr = (22/7) × 7 = 22 cm
Diameter = 2r = 14 cm
Perimeter = 22 + 14 = 36 cm
✔ Answer: 36 cm
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12. Find the area of a circle if its radius is 7 cm.
> Formula: Area = πr²
A = (22/7) × 7² = 22 × 7 = 154 cm²
✔ Answer: 154 cm²
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13. The diameter of a circle is 28 cm. Find its area.
> Radius r = 28/2 = 14 cm
> Area = πr² = (22/7) × 14² = (22/7) × 196 = 22 × 28 = 616 cm²
✔ Answer: 616 cm²
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14. If the circumference of a circular sheet is 154 cm, find its diameter.
> C = πd → d = C / π = 154 / (22/7) = 154 × 7 / 22 = 7 × 7 = 49 cm
✔ Answer: 49 cm
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15. Find the circumference of a wheel whose radius is 21 cm. Also find the distance covered by it in 10 revolutions.
> Circumference = 2πr = 2 × (22/7) × 21 = 2 × 22 × 3 = 132 cm
> Distance in 10 revolutions = 10 × 132 = 1320 cm or 13.2 m
✔ Answer: Circumference = 132 cm; Distance in 10 revs = 1320 cm
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16. If the ratio of the diameter of two circles is 2 : 5, find the ratio of their circumferences.
> Circumference ∝ diameter → So ratio of circumferences = ratio of diameters = 2 : 5
✔ Answer: 2 : 5
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17. The diameter of a car’s tyre is 70 cm. Find the distance covered by it in 5 revolutions.
> Circumference = πd = (22/7) × 70 = 220 cm
> Distance in 5 revs = 5 × 220 = 1100 cm or 11 m
✔ Answer: 1100 cm
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18. The circumference of a circle is 31.4 cm. Find its radius.
> C = 2πr → r = C / (2π)
> Use π ≈ 3.14 (since 31.4 suggests decimal π)
r = 31.4 / (2 × 3.14) = 31.4 / 6.28 = 5 cm
✔ Answer: 5 cm
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19. If the area of a circle is 154 cm², find its radius.
> A = πr² → r² = A / π = 154 / (22/7) = 154 × 7 / 22 = 49
> r = √49 = 7 cm
✔ Answer: 7 cm
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20. A person starts walking around a square field and in reaching back to the starting place he travels 3496 m. Find the side of the square field.
> Distance walked = Perimeter of square = 4 × side
> So, side = 3496 / 4 = 874 m
✔ Answer: 874 m
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21. Calculate the breadth of the rectangle whose length and breadth are in the ratio 5 : 7 and perimeter is 120 m.
> Let length = 5x, breadth = 7x
> Perimeter = 2(length + breadth) = 2(5x + 7x) = 2(12x) = 24x
> 24x = 120 → x = 5
> Breadth = 7x = 7 × 5 = 35 m
✔ Answer: 35 m
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22. In rectangle ABCD, AC is a diagonal, length = 8 cm and breadth = 5 cm. Find the area of triangle ABC.
> Rectangle ABCD: AB = 8 cm, BC = 5 cm
> Diagonal AC divides rectangle into two equal triangles: ABC and ADC
> Area of rectangle = 8 × 5 = 40 cm²
> Area of triangle ABC = half of that = 20 cm²
✔ Answer: 20 cm²
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23. PQRS is a square and it is divided into four triangles as shown below. If a side of the square is 7 cm, find the area of each triangle.
> Square area = side² = 7² = 49 cm²
> Divided into 4 equal triangles by diagonals → Each triangle has area = 49 / 4 = 12.25 cm²
✔ Answer: 12.25 cm²
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## ✔ Final Answers Summary:
9. 154 m
10. 88 cm
11. 36 cm
12. 154 cm²
13. 616 cm²
14. 49 cm
15. Circumference: 132 cm, Distance: 1320 cm
16. 2 : 5
17. 1100 cm
18. 5 cm
19. 7 cm
20. 874 m
21. 35 m
22. 20 cm²
23. 12.25 cm²
Let me know if you want diagrams or further clarification!
---
9. What is the circumference of a circle whose diameter is 49 m?
> Formula: Circumference = π × diameter
> Use π ≈ 22/7 (common in such problems unless specified otherwise)
C = π × d = (22/7) × 49 = 22 × 7 = 154 m
✔ Answer: 154 m
---
10. What is the circumference of a circle whose radius is 14 cm?
> Formula: C = 2πr
C = 2 × (22/7) × 14 = 2 × 22 × 2 = 88 cm
✔ Answer: 88 cm
---
11. The radius of a circle is 7 cm. The circle is divided into two equal parts. What is the perimeter of each semi-circular part?
> A semi-circle has half the circumference + the diameter.
Half circumference = (1/2) × 2πr = πr = (22/7) × 7 = 22 cm
Diameter = 2r = 14 cm
Perimeter = 22 + 14 = 36 cm
✔ Answer: 36 cm
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12. Find the area of a circle if its radius is 7 cm.
> Formula: Area = πr²
A = (22/7) × 7² = 22 × 7 = 154 cm²
✔ Answer: 154 cm²
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13. The diameter of a circle is 28 cm. Find its area.
> Radius r = 28/2 = 14 cm
> Area = πr² = (22/7) × 14² = (22/7) × 196 = 22 × 28 = 616 cm²
✔ Answer: 616 cm²
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14. If the circumference of a circular sheet is 154 cm, find its diameter.
> C = πd → d = C / π = 154 / (22/7) = 154 × 7 / 22 = 7 × 7 = 49 cm
✔ Answer: 49 cm
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15. Find the circumference of a wheel whose radius is 21 cm. Also find the distance covered by it in 10 revolutions.
> Circumference = 2πr = 2 × (22/7) × 21 = 2 × 22 × 3 = 132 cm
> Distance in 10 revolutions = 10 × 132 = 1320 cm or 13.2 m
✔ Answer: Circumference = 132 cm; Distance in 10 revs = 1320 cm
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16. If the ratio of the diameter of two circles is 2 : 5, find the ratio of their circumferences.
> Circumference ∝ diameter → So ratio of circumferences = ratio of diameters = 2 : 5
✔ Answer: 2 : 5
---
17. The diameter of a car’s tyre is 70 cm. Find the distance covered by it in 5 revolutions.
> Circumference = πd = (22/7) × 70 = 220 cm
> Distance in 5 revs = 5 × 220 = 1100 cm or 11 m
✔ Answer: 1100 cm
---
18. The circumference of a circle is 31.4 cm. Find its radius.
> C = 2πr → r = C / (2π)
> Use π ≈ 3.14 (since 31.4 suggests decimal π)
r = 31.4 / (2 × 3.14) = 31.4 / 6.28 = 5 cm
✔ Answer: 5 cm
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19. If the area of a circle is 154 cm², find its radius.
> A = πr² → r² = A / π = 154 / (22/7) = 154 × 7 / 22 = 49
> r = √49 = 7 cm
✔ Answer: 7 cm
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20. A person starts walking around a square field and in reaching back to the starting place he travels 3496 m. Find the side of the square field.
> Distance walked = Perimeter of square = 4 × side
> So, side = 3496 / 4 = 874 m
✔ Answer: 874 m
---
21. Calculate the breadth of the rectangle whose length and breadth are in the ratio 5 : 7 and perimeter is 120 m.
> Let length = 5x, breadth = 7x
> Perimeter = 2(length + breadth) = 2(5x + 7x) = 2(12x) = 24x
> 24x = 120 → x = 5
> Breadth = 7x = 7 × 5 = 35 m
✔ Answer: 35 m
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22. In rectangle ABCD, AC is a diagonal, length = 8 cm and breadth = 5 cm. Find the area of triangle ABC.
> Rectangle ABCD: AB = 8 cm, BC = 5 cm
> Diagonal AC divides rectangle into two equal triangles: ABC and ADC
> Area of rectangle = 8 × 5 = 40 cm²
> Area of triangle ABC = half of that = 20 cm²
✔ Answer: 20 cm²
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23. PQRS is a square and it is divided into four triangles as shown below. If a side of the square is 7 cm, find the area of each triangle.
> Square area = side² = 7² = 49 cm²
> Divided into 4 equal triangles by diagonals → Each triangle has area = 49 / 4 = 12.25 cm²
✔ Answer: 12.25 cm²
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## ✔ Final Answers Summary:
9. 154 m
10. 88 cm
11. 36 cm
12. 154 cm²
13. 616 cm²
14. 49 cm
15. Circumference: 132 cm, Distance: 1320 cm
16. 2 : 5
17. 1100 cm
18. 5 cm
19. 7 cm
20. 874 m
21. 35 m
22. 20 cm²
23. 12.25 cm²
Let me know if you want diagrams or further clarification!
Parent Tip: Review the logic above to help your child master the concept of area and perimeter worksheets with answers pdf.
