Area and Perimeter Worksheet
The method (Round and inside): Rectangle: area = l × b, perimeter = 2 × (l + b). Square: area = side × side, perimeter = 4 × side. Triangle: area = ½ × base × height. Circle (π = 22/7): area = π × r × r, circumference = 2 × π × r. Path outside a garden: (l + 2w) × (b + 2w) − l × b.
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- 1.The perimeter of a square is 12 cm. What is its area (in sq cm)?
- 2.A park is 43 m long and 8 m wide. Fencing costs ₹9 per metre. What does it cost to fence the park all round (in ₹)?
- 3.A rectangular field is 6 m long and 4 m wide. What is its area (in sq m)?
- 4.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 5.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
- 6.A garden is 34 m long and 18 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 7.A round wheel has a diameter of 70 cm. What is its circumference (take π = 22/7; in cm)?
- 8.The perimeter of a square is 88 cm. What is its area (in sq cm)?
- 9.A triangle has a base of 22 cm and a height of 9 cm. What is its area (in sq cm)?
- 10.A triangle has a base of 9 cm and a height of 14 cm. What is its area (in sq cm)?
- 11.A round wheel has a radius of 21 cm. What is its circumference (take π = 22/7; in cm)?
- 12.The perimeter of a square is 112 cm. What is its area (in sq cm)?
- 13.A round wheel has a diameter of 42 cm. What is its circumference (take π = 22/7; in cm)?
- 14.The perimeter of a square is 56 cm. What is its area (in sq cm)?
- 15.A park is 49 m long and 43 m wide. Fencing costs ₹13 per metre. What does it cost to fence the park all round (in ₹)?
- 16.A rectangle has an area of 90 sq cm and a length of 30 cm. What is its perimeter (in cm)?
- 17.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
- 18.A garden is 26 m long and 19 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 19.A garden is 31 m long and 12 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 20.A rectangle has an area of 255 sq cm and a length of 17 cm. What is its perimeter (in cm)?
- 21.A park is 17 m long and 16 m wide. Fencing costs ₹9 per metre. What does it cost to fence the park all round (in ₹)?
- 22.A rectangular field is 40 m long and 3 m wide. What is its area (in sq m)?
- 23.A round wheel has a diameter of 56 cm. What is its circumference (take π = 22/7; in cm)?
- 24.A triangle has a base of 29 cm and a height of 6 cm. What is its area (in sq cm)?
- 25.A rectangle has an area of 425 sq cm and a length of 25 cm. What is its perimeter (in cm)?
- 26.The perimeter of a square is 52 cm. What is its area (in sq cm)?
- 27.A garden is 24 m long and 9 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 28.A park is 31 m long and 25 m wide. Fencing costs ₹27 per metre. What does it cost to fence the park all round (in ₹)?
- 29.A triangle has a base of 5 cm and a height of 10 cm. What is its area (in sq cm)?
- 30.A rectangular field is 18 m long and 9 m wide. What is its area (in sq m)?
- 31.A rectangle has an area of 120 sq cm and a length of 20 cm. What is its perimeter (in cm)?
- 32.The perimeter of a square is 16 cm. What is its area (in sq cm)?
- 33.A garden is 19 m long and 5 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 34.A rectangular field is 15 m long and 13 m wide. What is its area (in sq m)?
- 35.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its perimeter (in cm)?
- 36.A triangle has a base of 8 cm and a height of 6 cm. What is its area (in sq cm)?
- 37.A round wheel has a radius of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 38.A rectangular field is 5 m long and 4 m wide. What is its area (in sq m)?
- 39.A park is 17 m long and 16 m wide. Fencing costs ₹33 per metre. What does it cost to fence the park all round (in ₹)?
- 40.A triangle has a base of 9 cm and a height of 16 cm. What is its area (in sq cm)?
Answer key
- 9
- 918
- 24
- 154
- 616
- 108
- 220
- 484
- 99
- 63
- 132
- 784
- 132
- 196
- 2392
- 66
- 2464
- 306
- 294
- 64
- 594
- 120
- 176
- 87
- 84
- 169
- 234
- 3024
- 25
- 162
- 52
- 16
- 180
- 195
- 60
- 24
- 88
- 20
- 2178
- 72
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