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.
NameDateTime takenScore ___ / 40
- 1.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
- 2.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 3.A triangle has a base of 4 cm and a height of 15 cm. What is its area (in sq cm)?
- 4.A garden is 33 m long and 21 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 5.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
- 6.A garden is 21 m long and 13 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 7.A garden is 17 m long and 13 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 8.A round wheel has a diameter of 28 cm. What is its circumference (take π = 22/7; in cm)?
- 9.A park is 14 m long and 6 m wide. Fencing costs ₹6 per metre. What does it cost to fence the park all round (in ₹)?
- 10.A triangle has a base of 9 cm and a height of 6 cm. What is its area (in sq cm)?
- 11.A park is 40 m long and 31 m wide. Fencing costs ₹28 per metre. What does it cost to fence the park all round (in ₹)?
- 12.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its perimeter (in cm)?
- 13.A garden is 17 m long and 13 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 14.A rectangular field is 17 m long and 5 m wide. What is its area (in sq m)?
- 15.The perimeter of a square is 100 cm. What is its area (in sq cm)?
- 16.A rectangle has an area of 30 sq cm and a length of 6 cm. What is its perimeter (in cm)?
- 17.The perimeter of a square is 60 cm. What is its area (in sq cm)?
- 18.A rectangular field is 36 m long and 21 m wide. What is its area (in sq m)?
- 19.A round wheel has a diameter of 70 cm. What is its circumference (take π = 22/7; in cm)?
- 20.A garden is 10 m long and 8 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 21.A rectangle has an area of 90 sq cm and a length of 18 cm. What is its perimeter (in cm)?
- 22.A rectangle has an area of 54 sq cm and a length of 18 cm. What is its perimeter (in cm)?
- 23.A rectangular field is 40 m long and 36 m wide. What is its area (in sq m)?
- 24.A round wheel has a radius of 28 cm. What is its circumference (take π = 22/7; in cm)?
- 25.A round wheel has a radius of 21 cm. What is its circumference (take π = 22/7; in cm)?
- 26.A park is 11 m long and 7 m wide. Fencing costs ₹37 per metre. What does it cost to fence the park all round (in ₹)?
- 27.A triangle has a base of 27 cm and a height of 8 cm. What is its area (in sq cm)?
- 28.A triangle has a base of 8 cm and a height of 7 cm. What is its area (in sq cm)?
- 29.A rectangular field is 10 m long and 7 m wide. What is its area (in sq m)?
- 30.A rectangular field is 31 m long and 17 m wide. What is its area (in sq m)?
- 31.A rectangular field is 19 m long and 7 m wide. What is its area (in sq m)?
- 32.The perimeter of a square is 28 cm. What is its area (in sq cm)?
- 33.A rectangle has an area of 130 sq cm and a length of 26 cm. What is its perimeter (in cm)?
- 34.A triangle has a base of 11 cm and a height of 12 cm. What is its area (in sq cm)?
- 35.A rectangle has an area of 260 sq cm and a length of 26 cm. What is its perimeter (in cm)?
- 36.The perimeter of a square is 88 cm. What is its area (in sq cm)?
- 37.A garden is 20 m long and 17 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 38.A park is 14 m long and 13 m wide. Fencing costs ₹27 per metre. What does it cost to fence the park all round (in ₹)?
- 39.A rectangular field is 11 m long and 9 m wide. What is its area (in sq m)?
- 40.A park is 46 m long and 33 m wide. Fencing costs ₹11 per metre. What does it cost to fence the park all round (in ₹)?
Answer key
- 1386
- 154
- 30
- 112
- 616
- 152
- 64
- 88
- 240
- 27
- 3976
- 22
- 216
- 85
- 625
- 22
- 225
- 756
- 220
- 88
- 46
- 42
- 1440
- 176
- 132
- 1332
- 108
- 28
- 70
- 527
- 133
- 49
- 62
- 66
- 72
- 484
- 164
- 1458
- 99
- 1738
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