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 14 cm (take π = 22/7; answer in sq cm).
- 2.A rectangle has an area of 165 sq cm and a length of 33 cm. What is its perimeter (in cm)?
- 3.A garden is 27 m long and 25 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 4.A garden is 19 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)?
- 5.A rectangle has an area of 85 sq cm and a length of 17 cm. What is its perimeter (in cm)?
- 6.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 7.A garden is 32 m long and 26 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 8.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
- 9.The perimeter of a square is 32 cm. What is its area (in sq cm)?
- 10.A garden is 13 m long and 11 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 11.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
- 12.A garden is 40 m long and 31 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 13.A garden is 36 m long and 22 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 14.A rectangle has an area of 1040 sq cm and a length of 40 cm. What is its perimeter (in cm)?
- 15.The perimeter of a square is 108 cm. What is its area (in sq cm)?
- 16.The perimeter of a square is 28 cm. What is its area (in sq cm)?
- 17.A rectangle has an area of 75 sq cm and a length of 15 cm. What is its perimeter (in cm)?
- 18.A rectangle has an area of 50 sq cm and a length of 10 cm. What is its perimeter (in cm)?
- 19.A triangle has a base of 30 cm and a height of 9 cm. What is its area (in sq cm)?
- 20.A rectangular field is 10 m long and 3 m wide. What is its area (in sq m)?
- 21.A round wheel has a diameter of 70 cm. What is its circumference (take π = 22/7; in cm)?
- 22.A round wheel has a radius of 28 cm. What is its circumference (take π = 22/7; in cm)?
- 23.A round wheel has a diameter of 28 cm. What is its circumference (take π = 22/7; in cm)?
- 24.The perimeter of a square is 112 cm. What is its area (in sq cm)?
- 25.A rectangle has an area of 126 sq cm and a length of 18 cm. What is its perimeter (in cm)?
- 26.A triangle has a base of 4 cm and a height of 22 cm. What is its area (in sq cm)?
- 27.A rectangular field is 10 m long and 4 m wide. What is its area (in sq m)?
- 28.The perimeter of a square is 60 cm. What is its area (in sq cm)?
- 29.The perimeter of a square is 20 cm. What is its area (in sq cm)?
- 30.A rectangle has an area of 493 sq cm and a length of 29 cm. What is its perimeter (in cm)?
- 31.A garden is 19 m long and 15 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 32.A rectangle has an area of 210 sq cm and a length of 21 cm. What is its perimeter (in cm)?
- 33.A rectangular field is 24 m long and 12 m wide. What is its area (in sq m)?
- 34.A garden is 18 m long and 5 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 35.A park is 16 m long and 14 m wide. Fencing costs ₹22 per metre. What does it cost to fence the park all round (in ₹)?
- 36.A rectangle has an area of 300 sq cm and a length of 25 cm. What is its perimeter (in cm)?
- 37.The perimeter of a square is 36 cm. What is its area (in sq cm)?
- 38.A round wheel has a radius of 21 cm. What is its circumference (take π = 22/7; in cm)?
- 39.A rectangular field is 21 m long and 19 m wide. What is its area (in sq m)?
- 40.The perimeter of a square is 100 cm. What is its area (in sq cm)?
Answer key
- 616
- 76
- 348
- 68
- 44
- 154
- 384
- 2464
- 64
- 180
- 1386
- 300
- 248
- 132
- 729
- 49
- 40
- 30
- 135
- 30
- 220
- 176
- 88
- 784
- 50
- 44
- 40
- 225
- 25
- 92
- 72
- 62
- 288
- 50
- 1320
- 74
- 81
- 132
- 399
- 625
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