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.The perimeter of a square is 100 cm. What is its area (in sq cm)?
- 2.A garden is 11 m long and 7 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 3.A triangle has a base of 24 cm and a height of 20 cm. What is its area (in sq cm)?
- 4.A garden is 34 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)?
- 5.A rectangular field is 23 m long and 7 m wide. What is its area (in sq m)?
- 6.A park is 19 m long and 18 m wide. Fencing costs ₹12 per metre. What does it cost to fence the park all round (in ₹)?
- 7.A round wheel has a radius of 21 cm. What is its circumference (take π = 22/7; in cm)?
- 8.A round wheel has a radius of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 9.A rectangular field is 30 m long and 7 m wide. What is its area (in sq m)?
- 10.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 11.A garden is 17 m long and 6 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 12.A rectangle has an area of 24 sq cm and a length of 8 cm. What is its perimeter (in cm)?
- 13.A round wheel has a diameter of 84 cm. What is its circumference (take π = 22/7; in cm)?
- 14.A rectangle has an area of 1406 sq cm and a length of 38 cm. What is its perimeter (in cm)?
- 15.A garden is 22 m long and 6 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 16.The perimeter of a square is 24 cm. What is its area (in sq cm)?
- 17.The perimeter of a square is 32 cm. What is its area (in sq cm)?
- 18.The perimeter of a square is 76 cm. What is its area (in sq cm)?
- 19.A rectangle has an area of 462 sq cm and a length of 22 cm. What is its perimeter (in cm)?
- 20.A rectangular field is 7 m long and 4 m wide. What is its area (in sq m)?
- 21.A park is 41 m long and 17 m wide. Fencing costs ₹13 per metre. What does it cost to fence the park all round (in ₹)?
- 22.A rectangle has an area of 126 sq cm and a length of 14 cm. What is its perimeter (in cm)?
- 23.A park is 32 m long and 9 m wide. Fencing costs ₹15 per metre. What does it cost to fence the park all round (in ₹)?
- 24.A rectangle has an area of 252 sq cm and a length of 36 cm. What is its perimeter (in cm)?
- 25.A rectangle has an area of 624 sq cm and a length of 39 cm. What is its perimeter (in cm)?
- 26.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
- 27.A round wheel has a diameter of 42 cm. What is its circumference (take π = 22/7; in cm)?
- 28.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
- 29.A garden is 10 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)?
- 30.A triangle has a base of 20 cm and a height of 5 cm. What is its area (in sq cm)?
- 31.A garden is 32 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)?
- 32.A rectangle has an area of 1131 sq cm and a length of 39 cm. What is its perimeter (in cm)?
- 33.The perimeter of a square is 80 cm. What is its area (in sq cm)?
- 34.A garden is 21 m long and 20 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 35.A rectangular field is 12 m long and 10 m wide. What is its area (in sq m)?
- 36.A triangle has a base of 6 cm and a height of 13 cm. What is its area (in sq cm)?
- 37.A rectangular field is 23 m long and 21 m wide. What is its area (in sq m)?
- 38.A rectangular field is 30 m long and 29 m wide. What is its area (in sq m)?
- 39.A park is 16 m long and 12 m wide. Fencing costs ₹25 per metre. What does it cost to fence the park all round (in ₹)?
- 40.A rectangular field is 7 m long and 3 m wide. What is its area (in sq m)?
Answer key
- 625
- 88
- 240
- 318
- 161
- 888
- 132
- 88
- 210
- 154
- 174
- 22
- 264
- 150
- 128
- 36
- 64
- 361
- 86
- 28
- 1508
- 46
- 1230
- 86
- 110
- 616
- 132
- 2464
- 126
- 50
- 104
- 136
- 400
- 86
- 120
- 39
- 483
- 870
- 1400
- 21
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