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 16 cm. What is its area (in sq cm)?
- 2.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
- 3.A rectangular field is 17 m long and 16 m wide. What is its area (in sq m)?
- 4.A garden is 35 m long and 22 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 5.A triangle has a base of 8 cm and a height of 6 cm. What is its area (in sq cm)?
- 6.A triangle has a base of 12 cm and a height of 4 cm. What is its area (in sq cm)?
- 7.A round wheel has a diameter of 70 cm. What is its circumference (take π = 22/7; in cm)?
- 8.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
- 9.A round wheel has a diameter of 84 cm. What is its circumference (take π = 22/7; in cm)?
- 10.The perimeter of a square is 100 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.A rectangle has an area of 1026 sq cm and a length of 38 cm. What is its perimeter (in cm)?
- 13.A triangle has a base of 20 cm and a height of 24 cm. What is its area (in sq cm)?
- 14.A triangle has a base of 7 cm and a height of 16 cm. What is its area (in sq cm)?
- 15.A park is 60 m long and 55 m wide. Fencing costs ₹35 per metre. What does it cost to fence the park all round (in ₹)?
- 16.A rectangular field is 24 m long and 15 m wide. What is its area (in sq m)?
- 17.A garden is 17 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)?
- 18.A rectangular field is 11 m long and 9 m wide. What is its area (in sq m)?
- 19.A park is 29 m long and 8 m wide. Fencing costs ₹31 per metre. What does it cost to fence the park all round (in ₹)?
- 20.A park is 20 m long and 5 m wide. Fencing costs ₹20 per metre. What does it cost to fence the park all round (in ₹)?
- 21.A rectangular field is 14 m long and 10 m wide. What is its area (in sq m)?
- 22.The perimeter of a square is 72 cm. What is its area (in sq cm)?
- 23.A rectangle has an area of 192 sq cm and a length of 24 cm. What is its perimeter (in cm)?
- 24.A garden is 21 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)?
- 25.A rectangular field is 9 m long and 4 m wide. What is its area (in sq m)?
- 26.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
- 27.The perimeter of a square is 76 cm. What is its area (in sq cm)?
- 28.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 29.A park is 13 m long and 7 m wide. Fencing costs ₹15 per metre. What does it cost to fence the park all round (in ₹)?
- 30.The perimeter of a square is 20 cm. What is its area (in sq cm)?
- 31.A park is 53 m long and 16 m wide. Fencing costs ₹13 per metre. What does it cost to fence the park all round (in ₹)?
- 32.A triangle has a base of 8 cm and a height of 22 cm. What is its area (in sq cm)?
- 33.The perimeter of a square is 56 cm. What is its area (in sq cm)?
- 34.A rectangular field is 27 m long and 9 m wide. What is its area (in sq m)?
- 35.A rectangle has an area of 135 sq cm and a length of 15 cm. What is its perimeter (in cm)?
- 36.A park is 22 m long and 14 m wide. Fencing costs ₹14 per metre. What does it cost to fence the park all round (in ₹)?
- 37.A rectangle has an area of 216 sq cm and a length of 27 cm. What is its perimeter (in cm)?
- 38.A round wheel has a diameter of 56 cm. What is its circumference (take π = 22/7; in cm)?
- 39.A rectangle has an area of 102 sq cm and a length of 17 cm. What is its perimeter (in cm)?
- 40.A round wheel has a diameter of 42 cm. What is its circumference (take π = 22/7; in cm)?
Answer key
- 16
- 2464
- 272
- 378
- 24
- 24
- 220
- 1386
- 264
- 625
- 132
- 130
- 240
- 56
- 8050
- 360
- 48
- 99
- 2294
- 1000
- 140
- 324
- 64
- 198
- 36
- 616
- 361
- 154
- 600
- 25
- 1794
- 88
- 196
- 243
- 48
- 1008
- 70
- 176
- 46
- 132
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