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.A rectangular field is 35 m long and 32 m wide. What is its area (in sq m)?
- 2.A rectangle has an area of 84 sq cm and a length of 12 cm. What is its perimeter (in cm)?
- 3.The perimeter of a square is 40 cm. What is its area (in sq cm)?
- 4.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
- 5.A rectangular field is 30 m long and 25 m wide. What is its area (in sq m)?
- 6.A garden is 38 m long and 28 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 7.A park is 54 m long and 32 m wide. Fencing costs ₹36 per metre. What does it cost to fence the park all round (in ₹)?
- 8.A rectangle has an area of 408 sq cm and a length of 34 cm. What is its perimeter (in cm)?
- 9.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 10.A park is 30 m long and 15 m wide. Fencing costs ₹36 per metre. What does it cost to fence the park all round (in ₹)?
- 11.A round wheel has a radius of 35 cm. What is its circumference (take π = 22/7; in cm)?
- 12.A triangle has a base of 18 cm and a height of 23 cm. What is its area (in sq cm)?
- 13.A round wheel has a radius of 42 cm. What is its circumference (take π = 22/7; in cm)?
- 14.A triangle has a base of 4 cm and a height of 6 cm. What is its area (in sq cm)?
- 15.The perimeter of a square is 72 cm. What is its area (in sq cm)?
- 16.A triangle has a base of 9 cm and a height of 16 cm. What is its area (in sq cm)?
- 17.A park is 56 m long and 17 m wide. Fencing costs ₹5 per metre. What does it cost to fence the park all round (in ₹)?
- 18.A triangle has a base of 14 cm and a height of 15 cm. What is its area (in sq cm)?
- 19.A triangle has a base of 23 cm and a height of 14 cm. What is its area (in sq cm)?
- 20.A rectangular field is 25 m long and 3 m wide. What is its area (in sq m)?
- 21.A garden is 29 m long and 9 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 22.A garden is 17 m long and 15 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 23.A rectangle has an area of 15 sq cm and a length of 5 cm. What is its perimeter (in cm)?
- 24.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
- 25.A garden is 17 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)?
- 26.A rectangular field is 21 m long and 6 m wide. What is its area (in sq m)?
- 27.A rectangle has an area of 66 sq cm and a length of 22 cm. What is its perimeter (in cm)?
- 28.The perimeter of a square is 28 cm. What is its area (in sq cm)?
- 29.A triangle has a base of 5 cm and a height of 14 cm. What is its area (in sq cm)?
- 30.A round wheel has a diameter of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 31.A rectangle has an area of 216 sq cm and a length of 36 cm. What is its perimeter (in cm)?
- 32.A rectangle has an area of 170 sq cm and a length of 34 cm. What is its perimeter (in cm)?
- 33.A round wheel has a diameter of 56 cm. What is its circumference (take π = 22/7; in cm)?
- 34.A garden is 23 m long and 11 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 35.The perimeter of a square is 64 cm. What is its area (in sq cm)?
- 36.A garden is 19 m long and 15 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 37.A rectangular field is 38 m long and 30 m wide. What is its area (in sq m)?
- 38.A park is 38 m long and 30 m wide. Fencing costs ₹12 per metre. What does it cost to fence the park all round (in ₹)?
- 39.A garden is 16 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)?
- 40.A garden is 12 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)?
Answer key
- 1120
- 38
- 100
- 616
- 750
- 280
- 6192
- 92
- 154
- 3240
- 220
- 207
- 264
- 12
- 324
- 72
- 730
- 105
- 161
- 75
- 80
- 228
- 16
- 2464
- 116
- 126
- 50
- 49
- 35
- 44
- 84
- 78
- 176
- 152
- 256
- 240
- 1140
- 1632
- 46
- 38
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