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 garden is 38 m long and 32 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 2.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
- 3.A park is 50 m long and 11 m wide. Fencing costs ₹11 per metre. What does it cost to fence the park all round (in ₹)?
- 4.A rectangle has an area of 1160 sq cm and a length of 40 cm. What is its perimeter (in cm)?
- 5.The perimeter of a square is 96 cm. What is its area (in sq cm)?
- 6.A garden is 33 m long and 20 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 36 m long and 12 m wide. Fencing costs ₹24 per metre. What does it cost to fence the park all round (in ₹)?
- 8.A garden is 16 m long and 12 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 9.A garden is 15 m long and 5 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 10.A round wheel has a diameter of 42 cm. What is its circumference (take π = 22/7; in cm)?
- 11.A park is 24 m long and 8 m wide. Fencing costs ₹6 per metre. What does it cost to fence the park all round (in ₹)?
- 12.A rectangular field is 34 m long and 30 m wide. What is its area (in sq m)?
- 13.A rectangle has an area of 80 sq cm and a length of 16 cm. What is its perimeter (in cm)?
- 14.A triangle has a base of 8 cm and a height of 13 cm. What is its area (in sq cm)?
- 15.A rectangle has an area of 396 sq cm and a length of 22 cm. What is its perimeter (in cm)?
- 16.A rectangular field is 5 m long and 3 m wide. What is its area (in sq m)?
- 17.A rectangular field is 22 m long and 18 m wide. What is its area (in sq m)?
- 18.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
- 19.A rectangle has an area of 416 sq cm and a length of 32 cm. What is its perimeter (in cm)?
- 20.A rectangular field is 27 m long and 4 m wide. What is its area (in sq m)?
- 21.A rectangle has an area of 21 sq cm and a length of 7 cm. What is its perimeter (in cm)?
- 22.A rectangular field is 26 m long and 18 m wide. What is its area (in sq m)?
- 23.A rectangle has an area of 180 sq cm and a length of 18 cm. What is its perimeter (in cm)?
- 24.A garden is 16 m long and 14 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 25.A park is 24 m long and 6 m wide. Fencing costs ₹34 per metre. What does it cost to fence the park all round (in ₹)?
- 26.A garden is 20 m long and 10 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 27.A rectangle has an area of 27 sq cm and a length of 9 cm. What is its perimeter (in cm)?
- 28.A park is 51 m long and 7 m wide. Fencing costs ₹33 per metre. What does it cost to fence the park all round (in ₹)?
- 29.A park is 57 m long and 30 m wide. Fencing costs ₹32 per metre. What does it cost to fence the park all round (in ₹)?
- 30.A garden is 17 m long and 10 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 31.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 32.A rectangular field is 39 m long and 12 m wide. What is its area (in sq m)?
- 33.A triangle has a base of 8 cm and a height of 14 cm. What is its area (in sq cm)?
- 34.A garden is 18 m long and 8 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 41 m long and 29 m wide. Fencing costs ₹10 per metre. What does it cost to fence the park all round (in ₹)?
- 36.A park is 58 m long and 13 m wide. Fencing costs ₹36 per metre. What does it cost to fence the park all round (in ₹)?
- 37.A rectangle has an area of 230 sq cm and a length of 23 cm. What is its perimeter (in cm)?
- 38.A rectangular field is 38 m long and 30 m wide. What is its area (in sq m)?
- 39.A rectangular field is 26 m long and 12 m wide. What is its area (in sq m)?
- 40.A triangle has a base of 28 cm and a height of 14 cm. What is its area (in sq cm)?
Answer key
- 144
- 616
- 1342
- 138
- 576
- 228
- 2304
- 60
- 96
- 132
- 384
- 1020
- 42
- 52
- 80
- 15
- 396
- 2464
- 90
- 108
- 20
- 468
- 56
- 64
- 2040
- 136
- 24
- 3828
- 5568
- 124
- 154
- 468
- 56
- 56
- 1400
- 5112
- 66
- 1140
- 312
- 196
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