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 triangle has a base of 26 cm and a height of 19 cm. What is its area (in sq cm)?
- 2.A round wheel has a radius of 21 cm. What is its circumference (take π = 22/7; in cm)?
- 3.A park is 35 m long and 32 m wide. Fencing costs ₹19 per metre. What does it cost to fence the park all round (in ₹)?
- 4.The perimeter of a square is 40 cm. What is its area (in sq cm)?
- 5.A park is 43 m long and 14 m wide. Fencing costs ₹7 per metre. What does it cost to fence the park all round (in ₹)?
- 6.A park is 56 m long and 9 m wide. Fencing costs ₹14 per metre. What does it cost to fence the park all round (in ₹)?
- 7.A garden is 28 m long and 17 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 8.A garden is 20 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)?
- 9.A rectangular field is 11 m long and 8 m wide. What is its area (in sq m)?
- 10.A garden is 13 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)?
- 11.A rectangular field is 28 m long and 11 m wide. What is its area (in sq m)?
- 12.A triangle has a base of 12 cm and a height of 14 cm. What is its area (in sq cm)?
- 13.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 14.A round wheel has a diameter of 28 cm. What is its circumference (take π = 22/7; in cm)?
- 15.A round wheel has a diameter of 56 cm. What is its circumference (take π = 22/7; in cm)?
- 16.A rectangular field is 32 m long and 4 m wide. What is its area (in sq m)?
- 17.A garden is 11 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)?
- 18.A rectangle has an area of 342 sq cm and a length of 19 cm. What is its perimeter (in cm)?
- 19.A triangle has a base of 23 cm and a height of 6 cm. What is its area (in sq cm)?
- 20.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
- 21.A park is 30 m long and 20 m wide. Fencing costs ₹18 per metre. What does it cost to fence the park all round (in ₹)?
- 22.A garden is 27 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)?
- 23.A garden is 26 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)?
- 24.A rectangle has an area of 396 sq cm and a length of 22 cm. What is its perimeter (in cm)?
- 25.The perimeter of a square is 116 cm. What is its area (in sq cm)?
- 26.A triangle has a base of 10 cm and a height of 6 cm. What is its area (in sq cm)?
- 27.A triangle has a base of 17 cm and a height of 18 cm. What is its area (in sq cm)?
- 28.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
- 29.A round wheel has a radius of 42 cm. What is its circumference (take π = 22/7; in cm)?
- 30.A triangle has a base of 24 cm and a height of 4 cm. What is its area (in sq cm)?
- 31.A triangle has a base of 14 cm and a height of 15 cm. What is its area (in sq cm)?
- 32.The perimeter of a square is 52 cm. What is its area (in sq cm)?
- 33.A triangle has a base of 26 cm and a height of 18 cm. What is its area (in sq cm)?
- 34.A park is 38 m long and 21 m wide. Fencing costs ₹22 per metre. What does it cost to fence the park all round (in ₹)?
- 35.A rectangle has an area of 336 sq cm and a length of 24 cm. What is its perimeter (in cm)?
- 36.A park is 48 m long and 21 m wide. Fencing costs ₹40 per metre. What does it cost to fence the park all round (in ₹)?
- 37.A garden is 35 m long and 20 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 38.A rectangular field is 17 m long and 10 m wide. What is its area (in sq m)?
- 39.A park is 24 m long and 20 m wide. Fencing costs ₹9 per metre. What does it cost to fence the park all round (in ₹)?
- 40.A rectangle has an area of 204 sq cm and a length of 34 cm. What is its perimeter (in cm)?
Answer key
- 247
- 132
- 2546
- 100
- 798
- 1820
- 196
- 222
- 88
- 92
- 308
- 84
- 154
- 88
- 176
- 128
- 44
- 74
- 69
- 2464
- 1800
- 86
- 66
- 80
- 841
- 30
- 153
- 1386
- 264
- 48
- 105
- 169
- 234
- 2596
- 76
- 5520
- 366
- 170
- 792
- 80
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