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 park is 35 m long and 14 m wide. Fencing costs ₹35 per metre. What does it cost to fence the park all round (in ₹)?
- 2.A garden is 40 m long and 33 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 3.The perimeter of a square is 92 cm. What is its area (in sq cm)?
- 4.A garden is 33 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)?
- 5.A rectangle has an area of 567 sq cm and a length of 27 cm. What is its perimeter (in cm)?
- 6.The perimeter of a square is 112 cm. What is its area (in sq cm)?
- 7.A triangle has a base of 26 cm and a height of 5 cm. What is its area (in sq cm)?
- 8.A rectangle has an area of 80 sq cm and a length of 16 cm. What is its perimeter (in cm)?
- 9.A rectangle has an area of 27 sq cm and a length of 9 cm. What is its perimeter (in cm)?
- 10.A rectangular field is 37 m long and 31 m wide. What is its area (in sq m)?
- 11.A park is 23 m long and 15 m wide. Fencing costs ₹17 per metre. What does it cost to fence the park all round (in ₹)?
- 12.A garden is 12 m long and 9 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 13.A rectangular field is 27 m long and 9 m wide. What is its area (in sq m)?
- 14.A rectangular field is 24 m long and 8 m wide. What is its area (in sq m)?
- 15.A park is 60 m long and 11 m wide. Fencing costs ₹33 per metre. What does it cost to fence the park all round (in ₹)?
- 16.A triangle has a base of 30 cm and a height of 21 cm. What is its area (in sq cm)?
- 17.A triangle has a base of 19 cm and a height of 4 cm. What is its area (in sq cm)?
- 18.A park is 51 m long and 12 m wide. Fencing costs ₹24 per metre. What does it cost to fence the park all round (in ₹)?
- 19.A park is 33 m long and 5 m wide. Fencing costs ₹20 per metre. What does it cost to fence the park all round (in ₹)?
- 20.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 21.The perimeter of a square is 76 cm. What is its area (in sq cm)?
- 22.A park is 12 m long and 6 m wide. Fencing costs ₹25 per metre. What does it cost to fence the park all round (in ₹)?
- 23.The perimeter of a square is 24 cm. What is its area (in sq cm)?
- 24.The perimeter of a square is 96 cm. What is its area (in sq cm)?
- 25.A garden is 11 m long and 9 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 26.A garden is 37 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)?
- 27.A rectangular field is 20 m long and 11 m wide. What is its area (in sq m)?
- 28.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)?
- 29.A round wheel has a diameter of 28 cm. What is its circumference (take π = 22/7; in cm)?
- 30.A park is 57 m long and 12 m wide. Fencing costs ₹6 per metre. What does it cost to fence the park all round (in ₹)?
- 31.A park is 51 m long and 35 m wide. Fencing costs ₹22 per metre. What does it cost to fence the park all round (in ₹)?
- 32.A triangle has a base of 6 cm and a height of 19 cm. What is its area (in sq cm)?
- 33.A rectangular field is 6 m long and 3 m wide. What is its area (in sq m)?
- 34.A park is 50 m long and 25 m wide. Fencing costs ₹8 per metre. What does it cost to fence the park all round (in ₹)?
- 35.A triangle has a base of 28 cm and a height of 12 cm. What is its area (in sq cm)?
- 36.A park is 28 m long and 5 m wide. Fencing costs ₹31 per metre. What does it cost to fence the park all round (in ₹)?
- 37.A round wheel has a diameter of 56 cm. What is its circumference (take π = 22/7; in cm)?
- 38.A park is 32 m long and 13 m wide. Fencing costs ₹14 per metre. What does it cost to fence the park all round (in ₹)?
- 39.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
- 40.A park is 16 m long and 5 m wide. Fencing costs ₹33 per metre. What does it cost to fence the park all round (in ₹)?
Answer key
- 3430
- 150
- 529
- 176
- 96
- 784
- 65
- 42
- 24
- 1147
- 1292
- 100
- 243
- 192
- 4686
- 315
- 38
- 3024
- 1520
- 154
- 361
- 900
- 36
- 576
- 156
- 378
- 220
- 196
- 88
- 828
- 3784
- 57
- 18
- 1200
- 168
- 2046
- 176
- 1260
- 616
- 1386
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