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 11 cm and a height of 20 cm. What is its area (in sq cm)?
- 2.A park is 38 m long and 33 m wide. Fencing costs ₹30 per metre. What does it cost to fence the park all round (in ₹)?
- 3.A rectangular field is 33 m long and 31 m wide. What is its area (in sq m)?
- 4.A garden is 31 m long and 24 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 5.A round wheel has a radius of 42 cm. What is its circumference (take π = 22/7; in cm)?
- 6.A round wheel has a diameter of 70 cm. What is its circumference (take π = 22/7; in cm)?
- 7.The perimeter of a square is 100 cm. What is its area (in sq cm)?
- 8.A rectangular field is 24 m long and 8 m wide. What is its area (in sq m)?
- 9.A garden is 40 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)?
- 10.A round wheel has a radius of 35 cm. What is its circumference (take π = 22/7; in cm)?
- 11.A garden is 27 m long and 25 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 12.A rectangular field is 6 m long and 3 m wide. What is its area (in sq m)?
- 13.The perimeter of a square is 52 cm. What is its area (in sq cm)?
- 14.A triangle has a base of 27 cm and a height of 12 cm. What is its area (in sq cm)?
- 15.A triangle has a base of 18 cm and a height of 16 cm. What is its area (in sq cm)?
- 16.A rectangular field is 13 m long and 7 m wide. What is its area (in sq m)?
- 17.A round wheel has a radius of 28 cm. What is its circumference (take π = 22/7; in cm)?
- 18.The perimeter of a square is 44 cm. What is its area (in sq cm)?
- 19.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
- 20.A park is 36 m long and 11 m wide. Fencing costs ₹6 per metre. What does it cost to fence the park all round (in ₹)?
- 21.A park is 30 m long and 9 m wide. Fencing costs ₹19 per metre. What does it cost to fence the park all round (in ₹)?
- 22.The perimeter of a square is 24 cm. What is its area (in sq cm)?
- 23.A rectangular field is 6 m long and 5 m wide. What is its area (in sq m)?
- 24.A garden is 29 m long and 23 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 25.A rectangle has an area of 720 sq cm and a length of 36 cm. What is its perimeter (in cm)?
- 26.A round wheel has a radius of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 27.A round wheel has a diameter of 42 cm. What is its circumference (take π = 22/7; in cm)?
- 28.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
- 29.A garden is 28 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)?
- 30.A triangle has a base of 27 cm and a height of 8 cm. What is its area (in sq cm)?
- 31.A rectangle has an area of 975 sq cm and a length of 39 cm. What is its perimeter (in cm)?
- 32.A park is 21 m long and 15 m wide. Fencing costs ₹6 per metre. What does it cost to fence the park all round (in ₹)?
- 33.A triangle has a base of 6 cm and a height of 11 cm. What is its area (in sq cm)?
- 34.A round wheel has a diameter of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 35.The perimeter of a square is 28 cm. What is its area (in sq cm)?
- 36.A triangle has a base of 23 cm and a height of 14 cm. What is its area (in sq cm)?
- 37.A triangle has a base of 25 cm and a height of 20 cm. What is its area (in sq cm)?
- 38.A garden is 21 m long and 14 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 39.A park is 13 m long and 10 m wide. Fencing costs ₹26 per metre. What does it cost to fence the park all round (in ₹)?
- 40.A rectangular field is 24 m long and 20 m wide. What is its area (in sq m)?
Answer key
- 110
- 4260
- 1023
- 114
- 264
- 220
- 625
- 192
- 408
- 220
- 348
- 18
- 169
- 162
- 144
- 91
- 176
- 121
- 616
- 564
- 1482
- 36
- 30
- 224
- 112
- 88
- 132
- 2464
- 70
- 108
- 128
- 432
- 33
- 44
- 49
- 161
- 250
- 156
- 1196
- 480
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