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 30 cm and a height of 4 cm. What is its area (in sq cm)?
- 2.A garden is 31 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)?
- 3.A triangle has a base of 21 cm and a height of 18 cm. What is its area (in sq cm)?
- 4.A triangle has a base of 10 cm and a height of 9 cm. What is its area (in sq cm)?
- 5.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 6.A park is 40 m long and 16 m wide. Fencing costs ₹29 per metre. What does it cost to fence the park all round (in ₹)?
- 7.A triangle has a base of 22 cm and a height of 5 cm. What is its area (in sq cm)?
- 8.The perimeter of a square is 76 cm. What is its area (in sq cm)?
- 9.A round wheel has a diameter of 84 cm. What is its circumference (take π = 22/7; in cm)?
- 10.A round wheel has a radius of 7 cm. What is its circumference (take π = 22/7; in cm)?
- 11.A round wheel has a diameter of 70 cm. What is its circumference (take π = 22/7; in cm)?
- 12.A rectangular field is 28 m long and 15 m wide. What is its area (in sq m)?
- 13.A garden is 35 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)?
- 14.A round wheel has a radius of 28 cm. What is its circumference (take π = 22/7; in cm)?
- 15.A rectangle has an area of 416 sq cm and a length of 26 cm. What is its perimeter (in cm)?
- 16.A triangle has a base of 12 cm and a height of 21 cm. What is its area (in sq cm)?
- 17.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
- 18.A rectangle has an area of 468 sq cm and a length of 36 cm. What is its perimeter (in cm)?
- 19.A rectangular field is 32 m long and 13 m wide. What is its area (in sq m)?
- 20.The perimeter of a square is 84 cm. What is its area (in sq cm)?
- 21.A triangle has a base of 27 cm and a height of 18 cm. What is its area (in sq cm)?
- 22.A rectangle has an area of 96 sq cm and a length of 12 cm. What is its perimeter (in cm)?
- 23.The perimeter of a square is 16 cm. What is its area (in sq cm)?
- 24.A rectangular field is 22 m long and 5 m wide. What is its area (in sq m)?
- 25.A park is 20 m long and 13 m wide. Fencing costs ₹35 per metre. What does it cost to fence the park all round (in ₹)?
- 26.A triangle has a base of 12 cm and a height of 23 cm. What is its area (in sq cm)?
- 27.A garden is 30 m long and 8 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 28.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
- 29.A garden is 30 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)?
- 30.A garden is 15 m long and 7 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 31.A rectangular field is 18 m long and 5 m wide. What is its area (in sq m)?
- 32.The perimeter of a square is 116 cm. What is its area (in sq cm)?
- 33.A triangle has a base of 24 cm and a height of 24 cm. What is its area (in sq cm)?
- 34.A rectangle has an area of 936 sq cm and a length of 36 cm. What is its perimeter (in cm)?
- 35.The perimeter of a square is 92 cm. What is its area (in sq cm)?
- 36.A rectangular field is 34 m long and 25 m wide. What is its area (in sq m)?
- 37.A park is 20 m long and 7 m wide. Fencing costs ₹16 per metre. What does it cost to fence the park all round (in ₹)?
- 38.A park is 52 m long and 15 m wide. Fencing costs ₹13 per metre. What does it cost to fence the park all round (in ₹)?
- 39.A rectangular field is 18 m long and 3 m wide. What is its area (in sq m)?
- 40.A round wheel has a diameter of 56 cm. What is its circumference (take π = 22/7; in cm)?
Answer key
- 60
- 168
- 189
- 45
- 154
- 3248
- 55
- 361
- 264
- 44
- 220
- 420
- 84
- 176
- 84
- 126
- 616
- 98
- 416
- 441
- 243
- 40
- 16
- 110
- 2310
- 138
- 264
- 1386
- 92
- 48
- 90
- 841
- 288
- 124
- 529
- 850
- 864
- 1742
- 54
- 176
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