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.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
- 2.A garden is 22 m long and 19 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 3.A park is 24 m long and 11 m wide. Fencing costs ₹37 per metre. What does it cost to fence the park all round (in ₹)?
- 4.A rectangular field is 8 m long and 6 m wide. What is its area (in sq m)?
- 5.The perimeter of a square is 28 cm. What is its area (in sq cm)?
- 6.A rectangle has an area of 90 sq cm and a length of 15 cm. What is its perimeter (in cm)?
- 7.A triangle has a base of 28 cm and a height of 9 cm. What is its area (in sq cm)?
- 8.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
- 9.A rectangle has an area of 20 sq cm and a length of 5 cm. What is its perimeter (in cm)?
- 10.The perimeter of a square is 16 cm. What is its area (in sq cm)?
- 11.A garden is 22 m long and 14 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 12.A triangle has a base of 22 cm and a height of 6 cm. What is its area (in sq cm)?
- 13.The perimeter of a square is 48 cm. What is its area (in sq cm)?
- 14.A rectangular field is 20 m long and 11 m wide. What is its area (in sq m)?
- 15.A round wheel has a diameter of 28 cm. What is its circumference (take π = 22/7; in cm)?
- 16.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its perimeter (in cm)?
- 17.A rectangle has an area of 406 sq cm and a length of 29 cm. What is its perimeter (in cm)?
- 18.A garden is 16 m long and 12 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 19.A garden is 32 m long and 13 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 20.A rectangular field is 7 m long and 4 m wide. What is its area (in sq m)?
- 21.A rectangular field is 9 m long and 7 m wide. What is its area (in sq m)?
- 22.A park is 25 m long and 13 m wide. Fencing costs ₹25 per metre. What does it cost to fence the park all round (in ₹)?
- 23.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
- 24.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 25.A park is 30 m long and 16 m wide. Fencing costs ₹25 per metre. What does it cost to fence the park all round (in ₹)?
- 26.A round wheel has a radius of 42 cm. What is its circumference (take π = 22/7; in cm)?
- 27.A rectangle has an area of 75 sq cm and a length of 25 cm. What is its perimeter (in cm)?
- 28.A rectangular field is 25 m long and 16 m wide. What is its area (in sq m)?
- 29.A rectangular field is 16 m long and 3 m wide. What is its area (in sq m)?
- 30.A triangle has a base of 7 cm and a height of 20 cm. What is its area (in sq cm)?
- 31.A garden is 18 m long and 14 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 32.A park is 44 m long and 42 m wide. Fencing costs ₹38 per metre. What does it cost to fence the park all round (in ₹)?
- 33.The perimeter of a square is 12 cm. What is its area (in sq cm)?
- 34.A garden is 26 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 triangle has a base of 16 cm and a height of 21 cm. What is its area (in sq cm)?
- 36.A round wheel has a radius of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 37.A round wheel has a radius of 7 cm. What is its circumference (take π = 22/7; in cm)?
- 38.A triangle has a base of 5 cm and a height of 12 cm. What is its area (in sq cm)?
- 39.A rectangle has an area of 231 sq cm and a length of 21 cm. What is its perimeter (in cm)?
- 40.A rectangle has an area of 812 sq cm and a length of 29 cm. What is its perimeter (in cm)?
Answer key
- 616
- 282
- 2590
- 48
- 49
- 42
- 126
- 1386
- 18
- 16
- 252
- 66
- 144
- 220
- 88
- 22
- 86
- 128
- 306
- 28
- 63
- 1900
- 2464
- 154
- 2300
- 264
- 56
- 400
- 48
- 70
- 228
- 6536
- 9
- 72
- 168
- 88
- 44
- 30
- 64
- 114
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