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 45 m long and 15 m wide. Fencing costs ₹21 per metre. What does it cost to fence the park all round (in ₹)?
- 2.A park is 14 m long and 9 m wide. Fencing costs ₹27 per metre. What does it cost to fence the park all round (in ₹)?
- 3.A garden is 33 m long and 10 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 4.A park is 53 m long and 20 m wide. Fencing costs ₹7 per metre. What does it cost to fence the park all round (in ₹)?
- 5.A triangle has a base of 8 cm and a height of 12 cm. What is its area (in sq cm)?
- 6.A rectangular field is 13 m long and 4 m wide. What is its area (in sq m)?
- 7.A garden is 17 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)?
- 8.The perimeter of a square is 100 cm. What is its area (in sq cm)?
- 9.A park is 32 m long and 17 m wide. Fencing costs ₹19 per metre. What does it cost to fence the park all round (in ₹)?
- 10.A round wheel has a radius of 42 cm. What is its circumference (take π = 22/7; in cm)?
- 11.A rectangular field is 14 m long and 9 m wide. What is its area (in sq m)?
- 12.A rectangle has an area of 624 sq cm and a length of 26 cm. What is its perimeter (in cm)?
- 13.A triangle has a base of 30 cm and a height of 3 cm. What is its area (in sq cm)?
- 14.The perimeter of a square is 36 cm. What is its area (in sq cm)?
- 15.The perimeter of a square is 44 cm. What is its area (in sq cm)?
- 16.A rectangular field is 8 m long and 3 m wide. What is its area (in sq m)?
- 17.A triangle has a base of 22 cm and a height of 20 cm. What is its area (in sq cm)?
- 18.A rectangle has an area of 220 sq cm and a length of 20 cm. What is its perimeter (in cm)?
- 19.A park is 12 m long and 10 m wide. Fencing costs ₹26 per metre. What does it cost to fence the park all round (in ₹)?
- 20.A round wheel has a radius of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 21.A triangle has a base of 26 cm and a height of 10 cm. What is its area (in sq cm)?
- 22.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 23.A round wheel has a radius of 21 cm. What is its circumference (take π = 22/7; in cm)?
- 24.A rectangle has an area of 126 sq cm and a length of 18 cm. What is its perimeter (in cm)?
- 25.A garden is 30 m long and 5 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 26.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
- 27.The perimeter of a square is 16 cm. What is its area (in sq cm)?
- 28.A park is 42 m long and 26 m wide. Fencing costs ₹15 per metre. What does it cost to fence the park all round (in ₹)?
- 29.A triangle has a base of 8 cm and a height of 22 cm. What is its area (in sq cm)?
- 30.A rectangle has an area of 30 sq cm and a length of 6 cm. What is its perimeter (in cm)?
- 31.The perimeter of a square is 32 cm. What is its area (in sq cm)?
- 32.A park is 15 m long and 9 m wide. Fencing costs ₹6 per metre. What does it cost to fence the park all round (in ₹)?
- 33.A round wheel has a diameter of 56 cm. What is its circumference (take π = 22/7; in 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 120 cm. What is its area (in sq cm)?
- 36.A rectangle has an area of 35 sq cm and a length of 7 cm. What is its perimeter (in cm)?
- 37.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
- 38.A garden is 18 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)?
- 39.A triangle has a base of 14 cm and a height of 19 cm. What is its area (in sq cm)?
- 40.A round wheel has a diameter of 84 cm. What is its circumference (take π = 22/7; in cm)?
Answer key
- 2520
- 1242
- 90
- 1022
- 48
- 52
- 56
- 625
- 1862
- 264
- 126
- 100
- 45
- 81
- 121
- 24
- 220
- 62
- 1144
- 88
- 130
- 154
- 132
- 50
- 156
- 1386
- 16
- 2040
- 88
- 22
- 64
- 288
- 176
- 44
- 900
- 24
- 616
- 58
- 133
- 264
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