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.
NameDateTime takenScore ___ / 40
- 1.A round wheel has a radius of 7 cm. What is its circumference (take π = 22/7; in cm)?
- 2.A park is 19 m long and 9 m wide. Fencing costs ₹9 per metre. What does it cost to fence the park all round (in ₹)?
- 3.A park is 25 m long and 13 m wide. Fencing costs ₹33 per metre. What does it cost to fence the park all round (in ₹)?
- 4.The perimeter of a square is 16 cm. What is its area (in sq cm)?
- 5.A rectangle has an area of 360 sq cm and a length of 30 cm. What is its perimeter (in cm)?
- 6.The perimeter of a square is 120 cm. What is its area (in sq cm)?
- 7.The perimeter of a square is 104 cm. What is its area (in sq cm)?
- 8.A garden is 21 m long and 15 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 9.A rectangular field is 35 m long and 30 m wide. What is its area (in sq m)?
- 10.A rectangle has an area of 77 sq cm and a length of 11 cm. What is its perimeter (in cm)?
- 11.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its perimeter (in cm)?
- 12.A triangle has a base of 6 cm and a height of 19 cm. What is its area (in sq cm)?
- 13.A triangle has a base of 12 cm and a height of 18 cm. What is its area (in sq cm)?
- 14.A round wheel has a diameter of 84 cm. What is its circumference (take π = 22/7; in cm)?
- 15.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 16.A rectangle has an area of 84 sq cm and a length of 28 cm. What is its perimeter (in cm)?
- 17.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
- 18.A park is 48 m long and 5 m wide. Fencing costs ₹13 per metre. What does it cost to fence the park all round (in ₹)?
- 19.A round wheel has a diameter of 56 cm. What is its circumference (take π = 22/7; in cm)?
- 20.A garden is 27 m long and 23 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 21.A rectangle has an area of 190 sq cm and a length of 38 cm. What is its perimeter (in cm)?
- 22.A rectangle has an area of 627 sq cm and a length of 33 cm. What is its perimeter (in cm)?
- 23.A park is 24 m long and 19 m wide. Fencing costs ₹36 per metre. What does it cost to fence the park all round (in ₹)?
- 24.A rectangular field is 13 m long and 6 m wide. What is its area (in sq m)?
- 25.The perimeter of a square is 40 cm. What is its area (in sq cm)?
- 26.A rectangular field is 13 m long and 11 m wide. What is its area (in sq m)?
- 27.The perimeter of a square is 44 cm. What is its area (in sq cm)?
- 28.A round wheel has a radius of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 29.A park is 10 m long and 9 m wide. Fencing costs ₹18 per metre. What does it cost to fence the park all round (in ₹)?
- 30.A round wheel has a diameter of 70 cm. What is its circumference (take π = 22/7; in cm)?
- 31.A garden is 11 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)?
- 32.A park is 39 m long and 25 m wide. Fencing costs ₹17 per metre. What does it cost to fence the park all round (in ₹)?
- 33.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
- 34.A triangle has a base of 20 cm and a height of 5 cm. What is its area (in sq cm)?
- 35.A triangle has a base of 30 cm and a height of 5 cm. What is its area (in sq cm)?
- 36.A garden is 18 m long and 10 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 37.A garden is 17 m long and 11 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 38.A park is 45 m long and 23 m wide. Fencing costs ₹7 per metre. What does it cost to fence the park all round (in ₹)?
- 39.A rectangle has an area of 216 sq cm and a length of 24 cm. What is its perimeter (in cm)?
- 40.The perimeter of a square is 24 cm. What is its area (in sq cm)?
Answer key
- 44
- 504
- 2508
- 16
- 84
- 900
- 676
- 76
- 1050
- 36
- 42
- 57
- 108
- 264
- 154
- 62
- 1386
- 1378
- 176
- 104
- 86
- 104
- 3096
- 78
- 100
- 143
- 121
- 88
- 684
- 220
- 80
- 2176
- 616
- 50
- 75
- 128
- 60
- 952
- 66
- 36
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