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.The perimeter of a square is 108 cm. What is its area (in sq cm)?
- 2.A round wheel has a diameter of 56 cm. What is its circumference (take π = 22/7; in cm)?
- 3.A triangle has a base of 12 cm and a height of 21 cm. What is its area (in sq cm)?
- 4.A rectangle has an area of 352 sq cm and a length of 22 cm. What is its perimeter (in cm)?
- 5.A rectangle has an area of 1054 sq cm and a length of 34 cm. What is its perimeter (in cm)?
- 6.The perimeter of a square is 120 cm. What is its area (in sq cm)?
- 7.A park is 18 m long and 7 m wide. Fencing costs ₹15 per metre. What does it cost to fence the park all round (in ₹)?
- 8.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)?
- 9.A garden is 23 m long and 12 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 22 m long and 13 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 12.A park is 40 m long and 16 m wide. Fencing costs ₹12 per metre. What does it cost to fence the park all round (in ₹)?
- 13.The perimeter of a square is 92 cm. What is its area (in sq cm)?
- 14.A garden is 31 m long and 15 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 15.The perimeter of a square is 80 cm. What is its area (in sq cm)?
- 16.A park is 30 m long and 16 m wide. Fencing costs ₹34 per metre. What does it cost to fence the park all round (in ₹)?
- 17.The perimeter of a square is 40 cm. What is its area (in sq cm)?
- 18.A garden is 39 m long and 32 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 19.A rectangular field is 10 m long and 6 m wide. What is its area (in sq m)?
- 20.A park is 49 m long and 8 m wide. Fencing costs ₹30 per metre. What does it cost to fence the park all round (in ₹)?
- 21.A rectangular field is 31 m long and 22 m wide. What is its area (in sq m)?
- 22.A park is 51 m long and 10 m wide. Fencing costs ₹10 per metre. What does it cost to fence the park all round (in ₹)?
- 23.The perimeter of a square is 60 cm. What is its area (in sq cm)?
- 24.A triangle has a base of 24 cm and a height of 4 cm. What is its area (in sq cm)?
- 25.A rectangular field is 32 m long and 10 m wide. What is its area (in sq m)?
- 26.A round wheel has a radius of 42 cm. What is its circumference (take π = 22/7; in cm)?
- 27.A rectangular field is 7 m long and 4 m wide. What is its area (in sq m)?
- 28.A rectangular field is 19 m long and 8 m wide. What is its area (in sq m)?
- 29.The perimeter of a square is 12 cm. What is its area (in sq cm)?
- 30.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its perimeter (in cm)?
- 31.A park is 26 m long and 13 m wide. Fencing costs ₹37 per metre. What does it cost to fence the park all round (in ₹)?
- 32.A triangle has a base of 13 cm and a height of 14 cm. What is its area (in sq cm)?
- 33.A rectangle has an area of 92 sq cm and a length of 23 cm. What is its perimeter (in cm)?
- 34.A park is 21 m long and 8 m wide. Fencing costs ₹36 per metre. What does it cost to fence the park all round (in ₹)?
- 35.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
- 36.A rectangle has an area of 104 sq cm and a length of 13 cm. What is its perimeter (in cm)?
- 37.A rectangular field is 29 m long and 7 m wide. What is its area (in sq m)?
- 38.The perimeter of a square is 104 cm. What is its area (in sq cm)?
- 39.A garden is 25 m long and 16 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 40.A rectangle has an area of 306 sq cm and a length of 18 cm. What is its perimeter (in cm)?
Answer key
- 729
- 176
- 126
- 76
- 130
- 900
- 750
- 128
- 246
- 220
- 74
- 1344
- 529
- 200
- 400
- 3128
- 100
- 462
- 60
- 3420
- 682
- 1220
- 225
- 48
- 320
- 264
- 28
- 152
- 9
- 48
- 2886
- 91
- 54
- 2088
- 2464
- 42
- 203
- 676
- 282
- 70
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