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.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 2.A rectangular field is 39 m long and 6 m wide. What is its area (in sq m)?
- 3.A rectangular field is 5 m long and 3 m wide. What is its area (in sq m)?
- 4.A park is 24 m long and 6 m wide. Fencing costs ₹23 per metre. What does it cost to fence the park all round (in ₹)?
- 5.A park is 15 m long and 11 m wide. Fencing costs ₹39 per metre. What does it cost to fence the park all round (in ₹)?
- 6.A rectangular field is 21 m long and 15 m wide. What is its area (in sq m)?
- 7.A garden is 24 m long and 6 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 56 cm. What is its area (in sq cm)?
- 9.A rectangle has an area of 595 sq cm and a length of 35 cm. What is its perimeter (in cm)?
- 10.A triangle has a base of 22 cm and a height of 23 cm. What is its area (in sq cm)?
- 11.A garden is 18 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)?
- 12.A rectangular field is 12 m long and 9 m wide. What is its area (in sq m)?
- 13.The perimeter of a square is 104 cm. What is its area (in sq cm)?
- 14.The perimeter of a square is 40 cm. What is its area (in sq cm)?
- 15.A rectangular field is 8 m long and 7 m wide. What is its area (in sq m)?
- 16.A triangle has a base of 26 cm and a height of 7 cm. What is its area (in sq cm)?
- 17.A rectangular field is 24 m long and 5 m wide. What is its area (in sq m)?
- 18.A rectangle has an area of 112 sq cm and a length of 16 cm. What is its perimeter (in cm)?
- 19.A rectangular field is 14 m long and 13 m wide. What is its area (in sq m)?
- 20.A rectangle has an area of 560 sq cm and a length of 40 cm. What is its perimeter (in cm)?
- 21.A triangle has a base of 21 cm and a height of 22 cm. What is its area (in sq cm)?
- 22.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
- 23.The perimeter of a square is 24 cm. What is its area (in sq cm)?
- 24.A rectangle has an area of 920 sq cm and a length of 40 cm. What is its perimeter (in cm)?
- 25.A rectangle has an area of 324 sq cm and a length of 36 cm. What is its perimeter (in cm)?
- 26.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
- 27.A park is 24 m long and 7 m wide. Fencing costs ₹17 per metre. What does it cost to fence the park all round (in ₹)?
- 28.The perimeter of a square is 36 cm. What is its area (in sq cm)?
- 29.A garden is 26 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)?
- 30.A rectangle has an area of 108 sq cm and a length of 36 cm. What is its perimeter (in cm)?
- 31.A triangle has a base of 10 cm and a height of 25 cm. What is its area (in sq cm)?
- 32.A rectangle has an area of 65 sq cm and a length of 13 cm. What is its perimeter (in cm)?
- 33.A round wheel has a diameter of 56 cm. What is its circumference (take π = 22/7; in cm)?
- 34.A triangle has a base of 28 cm and a height of 5 cm. What is its area (in sq cm)?
- 35.A round wheel has a radius of 21 cm. What is its circumference (take π = 22/7; in cm)?
- 36.A round wheel has a radius of 35 cm. What is its circumference (take π = 22/7; in cm)?
- 37.A park is 59 m long and 19 m wide. Fencing costs ₹17 per metre. What does it cost to fence the park all round (in ₹)?
- 38.The perimeter of a square is 72 cm. What is its area (in sq cm)?
- 39.A park is 13 m long and 11 m wide. Fencing costs ₹7 per metre. What does it cost to fence the park all round (in ₹)?
- 40.A park is 38 m long and 13 m wide. Fencing costs ₹26 per metre. What does it cost to fence the park all round (in ₹)?
Answer key
- 154
- 234
- 15
- 1380
- 2028
- 315
- 64
- 196
- 104
- 253
- 222
- 108
- 676
- 100
- 56
- 91
- 120
- 46
- 182
- 108
- 231
- 616
- 36
- 126
- 90
- 1386
- 1054
- 81
- 74
- 78
- 125
- 36
- 176
- 70
- 132
- 220
- 2652
- 324
- 336
- 2652
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