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 rectangular field is 31 m long and 15 m wide. What is its area (in sq m)?
- 2.A rectangle has an area of 315 sq cm and a length of 21 cm. What is its perimeter (in cm)?
- 3.A triangle has a base of 6 cm and a height of 15 cm. What is its area (in sq cm)?
- 4.The perimeter of a square is 40 cm. What is its area (in sq cm)?
- 5.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
- 6.A rectangle has an area of 20 sq cm and a length of 5 cm. What is its perimeter (in cm)?
- 7.A rectangular field is 21 m long and 11 m wide. What is its area (in sq m)?
- 8.A garden is 26 m long and 24 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 9.A garden is 10 m long and 8 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 10.The perimeter of a square is 44 cm. What is its area (in sq cm)?
- 11.A garden is 11 m long and 7 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 12.A rectangle has an area of 1560 sq cm and a length of 40 cm. What is its perimeter (in cm)?
- 13.A rectangle has an area of 40 sq cm and a length of 8 cm. What is its perimeter (in cm)?
- 14.The perimeter of a square is 48 cm. What is its area (in sq cm)?
- 15.The perimeter of a square is 24 cm. What is its area (in sq cm)?
- 16.A garden is 20 m long and 11 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 17.A rectangular field is 22 m long and 8 m wide. What is its area (in sq m)?
- 18.The perimeter of a square is 68 cm. What is its area (in sq cm)?
- 19.A triangle has a base of 30 cm and a height of 9 cm. What is its area (in sq cm)?
- 20.A triangle has a base of 12 cm and a height of 6 cm. What is its area (in sq cm)?
- 21.A park is 45 m long and 27 m wide. Fencing costs ₹8 per metre. What does it cost to fence the park all round (in ₹)?
- 22.A round wheel has a radius of 35 cm. What is its circumference (take π = 22/7; in cm)?
- 23.A triangle has a base of 18 cm and a height of 7 cm. What is its area (in sq cm)?
- 24.A round wheel has a diameter of 42 cm. What is its circumference (take π = 22/7; in cm)?
- 25.A round wheel has a diameter of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 26.A rectangle has an area of 248 sq cm and a length of 31 cm. What is its perimeter (in cm)?
- 27.A park is 46 m long and 25 m wide. Fencing costs ₹9 per metre. What does it cost to fence the park all round (in ₹)?
- 28.A triangle has a base of 19 cm and a height of 18 cm. What is its area (in sq cm)?
- 29.A rectangle has an area of 110 sq cm and a length of 22 cm. What is its perimeter (in cm)?
- 30.A garden is 11 m long and 5 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 31.A park is 33 m long and 29 m wide. Fencing costs ₹21 per metre. What does it cost to fence the park all round (in ₹)?
- 32.A triangle has a base of 30 cm and a height of 5 cm. What is its area (in sq cm)?
- 33.The perimeter of a square is 120 cm. What is its area (in sq cm)?
- 34.A rectangular field is 32 m long and 3 m wide. What is its area (in sq m)?
- 35.A rectangle has an area of 114 sq cm and a length of 19 cm. What is its perimeter (in cm)?
- 36.A garden is 23 m long and 16 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 37.A rectangle has an area of 621 sq cm and a length of 27 cm. What is its perimeter (in cm)?
- 38.The perimeter of a square is 116 cm. What is its area (in sq cm)?
- 39.The perimeter of a square is 12 cm. What is its area (in sq cm)?
- 40.A triangle has a base of 14 cm and a height of 16 cm. What is its area (in sq cm)?
Answer key
- 465
- 72
- 45
- 100
- 1386
- 18
- 231
- 104
- 144
- 121
- 144
- 158
- 26
- 144
- 36
- 140
- 176
- 289
- 135
- 36
- 1152
- 220
- 63
- 132
- 44
- 78
- 1278
- 171
- 54
- 36
- 2604
- 75
- 900
- 96
- 50
- 82
- 100
- 841
- 9
- 112
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