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 rectangle has an area of 234 sq cm and a length of 26 cm. What is its perimeter (in cm)?
- 2.A rectangle has an area of 259 sq cm and a length of 37 cm. What is its perimeter (in cm)?
- 3.A rectangular field is 25 m long and 22 m wide. What is its area (in sq m)?
- 4.A garden is 40 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)?
- 5.A triangle has a base of 28 cm and a height of 25 cm. What is its area (in sq cm)?
- 6.A garden is 28 m long and 12 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 7.A park is 27 m long and 10 m wide. Fencing costs ₹15 per metre. What does it cost to fence the park all round (in ₹)?
- 8.A rectangular field is 28 m long and 24 m wide. What is its area (in sq m)?
- 9.A park is 42 m long and 5 m wide. Fencing costs ₹11 per metre. What does it cost to fence the park all round (in ₹)?
- 10.A rectangle has an area of 357 sq cm and a length of 21 cm. What is its perimeter (in cm)?
- 11.A rectangular field is 27 m long and 13 m wide. What is its area (in sq m)?
- 12.A triangle has a base of 14 cm and a height of 12 cm. What is its area (in sq cm)?
- 13.A round wheel has a radius of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 14.A garden is 30 m long and 8 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 15.The perimeter of a square is 72 cm. What is its area (in sq cm)?
- 16.A triangle has a base of 8 cm and a height of 22 cm. What is its area (in sq cm)?
- 17.The perimeter of a square is 84 cm. What is its area (in sq cm)?
- 18.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
- 19.A rectangle has an area of 333 sq cm and a length of 37 cm. What is its perimeter (in cm)?
- 20.The perimeter of a square is 20 cm. What is its area (in sq cm)?
- 21.A park is 16 m long and 15 m wide. Fencing costs ₹25 per metre. What does it cost to fence the park all round (in ₹)?
- 22.The perimeter of a square is 88 cm. What is its area (in sq cm)?
- 23.A triangle has a base of 14 cm and a height of 3 cm. What is its area (in sq cm)?
- 24.A park is 32 m long and 16 m wide. Fencing costs ₹28 per metre. What does it cost to fence the park all round (in ₹)?
- 25.The perimeter of a square is 100 cm. What is its area (in sq cm)?
- 26.A park is 33 m long and 9 m wide. Fencing costs ₹9 per metre. What does it cost to fence the park all round (in ₹)?
- 27.The perimeter of a square is 80 cm. What is its area (in sq cm)?
- 28.A rectangle has an area of 783 sq cm and a length of 29 cm. What is its perimeter (in cm)?
- 29.A triangle has a base of 8 cm and a height of 17 cm. What is its area (in sq cm)?
- 30.A garden is 29 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)?
- 31.A round wheel has a radius of 7 cm. What is its circumference (take π = 22/7; in cm)?
- 32.The perimeter of a square is 40 cm. What is its area (in sq cm)?
- 33.A park is 15 m long and 8 m wide. Fencing costs ₹28 per metre. What does it cost to fence the park all round (in ₹)?
- 34.A rectangular field is 5 m long and 3 m wide. What is its area (in sq m)?
- 35.A triangle has a base of 28 cm and a height of 8 cm. What is its area (in sq cm)?
- 36.A round wheel has a diameter of 42 cm. What is its circumference (take π = 22/7; in cm)?
- 37.A rectangle has an area of 140 sq cm and a length of 35 cm. What is its perimeter (in cm)?
- 38.A rectangle has an area of 435 sq cm and a length of 29 cm. What is its perimeter (in cm)?
- 39.A garden is 16 m long and 14 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 40.A rectangular field is 7 m long and 5 m wide. What is its area (in sq m)?
Answer key
- 70
- 88
- 550
- 372
- 350
- 176
- 1110
- 672
- 1034
- 76
- 351
- 84
- 88
- 80
- 324
- 88
- 441
- 1386
- 92
- 25
- 1550
- 484
- 21
- 2688
- 625
- 756
- 400
- 112
- 68
- 94
- 44
- 100
- 1288
- 15
- 112
- 132
- 78
- 88
- 216
- 35
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