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 540 sq cm and a length of 30 cm. What is its perimeter (in cm)?
- 2.A triangle has a base of 9 cm and a height of 6 cm. What is its area (in sq cm)?
- 3.The perimeter of a square is 24 cm. What is its area (in sq cm)?
- 4.A garden is 27 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)?
- 5.A park is 11 m long and 8 m wide. Fencing costs ₹13 per metre. What does it cost to fence the park all round (in ₹)?
- 6.A round wheel has a radius of 42 cm. What is its circumference (take π = 22/7; in cm)?
- 7.A round wheel has a diameter of 28 cm. What is its circumference (take π = 22/7; in cm)?
- 8.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
- 9.A rectangular field is 12 m long and 3 m wide. What is its area (in sq m)?
- 10.A rectangle has an area of 15 sq cm and a length of 5 cm. What is its perimeter (in cm)?
- 11.A triangle has a base of 30 cm and a height of 4 cm. What is its area (in sq cm)?
- 12.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
- 13.A park is 15 m long and 14 m wide. Fencing costs ₹29 per metre. What does it cost to fence the park all round (in ₹)?
- 14.A round wheel has a diameter of 84 cm. What is its circumference (take π = 22/7; in cm)?
- 15.A triangle has a base of 11 cm and a height of 18 cm. What is its area (in sq cm)?
- 16.A triangle has a base of 14 cm and a height of 11 cm. What is its area (in sq cm)?
- 17.The perimeter of a square is 116 cm. What is its area (in sq cm)?
- 18.A rectangle has an area of 480 sq cm and a length of 24 cm. What is its perimeter (in cm)?
- 19.A rectangular field is 29 m long and 14 m wide. What is its area (in sq m)?
- 20.A rectangular field is 11 m long and 9 m wide. What is its area (in sq m)?
- 21.A rectangle has an area of 117 sq cm and a length of 13 cm. What is its perimeter (in cm)?
- 22.A garden is 24 m long and 22 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 23.A rectangle has an area of 140 sq cm and a length of 20 cm. What is its perimeter (in cm)?
- 24.A rectangle has an area of 684 sq cm and a length of 38 cm. What is its perimeter (in cm)?
- 25.A triangle has a base of 9 cm and a height of 18 cm. What is its area (in sq cm)?
- 26.The perimeter of a square is 100 cm. What is its area (in sq cm)?
- 27.A rectangular field is 23 m long and 3 m wide. What is its area (in sq m)?
- 28.A round wheel has a diameter of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 29.A garden is 31 m long and 30 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 30.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 31.A round wheel has a radius of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 32.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
- 33.A rectangular field is 5 m long and 4 m wide. What is its area (in sq m)?
- 34.A round wheel has a radius of 7 cm. What is its circumference (take π = 22/7; in cm)?
- 35.A rectangle has an area of 754 sq cm and a length of 29 cm. What is its perimeter (in cm)?
- 36.The perimeter of a square is 96 cm. What is its area (in sq cm)?
- 37.The perimeter of a square is 36 cm. What is its area (in sq cm)?
- 38.A park is 39 m long and 27 m wide. Fencing costs ₹10 per metre. What does it cost to fence the park all round (in ₹)?
- 39.A round wheel has a radius of 21 cm. What is its circumference (take π = 22/7; in cm)?
- 40.The perimeter of a square is 76 cm. What is its area (in sq cm)?
Answer key
- 96
- 27
- 36
- 76
- 494
- 264
- 88
- 616
- 36
- 16
- 60
- 1386
- 1682
- 264
- 99
- 77
- 841
- 88
- 406
- 99
- 44
- 96
- 54
- 112
- 81
- 625
- 69
- 44
- 260
- 154
- 88
- 2464
- 20
- 44
- 110
- 576
- 81
- 1320
- 132
- 361
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