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 14 cm (take π = 22/7; answer in sq cm).
- 2.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
- 3.A triangle has a base of 6 cm and a height of 11 cm. What is its area (in sq cm)?
- 4.A garden is 24 m long and 21 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 5.A park is 16 m long and 6 m wide. Fencing costs ₹11 per metre. What does it cost to fence the park all round (in ₹)?
- 6.The perimeter of a square is 48 cm. What is its area (in sq cm)?
- 7.A rectangle has an area of 150 sq cm and a length of 25 cm. What is its perimeter (in cm)?
- 8.A rectangular field is 30 m long and 6 m wide. What is its area (in sq m)?
- 9.A round wheel has a radius of 7 cm. What is its circumference (take π = 22/7; in cm)?
- 10.The perimeter of a square is 92 cm. What is its area (in sq cm)?
- 11.A garden is 38 m long and 20 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 12.A rectangular field is 13 m long and 10 m wide. What is its area (in sq m)?
- 13.A rectangle has an area of 986 sq cm and a length of 34 cm. What is its perimeter (in cm)?
- 14.A garden is 30 m long and 6 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 15.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its perimeter (in cm)?
- 16.A triangle has a base of 6 cm and a height of 8 cm. What is its area (in sq cm)?
- 17.A park is 21 m long and 9 m wide. Fencing costs ₹32 per metre. What does it cost to fence the park all round (in ₹)?
- 18.A rectangle has an area of 120 sq cm and a length of 20 cm. What is its perimeter (in cm)?
- 19.A garden is 18 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)?
- 20.A rectangle has an area of 192 sq cm and a length of 16 cm. What is its perimeter (in cm)?
- 21.A round wheel has a radius of 21 cm. What is its circumference (take π = 22/7; in cm)?
- 22.A garden is 26 m long and 25 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 23.A rectangular field is 7 m long and 3 m wide. What is its area (in sq m)?
- 24.A rectangular field is 17 m long and 5 m wide. What is its area (in sq m)?
- 25.A round wheel has a radius of 42 cm. What is its circumference (take π = 22/7; in cm)?
- 26.The perimeter of a square is 20 cm. What is its area (in sq cm)?
- 27.A rectangle has an area of 95 sq cm and a length of 19 cm. What is its perimeter (in cm)?
- 28.A rectangle has an area of 406 sq cm and a length of 29 cm. What is its perimeter (in cm)?
- 29.A rectangular field is 32 m long and 17 m wide. What is its area (in sq m)?
- 30.A park is 55 m long and 48 m wide. Fencing costs ₹25 per metre. What does it cost to fence the park all round (in ₹)?
- 31.A triangle has a base of 16 cm and a height of 19 cm. What is its area (in sq cm)?
- 32.A rectangle has an area of 850 sq cm and a length of 34 cm. What is its perimeter (in cm)?
- 33.The perimeter of a square is 32 cm. What is its area (in sq cm)?
- 34.A garden is 29 m long and 10 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 35.A rectangular field is 12 m long and 6 m wide. What is its area (in sq m)?
- 36.A triangle has a base of 20 cm and a height of 5 cm. What is its area (in sq cm)?
- 37.A rectangle has an area of 39 sq cm and a length of 13 cm. What is its perimeter (in cm)?
- 38.A rectangle has an area of 273 sq cm and a length of 21 cm. What is its perimeter (in cm)?
- 39.A round wheel has a diameter of 28 cm. What is its circumference (take π = 22/7; in cm)?
- 40.A rectangular field is 33 m long and 8 m wide. What is its area (in sq m)?
Answer key
- 616
- 2464
- 33
- 196
- 484
- 144
- 62
- 180
- 44
- 529
- 248
- 130
- 126
- 252
- 44
- 24
- 1920
- 52
- 52
- 56
- 132
- 342
- 21
- 85
- 264
- 25
- 48
- 86
- 544
- 5150
- 152
- 118
- 64
- 270
- 72
- 50
- 32
- 68
- 88
- 264
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