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.
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- 1.A rectangular field is 21 m long and 7 m wide. What is its area (in sq m)?
- 2.A rectangle has an area of 21 sq cm and a length of 7 cm. What is its perimeter (in cm)?
- 3.A round wheel has a radius of 42 cm. What is its circumference (take π = 22/7; in cm)?
- 4.A triangle has a base of 11 cm and a height of 6 cm. What is its area (in sq cm)?
- 5.The perimeter of a square is 100 cm. What is its area (in sq cm)?
- 6.A triangle has a base of 26 cm and a height of 18 cm. What is its area (in sq cm)?
- 7.The perimeter of a square is 36 cm. What is its area (in sq cm)?
- 8.The perimeter of a square is 24 cm. What is its area (in sq cm)?
- 9.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
- 10.A round wheel has a radius of 35 cm. What is its circumference (take π = 22/7; in cm)?
- 11.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
- 12.A rectangle has an area of 63 sq cm and a length of 9 cm. What is its perimeter (in cm)?
- 13.A triangle has a base of 7 cm and a height of 24 cm. What is its area (in sq cm)?
- 14.A garden is 12 m long and 11 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 15.A rectangular field is 5 m long and 3 m wide. What is its area (in sq m)?
- 16.A garden is 24 m long and 14 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 17 m long and 7 m wide. What is its area (in sq m)?
- 18.A garden is 32 m long and 18 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 19.A park is 10 m long and 9 m wide. Fencing costs ₹8 per metre. What does it cost to fence the park all round (in ₹)?
- 20.A park is 40 m long and 22 m wide. Fencing costs ₹33 per metre. What does it cost to fence the park all round (in ₹)?
- 21.A park is 50 m long and 30 m wide. Fencing costs ₹16 per metre. What does it cost to fence the park all round (in ₹)?
- 22.A round wheel has a diameter of 56 cm. What is its circumference (take π = 22/7; in cm)?
- 23.A park is 16 m long and 7 m wide. Fencing costs ₹21 per metre. What does it cost to fence the park all round (in ₹)?
- 24.A park is 18 m long and 8 m wide. Fencing costs ₹31 per metre. What does it cost to fence the park all round (in ₹)?
- 25.A garden is 13 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)?
- 26.A round wheel has a diameter of 70 cm. What is its circumference (take π = 22/7; in cm)?
- 27.A rectangular field is 11 m long and 6 m wide. What is its area (in sq m)?
- 28.The perimeter of a square is 52 cm. What is its area (in sq cm)?
- 29.A garden is 24 m long and 7 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 30.The perimeter of a square is 112 cm. What is its area (in sq cm)?
- 31.A triangle has a base of 12 cm and a height of 14 cm. What is its area (in sq cm)?
- 32.A round wheel has a radius of 28 cm. What is its circumference (take π = 22/7; in cm)?
- 33.A garden is 12 m long and 9 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 34.A round wheel has a radius of 21 cm. What is its circumference (take π = 22/7; in cm)?
- 35.A garden is 20 m long and 12 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 36.A garden is 40 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)?
- 37.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 38.A rectangle has an area of 264 sq cm and a length of 24 cm. What is its perimeter (in cm)?
- 39.A rectangular field is 31 m long and 29 m wide. What is its area (in sq m)?
- 40.The perimeter of a square is 20 cm. What is its area (in sq cm)?
Answer key
- 147
- 20
- 264
- 33
- 625
- 234
- 81
- 36
- 2464
- 220
- 1386
- 32
- 84
- 174
- 15
- 168
- 119
- 216
- 304
- 4092
- 2560
- 176
- 966
- 1612
- 162
- 220
- 66
- 169
- 66
- 784
- 84
- 176
- 100
- 132
- 228
- 296
- 154
- 70
- 899
- 25
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