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 7 m long and 6 m wide. What is its area (in sq m)?
- 2.A rectangle has an area of 560 sq cm and a length of 28 cm. What is its perimeter (in cm)?
- 3.A rectangle has an area of 114 sq cm and a length of 19 cm. What is its perimeter (in cm)?
- 4.A garden is 33 m long and 18 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 5.A garden is 36 m long and 23 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 6.A garden is 16 m long and 11 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 7.A park is 54 m long and 50 m wide. Fencing costs ₹26 per metre. What does it cost to fence the park all round (in ₹)?
- 8.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
- 9.A round wheel has a diameter of 70 cm. What is its circumference (take π = 22/7; in cm)?
- 10.A round wheel has a radius of 42 cm. What is its circumference (take π = 22/7; in cm)?
- 11.A garden is 18 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)?
- 12.A rectangle has an area of 988 sq cm and a length of 38 cm. What is its perimeter (in cm)?
- 13.A rectangle has an area of 391 sq cm and a length of 23 cm. What is its perimeter (in cm)?
- 14.The perimeter of a square is 56 cm. What is its area (in sq cm)?
- 15.The perimeter of a square is 104 cm. What is its area (in sq cm)?
- 16.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 17.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)?
- 18.A park is 14 m long and 5 m wide. Fencing costs ₹20 per metre. What does it cost to fence the park all round (in ₹)?
- 19.A garden is 37 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)?
- 20.A park is 33 m long and 11 m wide. Fencing costs ₹15 per metre. What does it cost to fence the park all round (in ₹)?
- 21.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
- 22.A rectangle has an area of 40 sq cm and a length of 8 cm. What is its perimeter (in cm)?
- 23.A garden is 38 m long and 23 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 24.A garden is 10 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)?
- 25.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
- 26.A park is 50 m long and 34 m wide. Fencing costs ₹13 per metre. What does it cost to fence the park all round (in ₹)?
- 27.A rectangle has an area of 20 sq cm and a length of 5 cm. What is its perimeter (in cm)?
- 28.A round wheel has a radius of 7 cm. What is its circumference (take π = 22/7; in cm)?
- 29.A rectangle has an area of 60 sq cm and a length of 12 cm. What is its perimeter (in cm)?
- 30.A rectangular field is 22 m long and 10 m wide. What is its area (in sq m)?
- 31.A rectangle has an area of 182 sq cm and a length of 14 cm. What is its perimeter (in cm)?
- 32.The perimeter of a square is 12 cm. What is its area (in sq cm)?
- 33.A triangle has a base of 21 cm and a height of 14 cm. What is its area (in sq cm)?
- 34.A garden is 25 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)?
- 35.The perimeter of a square is 28 cm. What is its area (in sq cm)?
- 36.A triangle has a base of 20 cm and a height of 6 cm. What is its area (in sq cm)?
- 37.A rectangular field is 22 m long and 3 m wide. What is its area (in sq m)?
- 38.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its perimeter (in cm)?
- 39.A rectangle has an area of 175 sq cm and a length of 35 cm. What is its perimeter (in cm)?
- 40.A garden is 11 m long and 5 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
Answer key
- 42
- 96
- 50
- 342
- 252
- 58
- 5408
- 1386
- 220
- 264
- 124
- 128
- 80
- 196
- 676
- 154
- 144
- 760
- 92
- 1320
- 616
- 26
- 402
- 40
- 2464
- 2184
- 18
- 44
- 34
- 220
- 54
- 9
- 147
- 228
- 49
- 60
- 66
- 52
- 80
- 80
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