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 rectangle has an area of 180 sq cm and a length of 18 cm. What is its perimeter (in cm)?
- 2.A rectangle has an area of 186 sq cm and a length of 31 cm. What is its perimeter (in cm)?
- 3.A rectangle has an area of 180 sq cm and a length of 36 cm. What is its perimeter (in cm)?
- 4.A park is 46 m long and 9 m wide. Fencing costs ₹20 per metre. What does it cost to fence the park all round (in ₹)?
- 5.A rectangular field is 37 m long and 11 m wide. What is its area (in sq m)?
- 6.A rectangle has an area of 204 sq cm and a length of 34 cm. What is its perimeter (in cm)?
- 7.A round wheel has a diameter of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 8.A park is 36 m long and 5 m wide. Fencing costs ₹10 per metre. What does it cost to fence the park all round (in ₹)?
- 9.A garden is 23 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)?
- 10.A garden is 21 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)?
- 11.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 12.The perimeter of a square is 56 cm. What is its area (in sq cm)?
- 13.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
- 14.A park is 22 m long and 14 m wide. Fencing costs ₹31 per metre. What does it cost to fence the park all round (in ₹)?
- 15.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
- 16.The perimeter of a square is 32 cm. What is its area (in sq cm)?
- 17.A rectangular field is 37 m long and 7 m wide. What is its area (in sq m)?
- 18.A garden is 12 m long and 5 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 19.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
- 20.A triangle has a base of 8 cm and a height of 7 cm. What is its area (in sq cm)?
- 21.A rectangle has an area of 336 sq cm and a length of 21 cm. What is its perimeter (in cm)?
- 22.A round wheel has a radius of 28 cm. What is its circumference (take π = 22/7; in cm)?
- 23.A park is 22 m long and 21 m wide. Fencing costs ₹29 per metre. What does it cost to fence the park all round (in ₹)?
- 24.A triangle has a base of 16 cm and a height of 21 cm. What is its area (in sq cm)?
- 25.A garden is 26 m long and 19 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 26.A rectangle has an area of 756 sq cm and a length of 28 cm. What is its perimeter (in cm)?
- 27.A park is 12 m long and 7 m wide. Fencing costs ₹23 per metre. What does it cost to fence the park all round (in ₹)?
- 28.A rectangle has an area of 456 sq cm and a length of 24 cm. What is its perimeter (in cm)?
- 29.A triangle has a base of 4 cm and a height of 4 cm. What is its area (in sq cm)?
- 30.A garden is 19 m long and 13 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 31.A triangle has a base of 11 cm and a height of 4 cm. What is its area (in sq cm)?
- 32.A round wheel has a diameter of 56 cm. What is its circumference (take π = 22/7; in cm)?
- 33.A park is 52 m long and 27 m wide. Fencing costs ₹32 per metre. What does it cost to fence the park all round (in ₹)?
- 34.A rectangle has an area of 644 sq cm and a length of 28 cm. What is its perimeter (in cm)?
- 35.A rectangular field is 34 m long and 16 m wide. What is its area (in sq m)?
- 36.A garden is 12 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)?
- 37.The perimeter of a square is 72 cm. What is its area (in sq cm)?
- 38.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its perimeter (in cm)?
- 39.A rectangular field is 10 m long and 5 m wide. What is its area (in sq m)?
- 40.A garden is 39 m long and 19 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
Answer key
- 56
- 74
- 82
- 2200
- 407
- 80
- 44
- 820
- 62
- 204
- 154
- 196
- 1386
- 2232
- 616
- 64
- 259
- 138
- 2464
- 28
- 74
- 176
- 2494
- 168
- 196
- 110
- 874
- 86
- 8
- 228
- 22
- 176
- 5056
- 102
- 544
- 42
- 324
- 48
- 50
- 384
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