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 14 m long and 4 m wide. What is its area (in sq m)?
- 2.A garden is 40 m long and 34 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 3.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
- 4.A rectangle has an area of 240 sq cm and a length of 16 cm. What is its perimeter (in cm)?
- 5.A round wheel has a radius of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 6.The perimeter of a square is 68 cm. What is its area (in sq cm)?
- 7.A park is 40 m long and 17 m wide. Fencing costs ₹15 per metre. What does it cost to fence the park all round (in ₹)?
- 8.A rectangle has an area of 44 sq cm and a length of 11 cm. What is its perimeter (in cm)?
- 9.A park is 25 m long and 19 m wide. Fencing costs ₹5 per metre. What does it cost to fence the park all round (in ₹)?
- 10.The perimeter of a square is 56 cm. What is its area (in sq cm)?
- 11.A garden is 25 m long and 24 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 1102 sq cm and a length of 38 cm. What is its perimeter (in cm)?
- 13.A garden is 15 m long and 14 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 14.A rectangle has an area of 1326 sq cm and a length of 39 cm. What is its perimeter (in cm)?
- 15.A garden is 19 m long and 5 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 16.A triangle has a base of 13 cm and a height of 14 cm. What is its area (in sq cm)?
- 17.The perimeter of a square is 88 cm. What is its area (in sq cm)?
- 18.A rectangle has an area of 15 sq cm and a length of 5 cm. What is its perimeter (in cm)?
- 19.A rectangular field is 21 m long and 19 m wide. What is its area (in sq m)?
- 20.A round wheel has a radius of 21 cm. What is its circumference (take π = 22/7; in cm)?
- 21.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 22.The perimeter of a square is 44 cm. What is its area (in sq cm)?
- 23.A triangle has a base of 6 cm and a height of 9 cm. What is its area (in sq cm)?
- 24.A park is 58 m long and 10 m wide. Fencing costs ₹16 per metre. What does it cost to fence the park all round (in ₹)?
- 25.A rectangular field is 15 m long and 3 m wide. What is its area (in sq m)?
- 26.A rectangle has an area of 105 sq cm and a length of 15 cm. What is its perimeter (in cm)?
- 27.A park is 59 m long and 56 m wide. Fencing costs ₹8 per metre. What does it cost to fence the park all round (in ₹)?
- 28.A triangle has a base of 24 cm and a height of 15 cm. What is its area (in sq cm)?
- 29.A round wheel has a radius of 7 cm. What is its circumference (take π = 22/7; in cm)?
- 30.A round wheel has a radius of 28 cm. What is its circumference (take π = 22/7; in cm)?
- 31.A garden is 33 m long and 32 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 32.A triangle has a base of 30 cm and a height of 12 cm. What is its area (in sq cm)?
- 33.A rectangle has an area of 84 sq cm and a length of 14 cm. What is its perimeter (in cm)?
- 34.A garden is 11 m long and 5 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 35.A triangle has a base of 6 cm and a height of 8 cm. What is its area (in sq cm)?
- 36.The perimeter of a square is 80 cm. What is its area (in sq cm)?
- 37.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
- 38.A rectangle has an area of 429 sq cm and a length of 39 cm. What is its perimeter (in cm)?
- 39.A rectangle has an area of 306 sq cm and a length of 34 cm. What is its perimeter (in cm)?
- 40.A round wheel has a radius of 42 cm. What is its circumference (take π = 22/7; in cm)?
Answer key
- 56
- 312
- 2464
- 62
- 88
- 289
- 1710
- 30
- 440
- 196
- 212
- 134
- 210
- 146
- 52
- 91
- 484
- 16
- 399
- 132
- 154
- 121
- 27
- 2176
- 45
- 44
- 1840
- 180
- 44
- 176
- 134
- 180
- 40
- 36
- 24
- 400
- 1386
- 100
- 86
- 264
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