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.The perimeter of a square is 20 cm. What is its area (in sq cm)?
- 2.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its perimeter (in cm)?
- 3.A garden is 35 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)?
- 4.A round wheel has a diameter of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 5.A round wheel has a radius of 35 cm. What is its circumference (take π = 22/7; in cm)?
- 6.A triangle has a base of 29 cm and a height of 8 cm. What is its area (in sq cm)?
- 7.A garden is 32 m long and 20 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 8.The perimeter of a square is 100 cm. What is its area (in sq cm)?
- 9.A park is 40 m long and 17 m wide. Fencing costs ₹20 per metre. What does it cost to fence the park all round (in ₹)?
- 10.A rectangular field is 5 m long and 4 m wide. What is its area (in sq m)?
- 11.A rectangular field is 13 m long and 6 m wide. What is its area (in sq m)?
- 12.A triangle has a base of 6 cm and a height of 19 cm. What is its area (in sq cm)?
- 13.A rectangle has an area of 297 sq cm and a length of 27 cm. What is its perimeter (in cm)?
- 14.A park is 40 m long and 23 m wide. Fencing costs ₹14 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.A rectangular field is 15 m long and 14 m wide. What is its area (in sq m)?
- 17.A rectangular field is 32 m long and 28 m wide. What is its area (in sq m)?
- 18.A rectangular field is 22 m long and 5 m wide. What is its area (in sq m)?
- 19.A park is 24 m long and 7 m wide. Fencing costs ₹9 per metre. What does it cost to fence the park all round (in ₹)?
- 20.The perimeter of a square is 96 cm. What is its area (in sq cm)?
- 21.The perimeter of a square is 52 cm. What is its area (in sq cm)?
- 22.A garden is 37 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)?
- 23.A garden is 15 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)?
- 24.A triangle has a base of 18 cm and a height of 18 cm. What is its area (in sq cm)?
- 25.A park is 27 m long and 16 m wide. Fencing costs ₹32 per metre. What does it cost to fence the park all round (in ₹)?
- 26.A triangle has a base of 21 cm and a height of 6 cm. What is its area (in sq cm)?
- 27.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 28.A rectangle has an area of 77 sq cm and a length of 11 cm. What is its perimeter (in cm)?
- 29.A triangle has a base of 9 cm and a height of 16 cm. What is its area (in sq cm)?
- 30.A rectangular field is 26 m long and 18 m wide. What is its area (in sq m)?
- 31.A triangle has a base of 4 cm and a height of 5 cm. What is its area (in sq cm)?
- 32.A park is 34 m long and 7 m wide. Fencing costs ₹29 per metre. What does it cost to fence the park all round (in ₹)?
- 33.A rectangular field is 34 m long and 17 m wide. What is its area (in sq m)?
- 34.A round wheel has a radius of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 35.A park is 24 m long and 21 m wide. Fencing costs ₹19 per metre. What does it cost to fence the park all round (in ₹)?
- 36.A round wheel has a diameter of 28 cm. What is its circumference (take π = 22/7; in cm)?
- 37.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
- 38.A park is 38 m long and 22 m wide. Fencing costs ₹16 per metre. What does it cost to fence the park all round (in ₹)?
- 39.A park is 55 m long and 40 m wide. Fencing costs ₹24 per metre. What does it cost to fence the park all round (in ₹)?
- 40.A rectangle has an area of 180 sq cm and a length of 30 cm. What is its perimeter (in cm)?
Answer key
- 25
- 48
- 192
- 44
- 220
- 116
- 348
- 625
- 2280
- 20
- 78
- 57
- 76
- 1764
- 616
- 210
- 896
- 110
- 558
- 576
- 169
- 372
- 46
- 162
- 2752
- 63
- 154
- 36
- 72
- 468
- 10
- 2378
- 578
- 88
- 1710
- 88
- 2464
- 1920
- 4560
- 72
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