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 triangle has a base of 22 cm and a height of 14 cm. What is its area (in sq cm)?
- 2.A round wheel has a diameter of 56 cm. What is its circumference (take π = 22/7; in cm)?
- 3.A park is 13 m long and 5 m wide. Fencing costs ₹6 per metre. What does it cost to fence the park all round (in ₹)?
- 4.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
- 5.The perimeter of a square is 56 cm. What is its area (in sq cm)?
- 6.The perimeter of a square is 116 cm. What is its area (in sq cm)?
- 7.A rectangle has an area of 72 sq cm and a length of 9 cm. What is its perimeter (in cm)?
- 8.A rectangular field is 11 m long and 8 m wide. What is its area (in sq m)?
- 9.A park is 18 m long and 15 m wide. Fencing costs ₹38 per metre. What does it cost to fence the park all round (in ₹)?
- 10.A rectangle has an area of 528 sq cm and a length of 33 cm. What is its perimeter (in cm)?
- 11.The perimeter of a square is 16 cm. What is its area (in sq cm)?
- 12.A triangle has a base of 20 cm and a height of 23 cm. What is its area (in sq cm)?
- 13.A round wheel has a diameter of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 14.A garden is 39 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)?
- 15.A park is 56 m long and 25 m wide. Fencing costs ₹13 per metre. What does it cost to fence the park all round (in ₹)?
- 16.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
- 17.A round wheel has a radius of 7 cm. What is its circumference (take π = 22/7; in cm)?
- 18.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
- 19.A park is 37 m long and 36 m wide. Fencing costs ₹37 per metre. What does it cost to fence the park all round (in ₹)?
- 20.The perimeter of a square is 104 cm. What is its area (in sq cm)?
- 21.A triangle has a base of 11 cm and a height of 4 cm. What is its area (in sq cm)?
- 22.A triangle has a base of 8 cm and a height of 10 cm. What is its area (in sq cm)?
- 23.A round wheel has a diameter of 28 cm. What is its circumference (take π = 22/7; in cm)?
- 24.The perimeter of a square is 100 cm. What is its area (in sq cm)?
- 25.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 26.A triangle has a base of 23 cm and a height of 18 cm. What is its area (in sq cm)?
- 27.A triangle has a base of 28 cm and a height of 21 cm. What is its area (in sq cm)?
- 28.The perimeter of a square is 84 cm. What is its area (in sq cm)?
- 29.The perimeter of a square is 48 cm. What is its area (in sq cm)?
- 30.A park is 14 m long and 12 m wide. Fencing costs ₹39 per metre. What does it cost to fence the park all round (in ₹)?
- 31.A round wheel has a diameter of 84 cm. What is its circumference (take π = 22/7; in cm)?
- 32.A park is 46 m long and 35 m wide. Fencing costs ₹39 per metre. What does it cost to fence the park all round (in ₹)?
- 33.A park is 15 m long and 6 m wide. Fencing costs ₹7 per metre. What does it cost to fence the park all round (in ₹)?
- 34.A garden is 38 m long and 17 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 35.A rectangular field is 37 m long and 31 m wide. What is its area (in sq m)?
- 36.A rectangular field is 8 m long and 5 m wide. What is its area (in sq m)?
- 37.A triangle has a base of 10 cm and a height of 6 cm. What is its area (in sq cm)?
- 38.A garden is 39 m long and 21 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 39.A round wheel has a radius of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 40.A rectangle has an area of 48 sq cm and a length of 8 cm. What is its perimeter (in cm)?
Answer key
- 154
- 176
- 216
- 1386
- 196
- 841
- 34
- 88
- 2508
- 98
- 16
- 230
- 44
- 92
- 2106
- 616
- 44
- 2464
- 5402
- 676
- 22
- 40
- 88
- 625
- 154
- 207
- 294
- 441
- 144
- 2028
- 264
- 6318
- 294
- 114
- 1147
- 40
- 30
- 124
- 88
- 28
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