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.
NameDateTime takenScore ___ / 40
- 1.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
- 2.A rectangle has an area of 52 sq cm and a length of 13 cm. What is its perimeter (in cm)?
- 3.A park is 12 m long and 6 m wide. Fencing costs ₹30 per metre. What does it cost to fence the park all round (in ₹)?
- 4.The perimeter of a square is 100 cm. What is its area (in sq cm)?
- 5.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
- 6.A park is 21 m long and 6 m wide. Fencing costs ₹24 per metre. What does it cost to fence the park all round (in ₹)?
- 7.A garden is 32 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)?
- 8.A rectangle has an area of 45 sq cm and a length of 15 cm. What is its perimeter (in cm)?
- 9.The perimeter of a square is 20 cm. What is its area (in sq cm)?
- 10.A rectangle has an area of 90 sq cm and a length of 10 cm. What is its perimeter (in cm)?
- 11.The perimeter of a square is 104 cm. What is its area (in sq cm)?
- 12.A park is 26 m long and 13 m wide. Fencing costs ₹17 per metre. What does it cost to fence the park all round (in ₹)?
- 13.A garden is 12 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)?
- 14.The perimeter of a square is 12 cm. What is its area (in sq cm)?
- 15.A rectangle has an area of 175 sq cm and a length of 35 cm. What is its perimeter (in cm)?
- 16.A park is 12 m long and 11 m wide. Fencing costs ₹39 per metre. What does it cost to fence the park all round (in ₹)?
- 17.A park is 39 m long and 18 m wide. Fencing costs ₹28 per metre. What does it cost to fence the park all round (in ₹)?
- 18.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 19.A garden is 26 m long and 20 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 20.A garden is 30 m long and 12 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 21.A rectangular field is 5 m long and 3 m wide. What is its area (in sq m)?
- 22.A round wheel has a diameter of 28 cm. What is its circumference (take π = 22/7; in cm)?
- 23.A rectangular field is 34 m long and 7 m wide. What is its area (in sq m)?
- 24.A triangle has a base of 6 cm and a height of 3 cm. What is its area (in sq cm)?
- 25.The perimeter of a square is 92 cm. What is its area (in sq cm)?
- 26.A garden is 38 m long and 15 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 27.A triangle has a base of 13 cm and a height of 4 cm. What is its area (in sq cm)?
- 28.A round wheel has a diameter of 70 cm. What is its circumference (take π = 22/7; in cm)?
- 29.A triangle has a base of 9 cm and a height of 22 cm. What is its area (in sq cm)?
- 30.A park is 10 m long and 5 m wide. Fencing costs ₹40 per metre. What does it cost to fence the park all round (in ₹)?
- 31.A garden is 28 m long and 10 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 32.A rectangular field is 23 m long and 4 m wide. What is its area (in sq m)?
- 33.The perimeter of a square is 32 cm. What is its area (in sq cm)?
- 34.A rectangle has an area of 27 sq cm and a length of 9 cm. What is its perimeter (in cm)?
- 35.A triangle has a base of 7 cm and a height of 18 cm. What is its area (in sq cm)?
- 36.A rectangular field is 27 m long and 16 m wide. What is its area (in sq m)?
- 37.A park is 19 m long and 9 m wide. Fencing costs ₹39 per metre. What does it cost to fence the park all round (in ₹)?
- 38.The perimeter of a square is 28 cm. What is its area (in sq cm)?
- 39.A rectangular field is 21 m long and 14 m wide. What is its area (in sq m)?
- 40.A rectangle has an area of 1014 sq cm and a length of 39 cm. What is its perimeter (in cm)?
Answer key
- 616
- 34
- 1080
- 625
- 2464
- 1296
- 80
- 36
- 25
- 38
- 676
- 1326
- 84
- 9
- 80
- 1794
- 3192
- 154
- 200
- 288
- 15
- 88
- 238
- 9
- 529
- 354
- 26
- 220
- 99
- 1200
- 168
- 92
- 64
- 24
- 63
- 432
- 2184
- 49
- 294
- 130
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