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 garden is 29 m long and 15 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 2.The perimeter of a square is 116 cm. What is its area (in sq cm)?
- 3.A rectangular field is 6 m long and 3 m wide. What is its area (in sq m)?
- 4.A rectangular field is 34 m long and 10 m wide. What is its area (in sq m)?
- 5.A park is 11 m long and 6 m wide. Fencing costs ₹12 per metre. What does it cost to fence the park all round (in ₹)?
- 6.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
- 7.A garden is 33 m long and 17 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 8.A triangle has a base of 10 cm and a height of 19 cm. What is its area (in sq cm)?
- 9.A triangle has a base of 14 cm and a height of 11 cm. What is its area (in sq cm)?
- 10.A rectangular field is 18 m long and 8 m wide. What is its area (in sq m)?
- 11.A park is 56 m long and 23 m wide. Fencing costs ₹22 per metre. What does it cost to fence the park all round (in ₹)?
- 12.A rectangular field is 14 m long and 10 m wide. What is its area (in sq m)?
- 13.A park is 29 m long and 19 m wide. Fencing costs ₹32 per metre. What does it cost to fence the park all round (in ₹)?
- 14.A garden is 38 m long and 30 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 15.The perimeter of a square is 24 cm. What is its area (in sq cm)?
- 16.A park is 22 m long and 5 m wide. Fencing costs ₹8 per metre. What does it cost to fence the park all round (in ₹)?
- 17.A triangle has a base of 23 cm and a height of 8 cm. What is its area (in sq cm)?
- 18.A rectangle has an area of 480 sq cm and a length of 24 cm. What is its perimeter (in cm)?
- 19.A rectangle has an area of 140 sq cm and a length of 14 cm. What is its perimeter (in cm)?
- 20.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq 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 16 cm. What is its area (in sq cm)?
- 23.A triangle has a base of 5 cm and a height of 10 cm. What is its area (in sq cm)?
- 24.A triangle has a base of 23 cm and a height of 14 cm. What is its area (in sq cm)?
- 25.A rectangle has an area of 20 sq cm and a length of 5 cm. What is its perimeter (in cm)?
- 26.The perimeter of a square is 48 cm. What is its area (in sq cm)?
- 27.A garden is 20 m long and 11 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 28.A round wheel has a radius of 35 cm. What is its circumference (take π = 22/7; in cm)?
- 29.A rectangle has an area of 432 sq cm and a length of 27 cm. What is its perimeter (in cm)?
- 30.A rectangular field is 37 m long and 5 m wide. What is its area (in sq m)?
- 31.A park is 33 m long and 11 m wide. Fencing costs ₹13 per metre. What does it cost to fence the park all round (in ₹)?
- 32.The perimeter of a square is 100 cm. What is its area (in sq cm)?
- 33.A rectangle has an area of 78 sq cm and a length of 13 cm. What is its perimeter (in cm)?
- 34.A park is 27 m long and 21 m wide. Fencing costs ₹5 per metre. What does it cost to fence the park all round (in ₹)?
- 35.A rectangular field is 12 m long and 11 m wide. What is its area (in sq m)?
- 36.A triangle has a base of 14 cm and a height of 24 cm. What is its area (in sq cm)?
- 37.A round wheel has a radius of 21 cm. What is its circumference (take π = 22/7; in cm)?
- 38.A park is 57 m long and 24 m wide. Fencing costs ₹30 per metre. What does it cost to fence the park all round (in ₹)?
- 39.A round wheel has a diameter of 42 cm. What is its circumference (take π = 22/7; in cm)?
- 40.A round wheel has a radius of 14 cm. What is its circumference (take π = 22/7; in cm)?
Answer key
- 92
- 841
- 18
- 340
- 408
- 1386
- 336
- 95
- 77
- 144
- 3476
- 140
- 3072
- 444
- 36
- 432
- 92
- 88
- 48
- 2464
- 154
- 16
- 25
- 161
- 18
- 144
- 66
- 220
- 86
- 185
- 1144
- 625
- 38
- 480
- 132
- 168
- 132
- 4860
- 132
- 88
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