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 38 m long and 10 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 2.A rectangle has an area of 500 sq cm and a length of 25 cm. What is its perimeter (in cm)?
- 3.A rectangle has an area of 1080 sq cm and a length of 40 cm. What is its perimeter (in cm)?
- 4.A triangle has a base of 10 cm and a height of 23 cm. What is its area (in sq cm)?
- 5.A rectangle has an area of 493 sq cm and a length of 29 cm. What is its perimeter (in cm)?
- 6.A round wheel has a radius of 7 cm. What is its circumference (take π = 22/7; in cm)?
- 7.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 8.A round wheel has a radius of 21 cm. What is its circumference (take π = 22/7; in cm)?
- 9.A round wheel has a radius of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 10.A rectangle has an area of 24 sq cm and a length of 6 cm. What is its perimeter (in cm)?
- 11.A garden is 33 m long and 10 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 12.A rectangle has an area of 15 sq cm and a length of 5 cm. What is its perimeter (in cm)?
- 13.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
- 14.A round wheel has a radius of 35 cm. What is its circumference (take π = 22/7; in cm)?
- 15.A park is 16 m long and 15 m wide. Fencing costs ₹22 per metre. What does it cost to fence the park all round (in ₹)?
- 16.A rectangular field is 12 m long and 5 m wide. What is its area (in sq m)?
- 17.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
- 18.A rectangle has an area of 341 sq cm and a length of 31 cm. What is its perimeter (in cm)?
- 19.The perimeter of a square is 92 cm. What is its area (in sq cm)?
- 20.A triangle has a base of 28 cm and a height of 21 cm. What is its area (in sq cm)?
- 21.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
- 22.A triangle has a base of 7 cm and a height of 20 cm. What is its area (in sq cm)?
- 23.A rectangle has an area of 161 sq cm and a length of 23 cm. What is its perimeter (in cm)?
- 24.A rectangular field is 15 m long and 10 m wide. What is its area (in sq m)?
- 25.The perimeter of a square is 72 cm. What is its area (in sq cm)?
- 26.A rectangular field is 34 m long and 7 m wide. What is its area (in sq m)?
- 27.A triangle has a base of 24 cm and a height of 15 cm. What is its area (in sq cm)?
- 28.A triangle has a base of 17 cm and a height of 12 cm. What is its area (in sq cm)?
- 29.A rectangular field is 37 m long and 11 m wide. What is its area (in sq m)?
- 30.A triangle has a base of 9 cm and a height of 20 cm. What is its area (in sq cm)?
- 31.A triangle has a base of 4 cm and a height of 20 cm. What is its area (in sq cm)?
- 32.The perimeter of a square is 96 cm. What is its area (in sq cm)?
- 33.The perimeter of a square is 108 cm. What is its area (in sq cm)?
- 34.A triangle has a base of 4 cm and a height of 15 cm. What is its area (in sq cm)?
- 35.A park is 12 m long and 5 m wide. Fencing costs ₹33 per metre. What does it cost to fence the park all round (in ₹)?
- 36.A rectangle has an area of 136 sq cm and a length of 34 cm. What is its perimeter (in cm)?
- 37.A park is 47 m long and 17 m wide. Fencing costs ₹28 per metre. What does it cost to fence the park all round (in ₹)?
- 38.The perimeter of a square is 84 cm. What is its area (in sq cm)?
- 39.A garden is 10 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)?
- 40.A triangle has a base of 26 cm and a height of 3 cm. What is its area (in sq cm)?
Answer key
- 324
- 90
- 134
- 115
- 92
- 44
- 154
- 132
- 88
- 20
- 90
- 16
- 2464
- 220
- 1364
- 60
- 1386
- 84
- 529
- 294
- 616
- 70
- 60
- 150
- 324
- 238
- 180
- 102
- 407
- 90
- 40
- 576
- 729
- 30
- 1122
- 76
- 3584
- 441
- 34
- 39
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