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 16 cm and a height of 16 cm. What is its area (in sq cm)?
- 2.A triangle has a base of 8 cm and a height of 5 cm. What is its area (in sq cm)?
- 3.A rectangular field is 25 m long and 19 m wide. What is its area (in sq m)?
- 4.A garden is 12 m long and 6 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 5.A park is 37 m long and 9 m wide. Fencing costs ₹36 per metre. What does it cost to fence the park all round (in ₹)?
- 6.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
- 7.A rectangular field is 15 m long and 7 m wide. What is its area (in sq m)?
- 8.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
- 9.A round wheel has a diameter of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 10.The perimeter of a square is 92 cm. What is its area (in sq cm)?
- 11.A park is 54 m long and 32 m wide. Fencing costs ₹38 per metre. What does it cost to fence the park all round (in ₹)?
- 12.A round wheel has a diameter of 70 cm. What is its circumference (take π = 22/7; in cm)?
- 13.A triangle has a base of 4 cm and a height of 6 cm. What is its area (in sq cm)?
- 14.A rectangle has an area of 56 sq cm and a length of 14 cm. What is its perimeter (in cm)?
- 15.The perimeter of a square is 52 cm. What is its area (in sq cm)?
- 16.The perimeter of a square is 44 cm. What is its area (in sq cm)?
- 17.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
- 18.A round wheel has a radius of 7 cm. What is its circumference (take π = 22/7; in cm)?
- 19.A triangle has a base of 18 cm and a height of 13 cm. What is its area (in sq cm)?
- 20.A park is 19 m long and 13 m wide. Fencing costs ₹9 per metre. What does it cost to fence the park all round (in ₹)?
- 21.A rectangle has an area of 220 sq cm and a length of 20 cm. What is its perimeter (in cm)?
- 22.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 23.The perimeter of a square is 76 cm. What is its area (in sq cm)?
- 24.A rectangle has an area of 576 sq cm and a length of 36 cm. What is its perimeter (in cm)?
- 25.A garden is 15 m long and 8 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 26.A garden is 15 m long and 13 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 27.A rectangular field is 9 m long and 5 m wide. What is its area (in sq m)?
- 28.A rectangle has an area of 297 sq cm and a length of 27 cm. What is its perimeter (in cm)?
- 29.A triangle has a base of 12 cm and a height of 16 cm. What is its area (in sq cm)?
- 30.A park is 58 m long and 10 m wide. Fencing costs ₹28 per metre. What does it cost to fence the park all round (in ₹)?
- 31.A park is 34 m long and 5 m wide. Fencing costs ₹18 per metre. What does it cost to fence the park all round (in ₹)?
- 32.A round wheel has a radius of 21 cm. What is its circumference (take π = 22/7; in cm)?
- 33.A rectangular field is 6 m long and 3 m wide. What is its area (in sq m)?
- 34.A garden is 26 m long and 22 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 35.A round wheel has a radius of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 36.A rectangle has an area of 36 sq cm and a length of 12 cm. What is its perimeter (in cm)?
- 37.A garden is 37 m long and 35 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 38.A rectangular field is 20 m long and 13 m wide. What is its area (in sq m)?
- 39.A triangle has a base of 24 cm and a height of 7 cm. What is its area (in sq cm)?
- 40.A rectangle has an area of 120 sq cm and a length of 24 cm. What is its perimeter (in cm)?
Answer key
- 128
- 20
- 475
- 144
- 3312
- 2464
- 105
- 616
- 44
- 529
- 6536
- 220
- 12
- 36
- 169
- 121
- 1386
- 44
- 117
- 576
- 62
- 154
- 361
- 104
- 50
- 128
- 45
- 76
- 96
- 3808
- 1404
- 132
- 18
- 100
- 88
- 30
- 148
- 260
- 84
- 58
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