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 10 cm. What is its area (in sq cm)?
- 2.A garden is 10 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)?
- 3.The perimeter of a square is 56 cm. What is its area (in sq cm)?
- 4.A garden is 11 m long and 6 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 5.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 6.A rectangular field is 28 m long and 6 m wide. What is its area (in sq m)?
- 7.A rectangle has an area of 120 sq cm and a length of 15 cm. What is its perimeter (in cm)?
- 8.A triangle has a base of 4 cm and a height of 8 cm. What is its area (in sq cm)?
- 9.A triangle has a base of 8 cm and a height of 21 cm. What is its area (in sq cm)?
- 10.A rectangle has an area of 1440 sq cm and a length of 40 cm. What is its perimeter (in cm)?
- 11.A park is 16 m long and 7 m wide. Fencing costs ₹33 per metre. What does it cost to fence the park all round (in ₹)?
- 12.A rectangle has an area of 120 sq cm and a length of 30 cm. What is its perimeter (in cm)?
- 13.A garden is 26 m long and 22 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 14.A round wheel has a radius of 7 cm. What is its circumference (take π = 22/7; in cm)?
- 15.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its perimeter (in cm)?
- 16.A triangle has a base of 8 cm and a height of 23 cm. What is its area (in sq cm)?
- 17.A park is 21 m long and 9 m wide. Fencing costs ₹13 per metre. What does it cost to fence the park all round (in ₹)?
- 18.The perimeter of a square is 20 cm. What is its area (in sq cm)?
- 19.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its perimeter (in cm)?
- 20.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its perimeter (in cm)?
- 21.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
- 22.A rectangle has an area of 63 sq cm and a length of 21 cm. What is its perimeter (in cm)?
- 23.A rectangular field is 31 m long and 12 m wide. What is its area (in sq m)?
- 24.A rectangular field is 13 m long and 3 m wide. What is its area (in sq m)?
- 25.A rectangle has an area of 352 sq cm and a length of 22 cm. What is its perimeter (in cm)?
- 26.A triangle has a base of 16 cm and a height of 14 cm. What is its area (in sq cm)?
- 27.A round wheel has a diameter of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 28.A garden is 16 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)?
- 29.A rectangular field is 23 m long and 18 m wide. What is its area (in sq m)?
- 30.The perimeter of a square is 24 cm. What is its area (in sq cm)?
- 31.A park is 39 m long and 7 m wide. Fencing costs ₹27 per metre. What does it cost to fence the park all round (in ₹)?
- 32.A garden is 13 m long and 11 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 33.A rectangular field is 15 m long and 7 m wide. What is its area (in sq m)?
- 34.A rectangle has an area of 198 sq cm and a length of 22 cm. What is its perimeter (in cm)?
- 35.A rectangle has an area of 48 sq cm and a length of 8 cm. What is its perimeter (in cm)?
- 36.A park is 54 m long and 28 m wide. Fencing costs ₹21 per metre. What does it cost to fence the park all round (in ₹)?
- 37.A triangle has a base of 19 cm and a height of 10 cm. What is its area (in sq cm)?
- 38.A park is 21 m long and 8 m wide. Fencing costs ₹37 per metre. What does it cost to fence the park all round (in ₹)?
- 39.A rectangular field is 30 m long and 22 m wide. What is its area (in sq m)?
- 40.A garden is 18 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)?
Answer key
- 80
- 36
- 196
- 84
- 154
- 168
- 46
- 16
- 84
- 152
- 1518
- 68
- 208
- 44
- 22
- 92
- 780
- 25
- 60
- 18
- 1386
- 48
- 372
- 39
- 76
- 112
- 44
- 100
- 414
- 36
- 2484
- 180
- 105
- 62
- 28
- 3444
- 95
- 2146
- 660
- 52
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