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 35 m long and 9 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 2.A triangle has a base of 8 cm and a height of 21 cm. What is its area (in sq cm)?
- 3.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
- 4.A triangle has a base of 16 cm and a height of 15 cm. What is its area (in sq cm)?
- 5.A rectangular field is 6 m long and 4 m wide. What is its area (in sq m)?
- 6.A garden is 17 m long and 12 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 7.A rectangle has an area of 136 sq cm and a length of 34 cm. What is its perimeter (in cm)?
- 8.A rectangular field is 10 m long and 3 m wide. What is its area (in sq m)?
- 9.A garden is 10 m long and 9 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 10.A rectangle has an area of 280 sq cm and a length of 40 cm. What is its perimeter (in cm)?
- 11.The perimeter of a square is 12 cm. What is its area (in sq cm)?
- 12.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 13.A garden is 25 m long and 9 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 14.The perimeter of a square is 96 cm. What is its area (in sq cm)?
- 15.A rectangle has an area of 650 sq cm and a length of 26 cm. What is its perimeter (in cm)?
- 16.A round wheel has a diameter of 42 cm. What is its circumference (take π = 22/7; in cm)?
- 17.A rectangular field is 36 m long and 6 m wide. What is its area (in sq m)?
- 18.A park is 35 m long and 25 m wide. Fencing costs ₹9 per metre. What does it cost to fence the park all round (in ₹)?
- 19.A park is 47 m long and 8 m wide. Fencing costs ₹39 per metre. What does it cost to fence the park all round (in ₹)?
- 20.The perimeter of a square is 56 cm. What is its area (in sq cm)?
- 21.A round wheel has a diameter of 70 cm. What is its circumference (take π = 22/7; in cm)?
- 22.A triangle has a base of 16 cm and a height of 19 cm. What is its area (in sq cm)?
- 23.A garden is 24 m long and 9 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 24.The perimeter of a square is 112 cm. What is its area (in sq cm)?
- 25.A rectangle has an area of 243 sq cm and a length of 27 cm. What is its perimeter (in cm)?
- 26.A rectangular field is 37 m long and 13 m wide. What is its area (in sq m)?
- 27.A triangle has a base of 22 cm and a height of 11 cm. What is its area (in sq cm)?
- 28.A garden is 28 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 triangle has a base of 15 cm and a height of 20 cm. What is its area (in sq cm)?
- 30.A rectangular field is 35 m long and 11 m wide. What is its area (in sq m)?
- 31.A rectangle has an area of 594 sq cm and a length of 33 cm. What is its perimeter (in cm)?
- 32.A rectangle has an area of 483 sq cm and a length of 23 cm. What is its perimeter (in cm)?
- 33.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
- 34.The perimeter of a square is 52 cm. What is its area (in sq cm)?
- 35.A park is 37 m long and 19 m wide. Fencing costs ₹38 per metre. What does it cost to fence the park all round (in ₹)?
- 36.A park is 51 m long and 11 m wide. Fencing costs ₹40 per metre. What does it cost to fence the park all round (in ₹)?
- 37.A garden is 10 m long and 5 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 38.A triangle has a base of 4 cm and a height of 15 cm. What is its area (in sq cm)?
- 39.A rectangle has an area of 54 sq cm and a length of 9 cm. What is its perimeter (in cm)?
- 40.A triangle has a base of 13 cm and a height of 4 cm. What is its area (in sq cm)?
Answer key
- 192
- 84
- 2464
- 120
- 24
- 132
- 76
- 30
- 42
- 94
- 9
- 154
- 72
- 576
- 102
- 132
- 216
- 1080
- 4290
- 196
- 220
- 152
- 148
- 784
- 72
- 481
- 121
- 148
- 150
- 385
- 102
- 88
- 1386
- 169
- 4256
- 4960
- 126
- 30
- 30
- 26
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