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 6 cm. What is its area (in sq cm)?
- 2.A garden is 12 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)?
- 3.A triangle has a base of 6 cm and a height of 6 cm. What is its area (in sq cm)?
- 4.A rectangular field is 14 m long and 11 m wide. What is its area (in sq m)?
- 5.A park is 60 m long and 18 m wide. Fencing costs ₹20 per metre. What does it cost to fence the park all round (in ₹)?
- 6.The perimeter of a square is 68 cm. What is its area (in sq cm)?
- 7.A round wheel has a diameter of 56 cm. What is its circumference (take π = 22/7; in cm)?
- 8.The perimeter of a square is 80 cm. What is its area (in sq cm)?
- 9.A garden is 35 m long and 31 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 10.A triangle has a base of 8 cm and a height of 9 cm. What is its area (in sq cm)?
- 11.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
- 12.A garden is 15 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)?
- 13.A triangle has a base of 19 cm and a height of 12 cm. What is its area (in sq cm)?
- 14.A garden is 29 m long and 27 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 15.A garden is 26 m long and 19 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 16.A triangle has a base of 14 cm and a height of 12 cm. What is its area (in sq cm)?
- 17.A rectangular field is 13 m long and 3 m wide. What is its area (in sq m)?
- 18.A round wheel has a radius of 42 cm. What is its circumference (take π = 22/7; in cm)?
- 19.A rectangular field is 27 m long and 10 m wide. What is its area (in sq m)?
- 20.A round wheel has a radius of 7 cm. What is its circumference (take π = 22/7; in cm)?
- 21.A garden is 38 m long and 12 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 22.A triangle has a base of 22 cm and a height of 6 cm. What is its area (in sq cm)?
- 23.A park is 14 m long and 10 m wide. Fencing costs ₹10 per metre. What does it cost to fence the park all round (in ₹)?
- 24.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its perimeter (in cm)?
- 25.A rectangular field is 27 m long and 5 m wide. What is its area (in sq m)?
- 26.A triangle has a base of 19 cm and a height of 14 cm. What is its area (in sq cm)?
- 27.A round wheel has a diameter of 70 cm. What is its circumference (take π = 22/7; in cm)?
- 28.A park is 29 m long and 18 m wide. Fencing costs ₹40 per metre. What does it cost to fence the park all round (in ₹)?
- 29.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
- 30.A rectangle has an area of 399 sq cm and a length of 21 cm. What is its perimeter (in cm)?
- 31.A triangle has a base of 24 cm and a height of 21 cm. What is its area (in sq cm)?
- 32.A rectangle has an area of 111 sq cm and a length of 37 cm. What is its perimeter (in cm)?
- 33.A rectangle has an area of 84 sq cm and a length of 12 cm. What is its perimeter (in cm)?
- 34.A rectangle has an area of 160 sq cm and a length of 16 cm. What is its perimeter (in cm)?
- 35.The perimeter of a square is 96 cm. What is its area (in sq cm)?
- 36.A rectangle has an area of 15 sq cm and a length of 5 cm. What is its perimeter (in cm)?
- 37.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
- 38.A rectangular field is 13 m long and 6 m wide. What is its area (in sq m)?
- 39.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 40.The perimeter of a square is 56 cm. What is its area (in sq cm)?
Answer key
- 48
- 88
- 18
- 154
- 3120
- 289
- 176
- 400
- 280
- 36
- 1386
- 100
- 114
- 116
- 306
- 84
- 39
- 264
- 270
- 44
- 104
- 66
- 480
- 40
- 135
- 133
- 220
- 3760
- 2464
- 80
- 252
- 80
- 38
- 52
- 576
- 16
- 616
- 78
- 154
- 196
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