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 rectangular field is 34 m long and 24 m wide. What is its area (in sq m)?
- 2.A park is 19 m long and 18 m wide. Fencing costs ₹16 per metre. What does it cost to fence the park all round (in ₹)?
- 3.A round wheel has a diameter of 56 cm. What is its circumference (take π = 22/7; in cm)?
- 4.A rectangular field is 17 m long and 11 m wide. What is its area (in sq m)?
- 5.A triangle has a base of 6 cm and a height of 22 cm. What is its area (in sq cm)?
- 6.A garden is 26 m long and 19 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 7.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
- 8.A round wheel has a diameter of 42 cm. What is its circumference (take π = 22/7; in cm)?
- 9.A rectangle has an area of 1260 sq cm and a length of 36 cm. What is its perimeter (in cm)?
- 10.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
- 11.A round wheel has a diameter of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 12.A park is 56 m long and 49 m wide. Fencing costs ₹23 per metre. What does it cost to fence the park all round (in ₹)?
- 13.A round wheel has a radius of 42 cm. What is its circumference (take π = 22/7; in cm)?
- 14.A rectangular field is 10 m long and 3 m wide. What is its area (in sq m)?
- 15.A rectangle has an area of 432 sq cm and a length of 24 cm. What is its perimeter (in cm)?
- 16.A park is 49 m long and 29 m wide. Fencing costs ₹38 per metre. What does it cost to fence the park all round (in ₹)?
- 17.A rectangular field is 15 m long and 5 m wide. What is its area (in sq m)?
- 18.A garden is 35 m long and 32 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 19.The perimeter of a square is 56 cm. What is its area (in sq cm)?
- 20.The perimeter of a square is 104 cm. What is its area (in sq cm)?
- 21.A triangle has a base of 27 cm and a height of 8 cm. What is its area (in sq cm)?
- 22.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
- 23.A rectangle has an area of 105 sq cm and a length of 15 cm. What is its perimeter (in cm)?
- 24.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its perimeter (in cm)?
- 25.The perimeter of a square is 88 cm. What is its area (in sq cm)?
- 26.A garden is 29 m long and 7 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 27.A rectangle has an area of 308 sq cm and a length of 28 cm. What is its perimeter (in cm)?
- 28.A triangle has a base of 23 cm and a height of 16 cm. What is its area (in sq cm)?
- 29.A park is 55 m long and 39 m wide. Fencing costs ₹13 per metre. What does it cost to fence the park all round (in ₹)?
- 30.A rectangular field is 30 m long and 17 m wide. What is its area (in sq m)?
- 31.A garden is 10 m long and 8 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 32.A triangle has a base of 20 cm and a height of 20 cm. What is its area (in sq cm)?
- 33.A garden is 35 m long and 16 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 34.The perimeter of a square is 120 cm. What is its area (in sq cm)?
- 35.A garden is 24 m long and 18 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 36.A rectangle has an area of 1480 sq cm and a length of 40 cm. What is its perimeter (in cm)?
- 37.The perimeter of a square is 92 cm. What is its area (in sq cm)?
- 38.A triangle has a base of 22 cm and a height of 4 cm. What is its area (in sq cm)?
- 39.A rectangle has an area of 1368 sq cm and a length of 38 cm. What is its perimeter (in cm)?
- 40.A rectangle has an area of 66 sq cm and a length of 11 cm. What is its perimeter (in cm)?
Answer key
- 816
- 1184
- 176
- 187
- 66
- 94
- 616
- 132
- 142
- 2464
- 44
- 4830
- 264
- 30
- 84
- 5928
- 75
- 138
- 196
- 676
- 108
- 1386
- 44
- 54
- 484
- 160
- 78
- 184
- 2444
- 510
- 144
- 200
- 106
- 900
- 88
- 154
- 529
- 44
- 148
- 34
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