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 17 cm and a height of 12 cm. What is its area (in sq cm)?
- 2.A rectangular field is 40 m long and 33 m wide. What is its area (in sq m)?
- 3.A rectangular field is 15 m long and 8 m wide. What is its area (in sq m)?
- 4.A park is 23 m long and 17 m wide. Fencing costs ₹38 per metre. What does it cost to fence the park all round (in ₹)?
- 5.A park is 41 m long and 27 m wide. Fencing costs ₹27 per metre. What does it cost to fence the park all round (in ₹)?
- 6.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
- 7.A rectangle has an area of 280 sq cm and a length of 20 cm. What is its perimeter (in cm)?
- 8.A park is 17 m long and 12 m wide. Fencing costs ₹20 per metre. What does it cost to fence the park all round (in ₹)?
- 9.A park is 40 m long and 21 m wide. Fencing costs ₹8 per metre. What does it cost to fence the park all round (in ₹)?
- 10.A rectangle has an area of 1120 sq cm and a length of 35 cm. What is its perimeter (in cm)?
- 11.A rectangle has an area of 221 sq cm and a length of 17 cm. What is its perimeter (in cm)?
- 12.A rectangle has an area of 1053 sq cm and a length of 39 cm. What is its perimeter (in cm)?
- 13.A rectangular field is 25 m long and 14 m wide. What is its area (in sq m)?
- 14.A park is 33 m long and 11 m wide. Fencing costs ₹8 per metre. What does it cost to fence the park all round (in ₹)?
- 15.A triangle has a base of 5 cm and a height of 12 cm. What is its area (in sq cm)?
- 16.A rectangular field is 21 m long and 19 m wide. What is its area (in sq m)?
- 17.A park is 59 m long and 5 m wide. Fencing costs ₹29 per metre. What does it cost to fence the park all round (in ₹)?
- 18.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
- 19.A triangle has a base of 29 cm and a height of 12 cm. What is its area (in sq cm)?
- 20.A triangle has a base of 24 cm and a height of 9 cm. What is its area (in sq cm)?
- 21.A triangle has a base of 16 cm and a height of 7 cm. What is its area (in sq cm)?
- 22.A garden is 33 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)?
- 23.A rectangular field is 31 m long and 25 m wide. What is its area (in sq m)?
- 24.A rectangular field is 31 m long and 29 m wide. What is its area (in sq m)?
- 25.A park is 11 m long and 5 m wide. Fencing costs ₹38 per metre. What does it cost to fence the park all round (in ₹)?
- 26.A rectangle has an area of 814 sq cm and a length of 37 cm. What is its perimeter (in cm)?
- 27.A triangle has a base of 14 cm and a height of 3 cm. What is its area (in sq cm)?
- 28.The perimeter of a square is 96 cm. What is its area (in sq cm)?
- 29.The perimeter of a square is 48 cm. What is its area (in sq cm)?
- 30.A park is 41 m long and 8 m wide. Fencing costs ₹26 per metre. What does it cost to fence the park all round (in ₹)?
- 31.A triangle has a base of 16 cm and a height of 10 cm. What is its area (in sq cm)?
- 32.A triangle has a base of 9 cm and a height of 18 cm. What is its area (in sq cm)?
- 33.A park is 57 m long and 50 m wide. Fencing costs ₹25 per metre. What does it cost to fence the park all round (in ₹)?
- 34.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its perimeter (in cm)?
- 35.The perimeter of a square is 112 cm. What is its area (in sq cm)?
- 36.A triangle has a base of 8 cm and a height of 19 cm. What is its area (in sq cm)?
- 37.A triangle has a base of 22 cm and a height of 11 cm. What is its area (in sq cm)?
- 38.A garden is 36 m long and 17 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 39.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
- 40.A rectangle has an area of 434 sq cm and a length of 31 cm. What is its perimeter (in cm)?
Answer key
- 102
- 1320
- 120
- 3040
- 3672
- 616
- 68
- 1160
- 976
- 134
- 60
- 132
- 350
- 704
- 30
- 399
- 3712
- 2464
- 174
- 108
- 56
- 264
- 775
- 899
- 1216
- 118
- 21
- 576
- 144
- 2548
- 80
- 81
- 5350
- 46
- 784
- 76
- 121
- 354
- 1386
- 90
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