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 rectangle has an area of 351 sq cm and a length of 39 cm. What is its perimeter (in cm)?
- 2.A garden is 17 m long and 10 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 3.A rectangular field is 19 m long and 11 m wide. What is its area (in sq m)?
- 4.A park is 41 m long and 27 m wide. Fencing costs ₹19 per metre. What does it cost to fence the park all round (in ₹)?
- 5.A rectangle has an area of 444 sq cm and a length of 37 cm. What is its perimeter (in cm)?
- 6.The perimeter of a square is 72 cm. What is its area (in sq cm)?
- 7.A triangle has a base of 16 cm and a height of 22 cm. What is its area (in sq cm)?
- 8.A triangle has a base of 9 cm and a height of 20 cm. What is its area (in sq cm)?
- 9.A rectangle has an area of 240 sq cm and a length of 40 cm. What is its perimeter (in cm)?
- 10.A garden is 19 m long and 6 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 11.A park is 13 m long and 9 m wide. Fencing costs ₹6 per metre. What does it cost to fence the park all round (in ₹)?
- 12.A round wheel has a radius of 42 cm. What is its circumference (take π = 22/7; in cm)?
- 13.The perimeter of a square is 36 cm. What is its area (in sq cm)?
- 14.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its perimeter (in cm)?
- 15.The perimeter of a square is 64 cm. What is its area (in sq cm)?
- 16.A garden is 27 m long and 23 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 17.A garden is 38 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)?
- 18.The perimeter of a square is 112 cm. What is its area (in sq cm)?
- 19.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
- 20.A garden is 26 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)?
- 21.A park is 29 m long and 27 m wide. Fencing costs ₹24 per metre. What does it cost to fence the park all round (in ₹)?
- 22.A park is 11 m long and 9 m wide. Fencing costs ₹26 per metre. What does it cost to fence the park all round (in ₹)?
- 23.A rectangle has an area of 510 sq cm and a length of 34 cm. What is its perimeter (in cm)?
- 24.A rectangular field is 8 m long and 6 m wide. What is its area (in sq m)?
- 25.A rectangle has an area of 27 sq cm and a length of 9 cm. What is its perimeter (in cm)?
- 26.A rectangle has an area of 270 sq cm and a length of 27 cm. What is its perimeter (in cm)?
- 27.A park is 13 m long and 7 m wide. Fencing costs ₹33 per metre. What does it cost to fence the park all round (in ₹)?
- 28.A round wheel has a radius of 7 cm. What is its circumference (take π = 22/7; in cm)?
- 29.A garden is 14 m long and 8 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 30.A park is 39 m long and 8 m wide. Fencing costs ₹13 per metre. What does it cost to fence the park all round (in ₹)?
- 31.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
- 32.The perimeter of a square is 20 cm. What is its area (in sq cm)?
- 33.A rectangular field is 21 m long and 12 m wide. What is its area (in sq m)?
- 34.A triangle has a base of 4 cm and a height of 7 cm. What is its area (in sq cm)?
- 35.A triangle has a base of 10 cm and a height of 10 cm. What is its area (in sq cm)?
- 36.A rectangle has an area of 620 sq cm and a length of 31 cm. What is its perimeter (in cm)?
- 37.A rectangle has an area of 280 sq cm and a length of 28 cm. What is its perimeter (in cm)?
- 38.A garden is 16 m long and 12 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 7 cm (take π = 22/7; answer in sq cm).
- 40.The perimeter of a square is 52 cm. What is its area (in sq cm)?
Answer key
- 96
- 198
- 209
- 2584
- 98
- 324
- 176
- 90
- 92
- 186
- 264
- 264
- 81
- 48
- 256
- 104
- 204
- 784
- 2464
- 144
- 2688
- 1040
- 98
- 48
- 24
- 74
- 1320
- 44
- 104
- 1222
- 1386
- 25
- 252
- 14
- 50
- 102
- 76
- 204
- 154
- 169
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