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.The perimeter of a square is 24 cm. What is its area (in sq cm)?
- 2.A garden is 18 m long and 17 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 3.A garden is 39 m long and 19 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 4.A park is 20 m long and 14 m wide. Fencing costs ₹13 per metre. What does it cost to fence the park all round (in ₹)?
- 5.A rectangle has an area of 60 sq cm and a length of 20 cm. What is its perimeter (in cm)?
- 6.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
- 7.A triangle has a base of 6 cm and a height of 24 cm. What is its area (in sq cm)?
- 8.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
- 9.A round wheel has a diameter of 84 cm. What is its circumference (take π = 22/7; in cm)?
- 10.A rectangle has an area of 340 sq cm and a length of 34 cm. What is its perimeter (in cm)?
- 11.A triangle has a base of 16 cm and a height of 25 cm. What is its area (in sq cm)?
- 12.A round wheel has a radius of 28 cm. What is its circumference (take π = 22/7; in cm)?
- 13.A triangle has a base of 13 cm and a height of 8 cm. What is its area (in sq cm)?
- 14.A triangle has a base of 4 cm and a height of 20 cm. What is its area (in sq cm)?
- 15.A triangle has a base of 12 cm and a height of 6 cm. What is its area (in sq cm)?
- 16.The perimeter of a square is 20 cm. What is its area (in sq cm)?
- 17.A garden is 37 m long and 26 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 18.A garden is 39 m long and 26 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 19.A park is 48 m long and 34 m wide. Fencing costs ₹27 per metre. What does it cost to fence the park all round (in ₹)?
- 20.A rectangle has an area of 200 sq cm and a length of 25 cm. What is its perimeter (in cm)?
- 21.A rectangle has an area of 120 sq cm and a length of 20 cm. What is its perimeter (in cm)?
- 22.A garden is 22 m long and 18 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 23.A park is 44 m long and 43 m wide. Fencing costs ₹35 per metre. What does it cost to fence the park all round (in ₹)?
- 24.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 25.A park is 28 m long and 23 m wide. Fencing costs ₹11 per metre. What does it cost to fence the park all round (in ₹)?
- 26.A triangle has a base of 18 cm and a height of 8 cm. What is its area (in sq cm)?
- 27.A rectangle has an area of 1326 sq cm and a length of 39 cm. What is its perimeter (in cm)?
- 28.A rectangular field is 25 m long and 8 m wide. What is its area (in sq m)?
- 29.A round wheel has a radius of 35 cm. What is its circumference (take π = 22/7; in cm)?
- 30.A round wheel has a radius of 42 cm. What is its circumference (take π = 22/7; in cm)?
- 31.A park is 13 m long and 12 m wide. Fencing costs ₹15 per metre. What does it cost to fence the park all round (in ₹)?
- 32.A rectangular field is 30 m long and 27 m wide. What is its area (in sq m)?
- 33.A triangle has a base of 22 cm and a height of 13 cm. What is its area (in sq cm)?
- 34.A round wheel has a diameter of 28 cm. What is its circumference (take π = 22/7; in cm)?
- 35.The perimeter of a square is 108 cm. What is its area (in sq cm)?
- 36.A rectangular field is 18 m long and 12 m wide. What is its area (in sq m)?
- 37.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
- 38.A rectangular field is 26 m long and 5 m wide. What is its area (in sq m)?
- 39.A rectangle has an area of 136 sq cm and a length of 17 cm. What is its perimeter (in cm)?
- 40.A rectangle has an area of 153 sq cm and a length of 17 cm. What is its perimeter (in cm)?
Answer key
- 36
- 156
- 248
- 884
- 46
- 1386
- 72
- 616
- 264
- 88
- 200
- 176
- 52
- 40
- 36
- 25
- 268
- 134
- 4428
- 66
- 52
- 176
- 6090
- 154
- 1122
- 72
- 146
- 200
- 220
- 264
- 750
- 810
- 143
- 88
- 729
- 216
- 2464
- 130
- 50
- 52
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