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 4 cm and a height of 10 cm. What is its area (in sq cm)?
- 2.A round wheel has a radius of 42 cm. What is its circumference (take π = 22/7; in cm)?
- 3.A rectangle has an area of 1040 sq cm and a length of 40 cm. What is its perimeter (in cm)?
- 4.A park is 18 m long and 8 m wide. Fencing costs ₹10 per metre. What does it cost to fence the park all round (in ₹)?
- 5.A garden is 31 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)?
- 6.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its perimeter (in cm)?
- 7.A park is 16 m long and 12 m wide. Fencing costs ₹25 per metre. What does it cost to fence the park all round (in ₹)?
- 8.A triangle has a base of 4 cm and a height of 5 cm. What is its area (in sq cm)?
- 9.A garden is 21 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)?
- 10.A rectangle has an area of 24 sq cm and a length of 8 cm. What is its perimeter (in cm)?
- 11.A triangle has a base of 16 cm and a height of 4 cm. What is its area (in sq cm)?
- 12.A round wheel has a diameter of 28 cm. What is its circumference (take π = 22/7; in cm)?
- 13.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
- 14.A round wheel has a radius of 21 cm. What is its circumference (take π = 22/7; in cm)?
- 15.The perimeter of a square is 20 cm. What is its area (in sq cm)?
- 16.A rectangular field is 6 m long and 3 m wide. What is its area (in sq m)?
- 17.A round wheel has a diameter of 70 cm. What is its circumference (take π = 22/7; in cm)?
- 18.A rectangle has an area of 24 sq cm and a length of 6 cm. What is its perimeter (in cm)?
- 19.A park is 46 m long and 28 m wide. Fencing costs ₹6 per metre. What does it cost to fence the park all round (in ₹)?
- 20.A triangle has a base of 10 cm and a height of 23 cm. What is its area (in sq cm)?
- 21.A triangle has a base of 8 cm and a height of 20 cm. What is its area (in sq cm)?
- 22.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
- 23.A triangle has a base of 26 cm and a height of 23 cm. What is its area (in sq cm)?
- 24.A garden is 22 m long and 13 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 25.A rectangular field is 10 m long and 7 m wide. What is its area (in sq m)?
- 26.A rectangular field is 29 m long and 5 m wide. What is its area (in sq m)?
- 27.A rectangular field is 17 m long and 10 m wide. What is its area (in sq m)?
- 28.A round wheel has a radius of 7 cm. What is its circumference (take π = 22/7; in cm)?
- 29.A rectangular field is 27 m long and 12 m wide. What is its area (in sq m)?
- 30.The perimeter of a square is 24 cm. What is its area (in sq cm)?
- 31.A triangle has a base of 20 cm and a height of 17 cm. What is its area (in sq cm)?
- 32.A rectangle has an area of 220 sq cm and a length of 22 cm. What is its perimeter (in cm)?
- 33.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
- 34.A garden is 25 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)?
- 35.A triangle has a base of 20 cm and a height of 4 cm. What is its area (in sq cm)?
- 36.A garden is 40 m long and 33 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 37.A rectangle has an area of 175 sq cm and a length of 25 cm. What is its perimeter (in cm)?
- 38.A park is 22 m long and 18 m wide. Fencing costs ₹13 per metre. What does it cost to fence the park all round (in ₹)?
- 39.A triangle has a base of 19 cm and a height of 16 cm. What is its area (in sq cm)?
- 40.The perimeter of a square is 40 cm. What is its area (in sq cm)?
Answer key
- 20
- 264
- 132
- 520
- 112
- 48
- 1400
- 10
- 210
- 22
- 32
- 88
- 2464
- 132
- 25
- 18
- 220
- 20
- 888
- 115
- 80
- 616
- 299
- 156
- 70
- 145
- 170
- 44
- 324
- 36
- 170
- 64
- 1386
- 222
- 40
- 308
- 64
- 1040
- 152
- 100
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