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.
NameDateTime takenScore ___ / 40
- 1.The perimeter of a square is 40 cm. What is its area (in sq 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 26 m long and 3 m wide. What is its area (in sq m)?
- 4.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
- 5.A park is 44 m long and 15 m wide. Fencing costs ₹25 per metre. What does it cost to fence the park all round (in ₹)?
- 6.A round wheel has a radius of 42 cm. What is its circumference (take π = 22/7; in cm)?
- 7.A triangle has a base of 20 cm and a height of 8 cm. What is its area (in sq cm)?
- 8.A round wheel has a radius of 21 cm. What is its circumference (take π = 22/7; in cm)?
- 9.A garden is 29 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)?
- 10.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its perimeter (in cm)?
- 11.The perimeter of a square is 48 cm. What is its area (in sq cm)?
- 12.The perimeter of a square is 24 cm. What is its area (in sq 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 diameter of 84 cm. What is its circumference (take π = 22/7; in cm)?
- 15.A park is 13 m long and 7 m wide. Fencing costs ₹38 per metre. What does it cost to fence the park all round (in ₹)?
- 16.A triangle has a base of 18 cm and a height of 16 cm. What is its area (in sq cm)?
- 17.A triangle has a base of 10 cm and a height of 19 cm. What is its area (in sq cm)?
- 18.A rectangular field is 31 m long and 20 m wide. What is its area (in sq m)?
- 19.A rectangular field is 15 m long and 10 m wide. What is its area (in sq m)?
- 20.The perimeter of a square is 116 cm. What is its area (in sq cm)?
- 21.A round wheel has a radius of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 22.A triangle has a base of 14 cm and a height of 18 cm. What is its area (in sq cm)?
- 23.A park is 42 m long and 23 m wide. Fencing costs ₹23 per metre. What does it cost to fence the park all round (in ₹)?
- 24.A garden is 34 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)?
- 25.A rectangular field is 27 m long and 25 m wide. What is its area (in sq m)?
- 26.A park is 33 m long and 9 m wide. Fencing costs ₹22 per metre. What does it cost to fence the park all round (in ₹)?
- 27.A park is 29 m long and 6 m wide. Fencing costs ₹19 per metre. What does it cost to fence the park all round (in ₹)?
- 28.The perimeter of a square is 32 cm. What is its area (in sq cm)?
- 29.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its perimeter (in cm)?
- 30.A rectangular field is 15 m long and 8 m wide. What is its area (in sq m)?
- 31.A triangle has a base of 8 cm and a height of 11 cm. What is its area (in sq cm)?
- 32.A rectangle has an area of 112 sq cm and a length of 14 cm. What is its perimeter (in cm)?
- 33.The perimeter of a square is 120 cm. What is its area (in sq cm)?
- 34.A park is 54 m long and 5 m wide. Fencing costs ₹40 per metre. What does it cost to fence the park all round (in ₹)?
- 35.A garden is 23 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)?
- 36.A triangle has a base of 30 cm and a height of 6 cm. What is its area (in sq cm)?
- 37.A park is 12 m long and 10 m wide. Fencing costs ₹33 per metre. What does it cost to fence the park all round (in ₹)?
- 38.A park is 14 m long and 11 m wide. Fencing costs ₹14 per metre. What does it cost to fence the park all round (in ₹)?
- 39.A round wheel has a diameter of 28 cm. What is its circumference (take π = 22/7; in cm)?
- 40.A rectangular field is 21 m long and 20 m wide. What is its area (in sq m)?
Answer key
- 100
- 198
- 78
- 1386
- 2950
- 264
- 80
- 132
- 282
- 44
- 144
- 36
- 2464
- 264
- 1520
- 144
- 95
- 620
- 150
- 841
- 88
- 126
- 2990
- 228
- 675
- 1848
- 1330
- 64
- 22
- 120
- 44
- 44
- 900
- 4720
- 88
- 90
- 1452
- 700
- 88
- 420
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