Class 6 Maths Worksheet: Perimeter and Area
The method (Around or inside): Perimeter of a regular shape = number of sides × side. Rectangle: 2 × (length + width). Area of a rectangle = length × width; square = side × side. Cost of fencing = perimeter × rate per metre; cost of painting = area × rate per square metre. Cut-out shape: area of the big rectangle − area of the part cut out.
NameDateTime takenScore ___ / 40
- 1.From a rectangle 8 cm long and 5 cm wide, a rectangle 3 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
- 2.The perimeter of a rectangle is 52 cm and its length is 18 cm. What is its width (in cm)?
- 3.The perimeter of a rectangle is 18 cm and its length is 5 cm. What is its width (in cm)?
- 4.A wall is 12 m long and 6 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
- 5.Each side of a regular pentagon is 3 cm. What is its perimeter (in cm)?
- 6.From a rectangle 6 cm long and 7 cm wide, a rectangle 2 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
- 7.From a rectangle 13 cm long and 13 cm wide, a rectangle 9 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
- 8.From a rectangle 16 cm long and 5 cm wide, a rectangle 2 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
- 9.Each side of a regular hexagon is 3 cm. What is its perimeter (in cm)?
- 10.From a rectangle 8 cm long and 10 cm wide, a rectangle 6 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
- 11.Each side of a regular pentagon is 4 cm. What is its perimeter (in cm)?
- 12.A rectangular field is 85 m long and 40 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
- 13.A rectangular field is 85 m long and 15 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
- 14.Each side of a regular hexagon is 24 cm. What is its perimeter (in cm)?
- 15.From a rectangle 20 cm long and 5 cm wide, a rectangle 5 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
- 16.Each side of a regular hexagon is 18 cm. What is its perimeter (in cm)?
- 17.The perimeter of a rectangle is 34 cm and its length is 11 cm. What is its width (in cm)?
- 18.A wall is 7 m long and 6 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
- 19.A wall is 9 m long and 4 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
- 20.A rectangular field is 70 m long and 65 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
- 21.Each side of a regular pentagon is 5 cm. What is its perimeter (in cm)?
- 22.The perimeter of a rectangle is 62 cm and its length is 26 cm. What is its width (in cm)?
- 23.Each side of a square is 6 cm. What is its perimeter (in cm)?
- 24.Each side of a regular octagon is 15 cm. What is its perimeter (in cm)?
- 25.A wall is 8 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
- 26.A rectangular field is 100 m long and 55 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
- 27.From a rectangle 16 cm long and 11 cm wide, a rectangle 6 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
- 28.Each side of a regular octagon is 2 cm. What is its perimeter (in cm)?
- 29.A rectangular field is 55 m long and 25 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
- 30.A rectangular field is 45 m long and 30 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
- 31.Each side of a regular octagon is 3 cm. What is its perimeter (in cm)?
- 32.From a rectangle 9 cm long and 9 cm wide, a rectangle 3 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
- 33.Each side of a square is 22 cm. What is its perimeter (in cm)?
- 34.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
- 35.A rectangular field is 65 m long and 20 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
- 36.The perimeter of a rectangle is 84 cm and its length is 22 cm. What is its width (in cm)?
- 37.The perimeter of a rectangle is 74 cm and its length is 24 cm. What is its width (in cm)?
- 38.The perimeter of a rectangle is 60 cm and its length is 19 cm. What is its width (in cm)?
- 39.The perimeter of a rectangle is 86 cm and its length is 23 cm. What is its width (in cm)?
- 40.A rectangular field is 90 m long and 10 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
Answer key
- 34
- 8
- 4
- 3240
- 15
- 40
- 88
- 78
- 18
- 62
- 20
- 3750
- 4600
- 144
- 90
- 108
- 6
- 2100
- 1260
- 1890
- 25
- 5
- 24
- 120
- 640
- 1550
- 128
- 16
- 2560
- 2100
- 24
- 78
- 88
- 1050
- 2380
- 20
- 13
- 11
- 20
- 1800
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