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.A square has a perimeter of 60 cm. What is its area (in square cm)?
- 2.From a rectangle 12 cm long and 8 cm wide, a rectangle 5 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
- 3.A wall is 5 m long and 3 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
- 4.A rectangular field is 40 m long and 25 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
- 5.From a rectangle 7 cm long and 6 cm wide, a rectangle 5 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
- 6.From a rectangle 11 cm long and 12 cm wide, a rectangle 7 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
- 7.A wall is 11 m long and 6 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
- 8.Each side of a regular octagon is 5 cm. What is its perimeter (in cm)?
- 9.A rectangular field is 80 m long and 10 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
- 10.A rectangular field is 85 m long and 15 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
- 11.A rectangular field is 65 m long and 60 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
- 12.Each side of a regular octagon is 2 cm. What is its perimeter (in cm)?
- 13.Each side of an equilateral triangle is 13 cm. What is its perimeter (in cm)?
- 14.A wall is 5 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
- 15.From a rectangle 7 cm long and 11 cm wide, a rectangle 2 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
- 16.A wall is 12 m long and 6 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
- 17.Each side of a regular pentagon is 21 cm. What is its perimeter (in cm)?
- 18.A wall is 11 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
- 19.The perimeter of a rectangle is 46 cm and its length is 13 cm. What is its width (in cm)?
- 20.The perimeter of a rectangle is 102 cm and its length is 26 cm. What is its width (in cm)?
- 21.From a rectangle 7 cm long and 7 cm wide, a rectangle 5 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
- 22.The perimeter of a rectangle is 44 cm and its length is 13 cm. What is its width (in cm)?
- 23.The perimeter of a rectangle is 22 cm and its length is 9 cm. What is its width (in cm)?
- 24.A rectangular field is 55 m long and 40 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
- 25.The perimeter of a rectangle is 28 cm and its length is 10 cm. What is its width (in cm)?
- 26.From a rectangle 20 cm long and 14 cm wide, a rectangle 7 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
- 27.A rectangular field is 50 m long and 10 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
- 28.Each side of a regular octagon is 3 cm. What is its perimeter (in cm)?
- 29.A wall is 11 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
- 30.The perimeter of a rectangle is 54 cm and its length is 14 cm. What is its width (in cm)?
- 31.From a rectangle 10 cm long and 11 cm wide, a rectangle 3 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
- 32.From a rectangle 17 cm long and 8 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)?
- 33.The perimeter of a rectangle is 106 cm and its length is 28 cm. What is its width (in cm)?
- 34.From a rectangle 12 cm long and 8 cm wide, a rectangle 3 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
- 35.The perimeter of a rectangle is 34 cm and its length is 10 cm. What is its width (in cm)?
- 36.A rectangular field is 60 m long and 20 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
- 37.From a rectangle 6 cm long and 9 cm wide, a rectangle 1 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
- 38.The perimeter of a rectangle is 104 cm and its length is 28 cm. What is its width (in cm)?
- 39.A wall is 8 m long and 6 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
- 40.A wall is 6 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
Answer key
- 225
- 66
- 450
- 2470
- 37
- 69
- 3300
- 40
- 3060
- 4000
- 4000
- 16
- 39
- 300
- 63
- 2160
- 105
- 2750
- 10
- 25
- 34
- 9
- 2
- 4370
- 4
- 210
- 1680
- 24
- 1100
- 13
- 95
- 130
- 25
- 81
- 7
- 2080
- 49
- 24
- 1200
- 240
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