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 16 cm long and 10 cm wide, a rectangle 10 cm by 6 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 80 cm and its length is 24 cm. What is its width (in cm)?
- 3.A rectangular field is 50 m long and 35 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
- 4.The perimeter of a rectangle is 88 cm and its length is 26 cm. What is its width (in cm)?
- 5.From a rectangle 20 cm long and 9 cm wide, a rectangle 12 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
- 6.A wall is 8 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
- 7.From a rectangle 6 cm long and 7 cm wide, a rectangle 4 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
- 8.The perimeter of a rectangle is 16 cm and its length is 5 cm. What is its width (in cm)?
- 9.From a rectangle 6 cm long and 8 cm wide, a rectangle 4 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
- 10.A wall is 5 m long and 5 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
- 11.A square has a perimeter of 64 cm. What is its area (in square cm)?
- 12.A square has a perimeter of 56 cm. What is its area (in square cm)?
- 13.Each side of a square is 11 cm. What is its perimeter (in cm)?
- 14.A rectangular field is 50 m long and 20 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
- 15.From a rectangle 20 cm long and 9 cm wide, a rectangle 6 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
- 16.Each side of a regular octagon is 3 cm. What is its perimeter (in cm)?
- 17.A square has a perimeter of 32 cm. What is its area (in square cm)?
- 18.The perimeter of a rectangle is 44 cm and its length is 17 cm. What is its width (in cm)?
- 19.From a rectangle 8 cm long and 14 cm wide, a rectangle 6 cm by 12 cm is cut out of one corner. What is the area of the shape left (in square cm)?
- 20.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
- 21.Each side of a square is 19 cm. What is its perimeter (in cm)?
- 22.A rectangular field is 50 m long and 45 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
- 23.The perimeter of a rectangle is 62 cm and its length is 21 cm. What is its width (in cm)?
- 24.A rectangular field is 40 m long and 10 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
- 25.From a rectangle 10 cm long and 13 cm wide, a rectangle 8 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
- 26.The perimeter of a rectangle is 80 cm and its length is 30 cm. What is its width (in cm)?
- 27.A square has a perimeter of 44 cm. What is its area (in square cm)?
- 28.From a rectangle 16 cm long and 5 cm wide, a rectangle 1 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
- 29.A rectangular field is 90 m long and 60 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
- 30.Each side of a square is 10 cm. What is its perimeter (in cm)?
- 31.From a rectangle 20 cm long and 14 cm wide, a rectangle 13 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
- 32.A square has a perimeter of 12 cm. What is its area (in square cm)?
- 33.From a rectangle 17 cm long and 6 cm wide, a rectangle 6 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
- 34.From a rectangle 12 cm long and 15 cm wide, a rectangle 7 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
- 35.A rectangular field is 85 m long and 70 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
- 36.Each side of a square is 16 cm. What is its perimeter (in cm)?
- 37.From a rectangle 11 cm long and 5 cm wide, a rectangle 8 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
- 38.A rectangular field is 85 m long and 65 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
- 39.The perimeter of a rectangle is 20 cm and its length is 7 cm. What is its width (in cm)?
- 40.A rectangular field is 90 m long and 45 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
Answer key
- 100
- 16
- 3060
- 18
- 132
- 480
- 22
- 3
- 32
- 1000
- 256
- 196
- 44
- 1680
- 156
- 24
- 64
- 5
- 40
- 1620
- 76
- 2850
- 10
- 800
- 90
- 10
- 121
- 79
- 4800
- 40
- 189
- 9
- 90
- 159
- 6510
- 64
- 31
- 4800
- 3
- 3510
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