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 9 cm long and 5 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)?
- 2.A wall is 12 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
- 3.The perimeter of a rectangle is 92 cm and its length is 26 cm. What is its width (in cm)?
- 4.The perimeter of a rectangle is 60 cm and its length is 23 cm. What is its width (in cm)?
- 5.A rectangular field is 75 m long and 10 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
- 6.The perimeter of a rectangle is 84 cm and its length is 24 cm. What is its width (in cm)?
- 7.A rectangular field is 35 m long and 30 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
- 8.Each side of a regular hexagon is 5 cm. What is its perimeter (in cm)?
- 9.Each side of a regular pentagon is 17 cm. What is its perimeter (in cm)?
- 10.A rectangular field is 70 m long and 10 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
- 11.A square has a perimeter of 24 cm. What is its area (in square cm)?
- 12.From a rectangle 12 cm long and 7 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)?
- 13.A rectangular field is 90 m long and 40 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
- 14.A wall is 11 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
- 15.A wall is 11 m long and 3 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
- 16.The perimeter of a rectangle is 50 cm and its length is 15 cm. What is its width (in cm)?
- 17.Each side of an equilateral triangle is 22 cm. What is its perimeter (in cm)?
- 18.From a rectangle 16 cm long and 6 cm wide, a rectangle 14 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
- 19.A square has a perimeter of 20 cm. What is its area (in square cm)?
- 20.From a rectangle 9 cm long and 5 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)?
- 21.The perimeter of a rectangle is 70 cm and its length is 20 cm. What is its width (in cm)?
- 22.Each side of a square is 13 cm. What is its perimeter (in cm)?
- 23.The perimeter of a rectangle is 86 cm and its length is 28 cm. What is its width (in cm)?
- 24.A wall is 4 m long and 4 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
- 25.A rectangular field is 60 m long and 25 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
- 26.Each side of a regular hexagon is 24 cm. What is its perimeter (in cm)?
- 27.Each side of a square is 21 cm. What is its perimeter (in cm)?
- 28.From a rectangle 20 cm long and 5 cm wide, a rectangle 7 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 20 m long and 15 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
- 30.A square has a perimeter of 68 cm. What is its area (in square cm)?
- 31.The perimeter of a rectangle is 32 cm and its length is 11 cm. What is its width (in cm)?
- 32.A rectangular field is 80 m long and 20 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
- 33.A wall is 3 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
- 34.A rectangular field is 50 m long and 20 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
- 35.The perimeter of a rectangle is 90 cm and its length is 24 cm. What is its width (in cm)?
- 36.The perimeter of a rectangle is 106 cm and its length is 29 cm. What is its width (in cm)?
- 37.From a rectangle 11 cm long and 6 cm wide, a rectangle 6 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
- 38.Each side of a regular hexagon is 2 cm. What is its perimeter (in cm)?
- 39.From a rectangle 13 cm long and 7 cm wide, a rectangle 11 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
- 40.A rectangular field is 100 m long and 35 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
Answer key
- 33
- 3000
- 20
- 7
- 3570
- 18
- 1040
- 30
- 85
- 3040
- 36
- 79
- 2340
- 880
- 1650
- 10
- 66
- 68
- 25
- 40
- 15
- 52
- 15
- 480
- 2210
- 144
- 84
- 93
- 1260
- 289
- 5
- 3400
- 90
- 1120
- 21
- 24
- 60
- 12
- 36
- 2430
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