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.Each side of an equilateral triangle is 23 cm. What is its perimeter (in cm)?
- 2.From a rectangle 17 cm long and 11 cm wide, a rectangle 15 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
- 3.A rectangular field is 80 m long and 35 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
- 4.The perimeter of a rectangle is 48 cm and its length is 13 cm. What is its width (in cm)?
- 5.A square has a perimeter of 80 cm. What is its area (in square cm)?
- 6.From a rectangle 8 cm long and 10 cm wide, a rectangle 2 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
- 7.From a rectangle 8 cm long and 15 cm wide, a rectangle 3 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
- 8.From a rectangle 10 cm long and 13 cm wide, a rectangle 4 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
- 9.A wall is 8 m long and 4 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
- 10.The perimeter of a rectangle is 40 cm and its length is 11 cm. What is its width (in cm)?
- 11.Each side of a regular pentagon is 15 cm. What is its perimeter (in cm)?
- 12.From a rectangle 20 cm long and 13 cm wide, a rectangle 13 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 25 m long and 10 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
- 14.A rectangular field is 55 m long and 15 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
- 15.Each side of a regular pentagon is 23 cm. What is its perimeter (in cm)?
- 16.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
- 17.A rectangular field is 95 m long and 65 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
- 18.Each side of an equilateral triangle is 12 cm. What is its perimeter (in cm)?
- 19.From a rectangle 20 cm long and 12 cm wide, a rectangle 10 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
- 20.From a rectangle 15 cm long and 9 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)?
- 21.The perimeter of a rectangle is 56 cm and its length is 17 cm. What is its width (in cm)?
- 22.Each side of a regular octagon is 6 cm. What is its perimeter (in cm)?
- 23.A rectangular field is 75 m long and 50 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
- 24.A square has a perimeter of 16 cm. What is its area (in square cm)?
- 25.From a rectangle 16 cm long and 14 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)?
- 26.A square has a perimeter of 56 cm. What is its area (in square cm)?
- 27.Each side of a regular pentagon is 12 cm. What is its perimeter (in cm)?
- 28.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 ₹)?
- 29.A square has a perimeter of 36 cm. What is its area (in square cm)?
- 30.From a rectangle 17 cm long and 15 cm wide, a rectangle 9 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
- 31.A wall is 9 m long and 3 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
- 32.Each side of a regular hexagon is 10 cm. What is its perimeter (in cm)?
- 33.The perimeter of a rectangle is 92 cm and its length is 27 cm. What is its width (in cm)?
- 34.From a rectangle 15 cm long and 7 cm wide, a rectangle 13 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
- 35.A rectangular field is 95 m long and 15 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
- 36.A square has a perimeter of 24 cm. What is its area (in square cm)?
- 37.A wall is 11 m long and 6 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
- 38.Each side of a regular pentagon is 6 cm. What is its perimeter (in cm)?
- 39.Each side of a regular pentagon is 8 cm. What is its perimeter (in cm)?
- 40.A wall is 10 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
Answer key
- 69
- 157
- 2760
- 11
- 400
- 74
- 111
- 118
- 1280
- 9
- 75
- 247
- 630
- 2800
- 115
- 600
- 7360
- 36
- 140
- 117
- 11
- 48
- 6250
- 16
- 204
- 196
- 60
- 1260
- 81
- 237
- 1080
- 60
- 19
- 40
- 2640
- 36
- 1980
- 30
- 40
- 400
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