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 rectangular field is 20 m long and 10 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
- 2.From a rectangle 14 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)?
- 3.A square has a perimeter of 24 cm. What is its area (in square cm)?
- 4.A rectangular field is 40 m long and 15 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
- 5.A wall is 8 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
- 6.From a rectangle 6 cm long and 6 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)?
- 7.Each side of an equilateral triangle is 12 cm. What is its perimeter (in cm)?
- 8.A square has a perimeter of 8 cm. What is its area (in square cm)?
- 9.A wall is 11 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
- 10.The perimeter of a rectangle is 52 cm and its length is 24 cm. What is its width (in cm)?
- 11.A wall is 4 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
- 12.A wall is 5 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
- 13.A rectangular field is 40 m long and 25 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
- 14.A rectangular field is 100 m long and 35 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
- 15.A square has a perimeter of 16 cm. What is its area (in square cm)?
- 16.A rectangular field is 100 m long and 60 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
- 17.From a rectangle 15 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)?
- 18.Each side of a regular pentagon is 21 cm. What is its perimeter (in cm)?
- 19.The perimeter of a rectangle is 66 cm and its length is 29 cm. What is its width (in cm)?
- 20.The perimeter of a rectangle is 68 cm and its length is 29 cm. What is its width (in cm)?
- 21.The perimeter of a rectangle is 88 cm and its length is 23 cm. What is its width (in cm)?
- 22.A rectangular field is 35 m long and 10 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
- 23.A square has a perimeter of 80 cm. What is its area (in square cm)?
- 24.From a rectangle 14 cm long and 7 cm wide, a rectangle 9 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
- 25.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
- 26.Each side of an equilateral triangle is 22 cm. What is its perimeter (in cm)?
- 27.A rectangular field is 80 m long and 65 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
- 28.A rectangular field is 95 m long and 75 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
- 29.A wall is 5 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
- 30.A wall is 6 m long and 6 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
- 31.From a rectangle 17 cm long and 14 cm wide, a rectangle 5 cm by 8 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 20 cm. What is its area (in square cm)?
- 33.From a rectangle 15 cm long and 11 cm wide, a rectangle 11 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
- 34.The perimeter of a rectangle is 66 cm and its length is 18 cm. What is its width (in cm)?
- 35.A wall is 4 m long and 6 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
- 36.A square has a perimeter of 64 cm. What is its area (in square cm)?
- 37.The perimeter of a rectangle is 94 cm and its length is 29 cm. What is its width (in cm)?
- 38.A square has a perimeter of 48 cm. What is its area (in square cm)?
- 39.Each side of a square is 18 cm. What is its perimeter (in cm)?
- 40.The perimeter of a rectangle is 78 cm and its length is 26 cm. What is its width (in cm)?
Answer key
- 900
- 68
- 36
- 1760
- 160
- 35
- 36
- 4
- 550
- 2
- 200
- 875
- 780
- 5400
- 16
- 2560
- 63
- 105
- 4
- 5
- 21
- 1620
- 400
- 53
- 560
- 66
- 1450
- 4420
- 1000
- 900
- 198
- 25
- 154
- 15
- 960
- 256
- 18
- 144
- 72
- 13
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