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 68 cm. What is its area (in square cm)?
- 2.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 ₹)?
- 3.From a rectangle 13 cm long and 13 cm wide, a rectangle 9 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
- 4.From a rectangle 8 cm long and 6 cm wide, a rectangle 2 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
- 5.From a rectangle 10 cm long and 5 cm wide, a rectangle 2 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
- 6.A wall is 5 m long and 3 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
- 7.A wall is 3 m long and 6 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
- 8.A rectangular field is 100 m long and 15 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
- 9.The perimeter of a rectangle is 30 cm and its length is 8 cm. What is its width (in cm)?
- 10.From a rectangle 18 cm long and 9 cm wide, a rectangle 13 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
- 11.The perimeter of a rectangle is 64 cm and its length is 17 cm. What is its width (in cm)?
- 12.Each side of a regular octagon is 20 cm. What is its perimeter (in cm)?
- 13.From a rectangle 8 cm long and 8 cm wide, a rectangle 1 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
- 14.A square has a perimeter of 72 cm. What is its area (in square cm)?
- 15.A rectangular field is 30 m long and 25 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
- 16.A wall is 6 m long and 6 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
- 17.A rectangular field is 80 m long and 70 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
- 18.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
- 19.A rectangular field is 40 m long and 35 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
- 20.Each side of an equilateral triangle is 10 cm. What is its perimeter (in cm)?
- 21.A wall is 8 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
- 22.The perimeter of a rectangle is 34 cm and its length is 9 cm. What is its width (in cm)?
- 23.The perimeter of a rectangle is 40 cm and its length is 12 cm. What is its width (in cm)?
- 24.From a rectangle 17 cm long and 10 cm wide, a rectangle 8 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
- 25.Each side of an equilateral triangle is 6 cm. What is its perimeter (in cm)?
- 26.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 ₹)?
- 27.From a rectangle 12 cm long and 6 cm wide, a rectangle 8 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
- 28.A square has a perimeter of 8 cm. What is its area (in square cm)?
- 29.The perimeter of a rectangle is 18 cm and its length is 6 cm. What is its width (in cm)?
- 30.Each side of a square is 12 cm. What is its perimeter (in cm)?
- 31.A wall is 3 m long and 6 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
- 32.Each side of a square is 4 cm. What is its perimeter (in cm)?
- 33.From a rectangle 17 cm long and 13 cm wide, a rectangle 9 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
- 34.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
- 35.A rectangular field is 50 m long and 40 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
- 36.Each side of a regular octagon is 10 cm. What is its perimeter (in cm)?
- 37.The perimeter of a rectangle is 42 cm and its length is 15 cm. What is its width (in cm)?
- 38.A rectangular field is 65 m long and 60 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
- 39.A wall is 5 m long and 2 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 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
Answer key
- 289
- 1000
- 79
- 44
- 48
- 375
- 180
- 5520
- 7
- 110
- 15
- 160
- 60
- 324
- 1430
- 360
- 3600
- 1440
- 1650
- 30
- 400
- 8
- 8
- 138
- 18
- 7360
- 56
- 4
- 3
- 48
- 900
- 16
- 140
- 1330
- 2160
- 80
- 6
- 5250
- 250
- 360
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