Perimeter and Area Worksheet for Maths Olympiad
How to solve it (Round or inside?): Rectangle: perimeter = 2 × (length + width); area = length × width. Square: perimeter = 4 × side; area = side × side. From the perimeter, side = perimeter ÷ 4. Missing side: width = area ÷ length.
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- 1.A rectangle is 11 cm long and 10 cm wide. What is its area? (a) 110 sq cm (b) 42 sq cm (c) 121 sq cm (d) 21 sq cm
- 2.A rectangle has an area of 126 sq cm and a length of 14 cm. What is its width? (a) 18 cm (b) 10 cm (c) 112 cm (d) 9 cm
- 3.A rectangle is 18 cm long and 9 cm wide. What is its area? (a) 27 sq cm (b) 54 sq cm (c) 180 sq cm (d) 162 sq cm
- 4.A rectangle is 11 cm long and 3 cm wide. What is its area? (a) 14 sq cm (b) 44 sq cm (c) 33 sq cm (d) 28 sq cm
- 5.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 11 cm (c) 18 cm (d) 22 cm
- 6.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 100 sq cm (c) 20 sq cm (d) 40 sq cm
- 7.A rectangle is 12 cm long and 8 cm wide. What is its area? (a) 108 sq cm (b) 96 sq cm (c) 40 sq cm (d) 20 sq cm
- 8.A rectangle is 12 cm long and 7 cm wide. What is its area? (a) 38 sq cm (b) 96 sq cm (c) 19 sq cm (d) 84 sq cm
- 9.A rectangle has an area of 120 sq cm and a length of 20 cm. What is its width? (a) 6 cm (b) 100 cm (c) 12 cm (d) 7 cm
- 10.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 144 sq cm (c) 121 sq cm (d) 44 sq cm
- 11.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 169 sq cm (c) 196 sq cm (d) 26 sq cm
- 12.A rectangle has an area of 104 sq cm and a length of 13 cm. What is its width? (a) 9 cm (b) 91 cm (c) 8 cm (d) 16 cm
- 13.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 64 sq cm (d) 49 sq cm
- 14.A rectangle is 20 cm long and 11 cm wide. What is its perimeter? (a) 220 cm (b) 51 cm (c) 31 cm (d) 62 cm
- 15.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 9 sq cm (b) 24 sq cm (c) 19 sq cm (d) 18 sq cm
- 16.A rectangle is 20 cm long and 7 cm wide. What is its area? (a) 54 sq cm (b) 160 sq cm (c) 27 sq cm (d) 140 sq cm
- 17.A rectangle is 15 cm long and 7 cm wide. What is its perimeter? (a) 44 cm (b) 22 cm (c) 105 cm (d) 37 cm
- 18.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 30 sq cm (b) 24 sq cm (c) 10 sq cm (d) 20 sq cm
- 19.A rectangle is 20 cm long and 8 cm wide. What is its area? (a) 56 sq cm (b) 180 sq cm (c) 28 sq cm (d) 160 sq cm
- 20.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 11 sq cm (b) 35 sq cm (c) 22 sq cm (d) 28 sq cm
- 21.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 23 cm (b) 45 cm (c) 28 cm (d) 14 cm
- 22.A rectangle has an area of 85 sq cm and a length of 17 cm. What is its width? (a) 5 cm (b) 10 cm (c) 6 cm (d) 68 cm
- 23.A rectangle is 15 cm long and 11 cm wide. What is its area? (a) 180 sq cm (b) 52 sq cm (c) 165 sq cm (d) 26 sq cm
- 24.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 256 sq cm (c) 60 sq cm (d) 30 sq cm
- 25.A rectangle is 15 cm long and 7 cm wide. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 105 sq cm (d) 120 sq cm
- 26.A rectangle is 18 cm long and 5 cm wide. What is its perimeter? (a) 46 cm (b) 90 cm (c) 41 cm (d) 23 cm
- 27.A rectangle is 18 cm long and 6 cm wide. What is its area? (a) 108 sq cm (b) 126 sq cm (c) 48 sq cm (d) 24 sq cm
- 28.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 28 sq cm (b) 36 sq cm (c) 14 sq cm (d) 24 sq cm
- 29.A rectangle has an area of 12 sq cm and a length of 6 cm. What is its width? (a) 6 cm (b) 3 cm (c) 2 cm (d) 4 cm
- 30.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 40 sq cm (b) 32 sq cm (c) 12 sq cm (d) 24 sq cm
- 31.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its width? (a) 3 cm (b) 6 cm (c) 12 cm (d) 4 cm
- 32.A rectangle is 14 cm long and 3 cm wide. What is its perimeter? (a) 17 cm (b) 31 cm (c) 34 cm (d) 42 cm
- 33.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 20 sq cm (c) 10 sq cm (d) 16 sq cm
- 34.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 196 sq cm (c) 28 sq cm (d) 56 sq cm
- 35.A rectangle is 15 cm long and 10 cm wide. What is its area? (a) 25 sq cm (b) 50 sq cm (c) 165 sq cm (d) 150 sq cm
- 36.A rectangle is 20 cm long and 6 cm wide. What is its area? (a) 120 sq cm (b) 52 sq cm (c) 140 sq cm (d) 26 sq cm
- 37.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 12 sq cm (c) 24 sq cm (d) 36 sq cm
- 38.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 30 sq cm (b) 64 sq cm (c) 56 sq cm (d) 15 sq cm
- 39.A rectangle is 12 cm long and 8 cm wide. What is its perimeter? (a) 32 cm (b) 20 cm (c) 96 cm (d) 40 cm
- 40.A rectangle is 12 cm long and 5 cm wide. What is its area? (a) 34 sq cm (b) 17 sq cm (c) 72 sq cm (d) 60 sq cm
Answer key
- 110 sq cm
- 9 cm
- 162 sq cm
- 33 sq cm
- 22 cm
- 100 sq cm
- 96 sq cm
- 84 sq cm
- 6 cm
- 121 sq cm
- 169 sq cm
- 8 cm
- 49 sq cm
- 62 cm
- 18 sq cm
- 140 sq cm
- 44 cm
- 24 sq cm
- 160 sq cm
- 28 sq cm
- 28 cm
- 5 cm
- 165 sq cm
- 225 sq cm
- 105 sq cm
- 46 cm
- 108 sq cm
- 24 sq cm
- 2 cm
- 32 sq cm
- 3 cm
- 34 cm
- 16 sq cm
- 196 sq cm
- 150 sq cm
- 120 sq cm
- 36 sq cm
- 56 sq cm
- 40 cm
- 60 sq cm
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