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 has an area of 198 sq cm and a length of 18 cm. What is its width? (a) 180 cm (b) 22 cm (c) 11 cm (d) 12 cm
- 2.A rectangle is 10 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 28 cm (c) 40 cm (d) 14 cm
- 3.A rectangle is 15 cm long and 2 cm wide. What is its perimeter? (a) 30 cm (b) 34 cm (c) 17 cm (d) 32 cm
- 4.A rectangle has an area of 50 sq cm and a length of 10 cm. What is its width? (a) 40 cm (b) 6 cm (c) 5 cm (d) 10 cm
- 5.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 144 sq cm (c) 22 sq cm (d) 44 sq cm
- 6.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 20 sq cm (c) 36 sq cm (d) 10 sq cm
- 7.A rectangle is 14 cm long and 2 cm wide. What is its area? (a) 32 sq cm (b) 42 sq cm (c) 28 sq cm (d) 16 sq cm
- 8.A rectangle is 12 cm long and 7 cm wide. What is its area? (a) 96 sq cm (b) 19 sq cm (c) 38 sq cm (d) 84 sq cm
- 9.A rectangle is 17 cm long and 3 cm wide. What is its area? (a) 68 sq cm (b) 51 sq cm (c) 20 sq cm (d) 40 sq cm
- 10.A rectangle is 20 cm long and 8 cm wide. What is its perimeter? (a) 160 cm (b) 56 cm (c) 48 cm (d) 28 cm
- 11.A rectangle has an area of 72 sq cm and a length of 9 cm. What is its width? (a) 63 cm (b) 9 cm (c) 16 cm (d) 8 cm
- 12.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 17 sq cm (b) 70 sq cm (c) 80 sq cm (d) 34 sq cm
- 13.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 169 sq cm (c) 196 sq cm (d) 52 sq cm
- 14.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 56 sq cm (c) 196 sq cm (d) 28 sq cm
- 15.A rectangle is 12 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 28 cm (c) 24 cm (d) 26 cm
- 16.A rectangle is 18 cm long and 12 cm wide. What is its area? (a) 216 sq cm (b) 234 sq cm (c) 60 sq cm (d) 30 sq cm
- 17.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 9 sq cm (b) 24 sq cm (c) 18 sq cm (d) 19 sq cm
- 18.A rectangle is 17 cm long and 8 cm wide. What is its perimeter? (a) 42 cm (b) 25 cm (c) 50 cm (d) 136 cm
- 19.A rectangle has an area of 30 sq cm and a length of 6 cm. What is its width? (a) 5 cm (b) 10 cm (c) 6 cm (d) 24 cm
- 20.A rectangle is 18 cm long and 7 cm wide. What is its perimeter? (a) 43 cm (b) 126 cm (c) 50 cm (d) 25 cm
- 21.A rectangle is 10 cm long and 6 cm wide. What is its perimeter? (a) 60 cm (b) 26 cm (c) 32 cm (d) 16 cm
- 22.A rectangle is 15 cm long and 6 cm wide. What is its area? (a) 21 sq cm (b) 90 sq cm (c) 42 sq cm (d) 105 sq cm
- 23.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 16 sq cm (c) 64 sq cm (d) 32 sq cm
- 24.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 13 sq cm (b) 36 sq cm (c) 26 sq cm (d) 45 sq cm
- 25.A rectangle is 16 cm long and 12 cm wide. What is its perimeter? (a) 56 cm (b) 44 cm (c) 192 cm (d) 28 cm
- 26.A rectangle has an area of 32 sq cm and a length of 8 cm. What is its width? (a) 5 cm (b) 24 cm (c) 4 cm (d) 8 cm
- 27.A rectangle is 17 cm long and 5 cm wide. What is its perimeter? (a) 39 cm (b) 44 cm (c) 85 cm (d) 22 cm
- 28.A rectangle is 19 cm long and 4 cm wide. What is its area? (a) 23 sq cm (b) 76 sq cm (c) 46 sq cm (d) 95 sq cm
- 29.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 28 sq cm (b) 24 sq cm (c) 36 sq cm (d) 14 sq cm
- 30.A rectangle is 18 cm long and 5 cm wide. What is its perimeter? (a) 46 cm (b) 23 cm (c) 41 cm (d) 90 cm
- 31.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
- 32.A rectangle has an area of 90 sq cm and a length of 15 cm. What is its width? (a) 75 cm (b) 6 cm (c) 7 cm (d) 12 cm
- 33.A rectangle has an area of 16 sq cm and a length of 8 cm. What is its width? (a) 4 cm (b) 3 cm (c) 8 cm (d) 2 cm
- 34.A rectangle has an area of 34 sq cm and a length of 17 cm. What is its width? (a) 2 cm (b) 17 cm (c) 4 cm (d) 3 cm
- 35.A rectangle has an area of 36 sq cm and a length of 12 cm. What is its width? (a) 24 cm (b) 4 cm (c) 6 cm (d) 3 cm
- 36.A rectangle has an area of 90 sq cm and a length of 10 cm. What is its width? (a) 10 cm (b) 18 cm (c) 9 cm (d) 80 cm
- 37.A rectangle has an area of 120 sq cm and a length of 15 cm. What is its width? (a) 9 cm (b) 8 cm (c) 105 cm (d) 16 cm
- 38.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 24 cm (b) 22 cm (c) 12 cm (d) 20 cm
- 39.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 15 sq cm (b) 60 sq cm (c) 30 sq cm (d) 50 sq cm
- 40.A rectangle is 18 cm long and 9 cm wide. What is its area? (a) 162 sq cm (b) 54 sq cm (c) 180 sq cm (d) 27 sq cm
Answer key
- 11 cm
- 28 cm
- 34 cm
- 5 cm
- 121 sq cm
- 25 sq cm
- 28 sq cm
- 84 sq cm
- 51 sq cm
- 56 cm
- 8 cm
- 70 sq cm
- 169 sq cm
- 196 sq cm
- 28 cm
- 216 sq cm
- 18 sq cm
- 50 cm
- 5 cm
- 50 cm
- 32 cm
- 90 sq cm
- 64 sq cm
- 36 sq cm
- 56 cm
- 4 cm
- 44 cm
- 76 sq cm
- 24 sq cm
- 46 cm
- 36 sq cm
- 6 cm
- 2 cm
- 2 cm
- 3 cm
- 9 cm
- 8 cm
- 24 cm
- 50 sq cm
- 162 sq cm
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