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 160 sq cm and a length of 16 cm. What is its width? (a) 20 cm (b) 144 cm (c) 11 cm (d) 10 cm
- 2.A rectangle is 13 cm long and 4 cm wide. What is its perimeter? (a) 34 cm (b) 30 cm (c) 52 cm (d) 17 cm
- 3.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 26 sq cm (b) 13 sq cm (c) 30 sq cm (d) 40 sq cm
- 4.A rectangle has an area of 12 sq cm and a length of 4 cm. What is its width? (a) 6 cm (b) 8 cm (c) 4 cm (d) 3 cm
- 5.A rectangle is 12 cm long and 9 cm wide. What is its area? (a) 120 sq cm (b) 42 sq cm (c) 21 sq cm (d) 108 sq cm
- 6.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 18 sq cm (b) 9 sq cm (c) 19 sq cm (d) 24 sq cm
- 7.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 81 sq cm (c) 18 sq cm (d) 100 sq cm
- 8.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 121 sq cm (d) 100 sq cm
- 9.A rectangle is 20 cm long and 6 cm wide. What is its area? (a) 26 sq cm (b) 140 sq cm (c) 120 sq cm (d) 52 sq cm
- 10.A rectangle is 11 cm long and 10 cm wide. What is its area? (a) 21 sq cm (b) 110 sq cm (c) 121 sq cm (d) 42 sq cm
- 11.A rectangle is 17 cm long and 12 cm wide. What is its perimeter? (a) 29 cm (b) 58 cm (c) 204 cm (d) 46 cm
- 12.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 26 sq cm (c) 52 sq cm (d) 169 sq cm
- 13.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 225 sq cm (c) 56 sq cm (d) 196 sq cm
- 14.A rectangle is 11 cm long and 5 cm wide. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 66 sq cm (d) 55 sq cm
- 15.A rectangle is 11 cm long and 3 cm wide. What is its area? (a) 28 sq cm (b) 33 sq cm (c) 14 sq cm (d) 44 sq cm
- 16.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 32 sq cm (c) 11 sq cm (d) 22 sq cm
- 17.A rectangle is 10 cm long and 9 cm wide. What is its perimeter? (a) 19 cm (b) 29 cm (c) 90 cm (d) 38 cm
- 18.A rectangle has an area of 152 sq cm and a length of 19 cm. What is its width? (a) 16 cm (b) 9 cm (c) 8 cm (d) 133 cm
- 19.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 48 sq cm (c) 144 sq cm (d) 24 sq cm
- 20.A rectangle is 18 cm long and 5 cm wide. What is its perimeter? (a) 46 cm (b) 23 cm (c) 90 cm (d) 41 cm
- 21.A rectangle has an area of 198 sq cm and a length of 18 cm. What is its width? (a) 22 cm (b) 180 cm (c) 12 cm (d) 11 cm
- 22.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 24 sq cm (d) 36 sq cm
- 23.A rectangle is 13 cm long and 2 cm wide. What is its area? (a) 15 sq cm (b) 26 sq cm (c) 39 sq cm (d) 30 sq cm
- 24.A rectangle is 17 cm long and 3 cm wide. What is its perimeter? (a) 37 cm (b) 20 cm (c) 51 cm (d) 40 cm
- 25.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 19 sq cm (b) 38 sq cm (c) 100 sq cm (d) 90 sq cm
- 26.A rectangle is 11 cm long and 10 cm wide. What is its perimeter? (a) 110 cm (b) 21 cm (c) 42 cm (d) 32 cm
- 27.A rectangle has an area of 26 sq cm and a length of 13 cm. What is its width? (a) 3 cm (b) 13 cm (c) 2 cm (d) 4 cm
- 28.A rectangle has an area of 119 sq cm and a length of 17 cm. What is its width? (a) 7 cm (b) 102 cm (c) 8 cm (d) 14 cm
- 29.A rectangle is 15 cm long and 11 cm wide. What is its perimeter? (a) 26 cm (b) 41 cm (c) 165 cm (d) 52 cm
- 30.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 36 sq cm (d) 27 sq cm
- 31.A rectangle is 17 cm long and 2 cm wide. What is its perimeter? (a) 34 cm (b) 38 cm (c) 19 cm (d) 36 cm
- 32.A rectangle has an area of 40 sq cm and a length of 10 cm. What is its width? (a) 8 cm (b) 30 cm (c) 4 cm (d) 5 cm
- 33.A rectangle has an area of 72 sq cm and a length of 18 cm. What is its width? (a) 4 cm (b) 5 cm (c) 54 cm (d) 8 cm
- 34.A rectangle is 20 cm long and 8 cm wide. What is its area? (a) 28 sq cm (b) 180 sq cm (c) 160 sq cm (d) 56 sq cm
- 35.A rectangle is 15 cm long and 4 cm wide. What is its area? (a) 60 sq cm (b) 75 sq cm (c) 19 sq cm (d) 38 sq cm
- 36.A rectangle is 17 cm long and 6 cm wide. What is its perimeter? (a) 102 cm (b) 23 cm (c) 46 cm (d) 40 cm
- 37.A rectangle has an area of 72 sq cm and a length of 9 cm. What is its width? (a) 9 cm (b) 8 cm (c) 16 cm (d) 63 cm
- 38.A rectangle is 16 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 36 cm (c) 32 cm (d) 34 cm
- 39.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 16 sq cm (b) 70 sq cm (c) 60 sq cm (d) 32 sq cm
- 40.A rectangle has an area of 114 sq cm and a length of 19 cm. What is its width? (a) 6 cm (b) 7 cm (c) 12 cm (d) 95 cm
Answer key
- 10 cm
- 34 cm
- 30 sq cm
- 3 cm
- 108 sq cm
- 18 sq cm
- 81 sq cm
- 100 sq cm
- 120 sq cm
- 110 sq cm
- 58 cm
- 169 sq cm
- 196 sq cm
- 55 sq cm
- 33 sq cm
- 24 sq cm
- 38 cm
- 8 cm
- 144 sq cm
- 46 cm
- 11 cm
- 24 sq cm
- 26 sq cm
- 40 cm
- 90 sq cm
- 42 cm
- 2 cm
- 7 cm
- 52 cm
- 27 sq cm
- 38 cm
- 4 cm
- 4 cm
- 160 sq cm
- 60 sq cm
- 46 cm
- 8 cm
- 36 cm
- 60 sq cm
- 6 cm
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