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 16 cm long and 2 cm wide. What is its perimeter? (a) 34 cm (b) 36 cm (c) 32 cm (d) 18 cm
- 2.A rectangle is 16 cm long and 7 cm wide. What is its perimeter? (a) 23 cm (b) 46 cm (c) 39 cm (d) 112 cm
- 3.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 8 sq cm (c) 18 sq cm (d) 12 sq cm
- 4.A rectangle is 11 cm long and 5 cm wide. What is its area? (a) 66 sq cm (b) 55 sq cm (c) 32 sq cm (d) 16 sq cm
- 5.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 88 cm (b) 18 cm (c) 9 cm (d) 10 cm
- 6.A rectangle is 11 cm long and 7 cm wide. What is its area? (a) 77 sq cm (b) 18 sq cm (c) 36 sq cm (d) 88 sq cm
- 7.A rectangle is 12 cm long and 10 cm wide. What is its area? (a) 120 sq cm (b) 132 sq cm (c) 22 sq cm (d) 44 sq cm
- 8.A rectangle is 11 cm long and 10 cm wide. What is its perimeter? (a) 110 cm (b) 32 cm (c) 21 cm (d) 42 cm
- 9.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 24 cm (b) 12 cm (c) 13 cm (d) 198 cm
- 10.A rectangle is 20 cm long and 7 cm wide. What is its area? (a) 54 sq cm (b) 140 sq cm (c) 27 sq cm (d) 160 sq cm
- 11.A rectangle has an area of 18 sq cm and a length of 9 cm. What is its width? (a) 9 cm (b) 2 cm (c) 3 cm (d) 4 cm
- 12.A rectangle is 15 cm long and 2 cm wide. What is its area? (a) 45 sq cm (b) 17 sq cm (c) 30 sq cm (d) 34 sq cm
- 13.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 70 sq cm (b) 16 sq cm (c) 60 sq cm (d) 32 sq cm
- 14.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 49 sq cm (c) 64 sq cm (d) 28 sq cm
- 15.A rectangle has an area of 24 sq cm and a length of 6 cm. What is its width? (a) 4 cm (b) 5 cm (c) 18 cm (d) 8 cm
- 16.A rectangle has an area of 68 sq cm and a length of 17 cm. What is its width? (a) 5 cm (b) 8 cm (c) 51 cm (d) 4 cm
- 17.A rectangle is 16 cm long and 6 cm wide. What is its perimeter? (a) 22 cm (b) 38 cm (c) 96 cm (d) 44 cm
- 18.A rectangle is 11 cm long and 3 cm wide. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 33 sq cm (d) 44 sq cm
- 19.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 25 sq cm (d) 36 sq cm
- 20.A rectangle has an area of 98 sq cm and a length of 14 cm. What is its width? (a) 84 cm (b) 8 cm (c) 14 cm (d) 7 cm
- 21.A rectangle is 10 cm long and 6 cm wide. What is its perimeter? (a) 26 cm (b) 16 cm (c) 32 cm (d) 60 cm
- 22.A rectangle is 15 cm long and 3 cm wide. What is its perimeter? (a) 33 cm (b) 45 cm (c) 18 cm (d) 36 cm
- 23.A rectangle is 12 cm long and 5 cm wide. What is its perimeter? (a) 29 cm (b) 17 cm (c) 60 cm (d) 34 cm
- 24.A rectangle has an area of 32 sq cm and a length of 8 cm. What is its width? (a) 24 cm (b) 5 cm (c) 8 cm (d) 4 cm
- 25.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 121 sq cm (c) 100 sq cm (d) 20 sq cm
- 26.A rectangle has an area of 26 sq cm and a length of 13 cm. What is its width? (a) 13 cm (b) 3 cm (c) 4 cm (d) 2 cm
- 27.A rectangle is 16 cm long and 10 cm wide. What is its area? (a) 26 sq cm (b) 176 sq cm (c) 52 sq cm (d) 160 sq cm
- 28.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 81 sq cm (c) 16 sq cm (d) 32 sq cm
- 29.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 26 sq cm (b) 13 sq cm (c) 33 sq cm (d) 22 sq cm
- 30.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 169 sq cm (c) 24 sq cm (d) 48 sq cm
- 31.A rectangle is 13 cm long and 10 cm wide. What is its area? (a) 130 sq cm (b) 46 sq cm (c) 23 sq cm (d) 143 sq cm
- 32.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 49 sq cm (c) 12 sq cm (d) 36 sq cm
- 33.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 22 cm (b) 13 cm (c) 36 cm (d) 26 cm
- 34.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 44 sq cm (c) 22 sq cm (d) 144 sq cm
- 35.A rectangle is 19 cm long and 3 cm wide. What is its perimeter? (a) 44 cm (b) 41 cm (c) 57 cm (d) 22 cm
- 36.A rectangle has an area of 150 sq cm and a length of 15 cm. What is its width? (a) 20 cm (b) 10 cm (c) 135 cm (d) 11 cm
- 37.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 13 sq cm (b) 26 sq cm (c) 30 sq cm (d) 40 sq cm
- 38.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 30 sq cm (b) 36 sq cm (c) 22 sq cm (d) 11 sq cm
- 39.A rectangle has an area of 170 sq cm and a length of 17 cm. What is its width? (a) 11 cm (b) 20 cm (c) 153 cm (d) 10 cm
- 40.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 150 cm (b) 12 cm (c) 11 cm (d) 22 cm
Answer key
- 36 cm
- 46 cm
- 12 sq cm
- 55 sq cm
- 9 cm
- 77 sq cm
- 120 sq cm
- 42 cm
- 12 cm
- 140 sq cm
- 2 cm
- 30 sq cm
- 60 sq cm
- 49 sq cm
- 4 cm
- 4 cm
- 44 cm
- 33 sq cm
- 25 sq cm
- 7 cm
- 32 cm
- 36 cm
- 34 cm
- 4 cm
- 100 sq cm
- 2 cm
- 160 sq cm
- 64 sq cm
- 22 sq cm
- 144 sq cm
- 130 sq cm
- 36 sq cm
- 26 cm
- 121 sq cm
- 44 cm
- 10 cm
- 30 sq cm
- 30 sq cm
- 10 cm
- 11 cm
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