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 13 cm long and 4 cm wide. What is its perimeter? (a) 34 cm (b) 17 cm (c) 52 cm (d) 30 cm
- 2.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 49 sq cm (c) 14 sq cm (d) 64 sq cm
- 3.A rectangle is 19 cm long and 4 cm wide. What is its area? (a) 95 sq cm (b) 46 sq cm (c) 76 sq cm (d) 23 sq cm
- 4.A rectangle has an area of 32 sq cm and a length of 16 cm. What is its width? (a) 3 cm (b) 4 cm (c) 16 cm (d) 2 cm
- 5.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 198 cm (b) 12 cm (c) 24 cm (d) 13 cm
- 6.A rectangle is 13 cm long and 7 cm wide. What is its perimeter? (a) 40 cm (b) 91 cm (c) 33 cm (d) 20 cm
- 7.A rectangle is 10 cm long and 7 cm wide. What is its perimeter? (a) 17 cm (b) 27 cm (c) 34 cm (d) 70 cm
- 8.A rectangle is 19 cm long and 2 cm wide. What is its perimeter? (a) 40 cm (b) 21 cm (c) 38 cm (d) 42 cm
- 9.A rectangle is 12 cm long and 7 cm wide. What is its perimeter? (a) 19 cm (b) 84 cm (c) 38 cm (d) 31 cm
- 10.A rectangle is 18 cm long and 11 cm wide. What is its area? (a) 198 sq cm (b) 29 sq cm (c) 58 sq cm (d) 216 sq cm
- 11.A rectangle has an area of 154 sq cm and a length of 14 cm. What is its width? (a) 12 cm (b) 11 cm (c) 140 cm (d) 22 cm
- 12.A rectangle is 14 cm long and 11 cm wide. What is its area? (a) 25 sq cm (b) 168 sq cm (c) 154 sq cm (d) 50 sq cm
- 13.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 35 sq cm (d) 42 sq cm
- 14.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 225 sq cm (c) 56 sq cm (d) 28 sq cm
- 15.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 12 cm (c) 24 cm (d) 22 cm
- 16.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 36 sq cm (d) 49 sq cm
- 17.A rectangle is 15 cm long and 5 cm wide. What is its perimeter? (a) 20 cm (b) 40 cm (c) 75 cm (d) 35 cm
- 18.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 64 sq cm (c) 16 sq cm (d) 81 sq cm
- 19.A rectangle is 14 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 28 sq cm (d) 42 sq cm
- 20.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 12 cm (b) 27 cm (c) 24 cm (d) 21 cm
- 21.A rectangle is 13 cm long and 2 cm wide. What is its area? (a) 26 sq cm (b) 30 sq cm (c) 39 sq cm (d) 15 sq cm
- 22.A rectangle is 11 cm long and 7 cm wide. What is its area? (a) 88 sq cm (b) 36 sq cm (c) 18 sq cm (d) 77 sq cm
- 23.A rectangle has an area of 72 sq cm and a length of 12 cm. What is its width? (a) 12 cm (b) 7 cm (c) 6 cm (d) 60 cm
- 24.A rectangle has an area of 140 sq cm and a length of 14 cm. What is its width? (a) 20 cm (b) 126 cm (c) 10 cm (d) 11 cm
- 25.A rectangle is 14 cm long and 6 cm wide. What is its perimeter? (a) 20 cm (b) 34 cm (c) 40 cm (d) 84 cm
- 26.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 9 cm (b) 14 cm (c) 18 cm (d) 16 cm
- 27.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 35 sq cm (b) 28 sq cm (c) 11 sq cm (d) 22 sq cm
- 28.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 25 sq cm (c) 20 sq cm (d) 36 sq cm
- 29.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 40 sq cm (c) 32 sq cm (d) 12 sq cm
- 30.A rectangle is 19 cm long and 3 cm wide. What is its perimeter? (a) 41 cm (b) 22 cm (c) 44 cm (d) 57 cm
- 31.A rectangle has an area of 28 sq cm and a length of 14 cm. What is its width? (a) 14 cm (b) 2 cm (c) 3 cm (d) 4 cm
- 32.A rectangle is 15 cm long and 2 cm wide. What is its perimeter? (a) 32 cm (b) 30 cm (c) 17 cm (d) 34 cm
- 33.A rectangle has an area of 55 sq cm and a length of 11 cm. What is its width? (a) 6 cm (b) 44 cm (c) 10 cm (d) 5 cm
- 34.A rectangle has an area of 96 sq cm and a length of 12 cm. What is its width? (a) 9 cm (b) 84 cm (c) 16 cm (d) 8 cm
- 35.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 10 cm (b) 11 cm (c) 20 cm (d) 117 cm
- 36.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 22 sq cm (b) 27 sq cm (c) 18 sq cm (d) 11 sq cm
- 37.A rectangle has an area of 133 sq cm and a length of 19 cm. What is its width? (a) 8 cm (b) 7 cm (c) 14 cm (d) 114 cm
- 38.A rectangle is 19 cm long and 10 cm wide. What is its area? (a) 29 sq cm (b) 209 sq cm (c) 58 sq cm (d) 190 sq cm
- 39.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 49 sq cm (b) 13 sq cm (c) 42 sq cm (d) 26 sq cm
- 40.A rectangle has an area of 16 sq cm and a length of 8 cm. What is its width? (a) 4 cm (b) 8 cm (c) 3 cm (d) 2 cm
Answer key
- 34 cm
- 49 sq cm
- 76 sq cm
- 2 cm
- 12 cm
- 40 cm
- 34 cm
- 42 cm
- 38 cm
- 198 sq cm
- 11 cm
- 154 sq cm
- 35 sq cm
- 196 sq cm
- 24 cm
- 36 sq cm
- 40 cm
- 64 sq cm
- 28 sq cm
- 24 cm
- 26 sq cm
- 77 sq cm
- 6 cm
- 10 cm
- 40 cm
- 18 cm
- 28 sq cm
- 25 sq cm
- 32 sq cm
- 44 cm
- 2 cm
- 34 cm
- 5 cm
- 8 cm
- 10 cm
- 18 sq cm
- 7 cm
- 190 sq cm
- 42 sq cm
- 2 cm
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