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 18 cm long and 9 cm wide. What is its area? (a) 54 sq cm (b) 162 sq cm (c) 180 sq cm (d) 27 sq cm
- 2.A rectangle is 20 cm long and 8 cm wide. What is its perimeter? (a) 56 cm (b) 48 cm (c) 160 cm (d) 28 cm
- 3.A rectangle is 19 cm long and 7 cm wide. What is its perimeter? (a) 26 cm (b) 133 cm (c) 45 cm (d) 52 cm
- 4.A rectangle has an area of 84 sq cm and a length of 12 cm. What is its width? (a) 7 cm (b) 8 cm (c) 72 cm (d) 14 cm
- 5.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 60 sq cm (c) 256 sq cm (d) 30 sq cm
- 6.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 143 cm (b) 13 cm (c) 24 cm (d) 12 cm
- 7.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 20 sq cm (c) 16 sq cm (d) 10 sq cm
- 8.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 36 sq cm (c) 49 sq cm (d) 24 sq cm
- 9.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 12 cm (b) 13 cm (c) 24 cm (d) 165 cm
- 10.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 22 sq cm (b) 30 sq cm (c) 11 sq cm (d) 36 sq cm
- 11.A rectangle has an area of 84 sq cm and a length of 14 cm. What is its width? (a) 12 cm (b) 7 cm (c) 70 cm (d) 6 cm
- 12.A rectangle has an area of 240 sq cm and a length of 20 cm. What is its width? (a) 220 cm (b) 13 cm (c) 24 cm (d) 12 cm
- 13.A rectangle is 11 cm long and 8 cm wide. What is its area? (a) 38 sq cm (b) 88 sq cm (c) 99 sq cm (d) 19 sq cm
- 14.A rectangle has an area of 18 sq cm and a length of 9 cm. What is its width? (a) 3 cm (b) 9 cm (c) 4 cm (d) 2 cm
- 15.A rectangle has an area of 80 sq cm and a length of 16 cm. What is its width? (a) 5 cm (b) 64 cm (c) 10 cm (d) 6 cm
- 16.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 22 sq cm (b) 35 sq cm (c) 28 sq cm (d) 11 sq cm
- 17.A rectangle has an area of 153 sq cm and a length of 17 cm. What is its width? (a) 9 cm (b) 136 cm (c) 10 cm (d) 18 cm
- 18.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 25 sq cm (d) 36 sq cm
- 19.A rectangle is 17 cm long and 4 cm wide. What is its area? (a) 68 sq cm (b) 42 sq cm (c) 85 sq cm (d) 21 sq cm
- 20.A rectangle is 13 cm long and 6 cm wide. What is its perimeter? (a) 32 cm (b) 78 cm (c) 19 cm (d) 38 cm
- 21.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 169 sq cm (d) 196 sq cm
- 22.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 64 sq cm (d) 49 sq cm
- 23.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 36 sq cm (c) 18 sq cm (d) 81 sq cm
- 24.A rectangle has an area of 126 sq cm and a length of 14 cm. What is its width? (a) 112 cm (b) 9 cm (c) 10 cm (d) 18 cm
- 25.A rectangle is 19 cm long and 11 cm wide. What is its perimeter? (a) 49 cm (b) 30 cm (c) 209 cm (d) 60 cm
- 26.A rectangle is 14 cm long and 6 cm wide. What is its area? (a) 40 sq cm (b) 98 sq cm (c) 84 sq cm (d) 20 sq cm
- 27.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 72 sq cm (b) 16 sq cm (c) 63 sq cm (d) 32 sq cm
- 28.A rectangle is 17 cm long and 12 cm wide. What is its perimeter? (a) 29 cm (b) 58 cm (c) 46 cm (d) 204 cm
- 29.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
- 30.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 18 cm (b) 28 cm (c) 22 cm (d) 11 cm
- 31.A rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 23 cm (b) 30 cm (c) 26 cm (d) 13 cm
- 32.A rectangle has an area of 90 sq cm and a length of 15 cm. What is its width? (a) 12 cm (b) 6 cm (c) 75 cm (d) 7 cm
- 33.A rectangle is 10 cm long and 7 cm wide. What is its perimeter? (a) 27 cm (b) 17 cm (c) 70 cm (d) 34 cm
- 34.A rectangle is 13 cm long and 12 cm wide. What is its perimeter? (a) 25 cm (b) 38 cm (c) 156 cm (d) 50 cm
- 35.A rectangle is 15 cm long and 4 cm wide. What is its perimeter? (a) 38 cm (b) 34 cm (c) 19 cm (d) 60 cm
- 36.A rectangle is 18 cm long and 11 cm wide. What is its perimeter? (a) 198 cm (b) 47 cm (c) 58 cm (d) 29 cm
- 37.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 24 cm (b) 12 cm (c) 20 cm (d) 22 cm
- 38.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 14 sq cm (b) 21 sq cm (c) 9 sq cm (d) 18 sq cm
- 39.A rectangle is 17 cm long and 10 cm wide. What is its area? (a) 27 sq cm (b) 54 sq cm (c) 170 sq cm (d) 187 sq cm
- 40.A rectangle is 16 cm long and 12 cm wide. What is its perimeter? (a) 44 cm (b) 28 cm (c) 56 cm (d) 192 cm
Answer key
- 162 sq cm
- 56 cm
- 52 cm
- 7 cm
- 225 sq cm
- 12 cm
- 16 sq cm
- 36 sq cm
- 12 cm
- 30 sq cm
- 6 cm
- 12 cm
- 88 sq cm
- 2 cm
- 5 cm
- 28 sq cm
- 9 cm
- 25 sq cm
- 68 sq cm
- 38 cm
- 169 sq cm
- 49 sq cm
- 81 sq cm
- 9 cm
- 60 cm
- 84 sq cm
- 63 sq cm
- 58 cm
- 100 sq cm
- 22 cm
- 26 cm
- 6 cm
- 34 cm
- 50 cm
- 38 cm
- 58 cm
- 24 cm
- 14 sq cm
- 170 sq cm
- 56 cm
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