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 8 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 20 cm (c) 10 cm (d) 16 cm
- 2.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 70 sq cm (b) 80 sq cm (c) 34 sq cm (d) 17 sq cm
- 3.A rectangle is 16 cm long and 7 cm wide. What is its perimeter? (a) 39 cm (b) 46 cm (c) 23 cm (d) 112 cm
- 4.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 104 sq cm (b) 117 sq cm (c) 42 sq cm (d) 21 sq cm
- 5.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 11 cm (b) 10 cm (c) 99 cm (d) 20 cm
- 6.A rectangle is 17 cm long and 8 cm wide. What is its area? (a) 153 sq cm (b) 25 sq cm (c) 50 sq cm (d) 136 sq cm
- 7.A rectangle has an area of 119 sq cm and a length of 17 cm. What is its width? (a) 102 cm (b) 14 cm (c) 7 cm (d) 8 cm
- 8.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 81 sq cm (d) 64 sq cm
- 9.A rectangle is 14 cm long and 8 cm wide. What is its perimeter? (a) 36 cm (b) 112 cm (c) 44 cm (d) 22 cm
- 10.A rectangle has an area of 96 sq cm and a length of 16 cm. What is its width? (a) 12 cm (b) 80 cm (c) 7 cm (d) 6 cm
- 11.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 100 sq cm (c) 20 sq cm (d) 40 sq cm
- 12.A rectangle is 15 cm long and 11 cm wide. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 180 sq cm (d) 165 sq cm
- 13.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 225 sq cm (c) 196 sq cm (d) 28 sq cm
- 14.A rectangle is 19 cm long and 11 cm wide. What is its perimeter? (a) 60 cm (b) 49 cm (c) 209 cm (d) 30 cm
- 15.A rectangle has an area of 108 sq cm and a length of 18 cm. What is its width? (a) 6 cm (b) 7 cm (c) 12 cm (d) 90 cm
- 16.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 144 sq cm (d) 169 sq cm
- 17.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 36 sq cm (d) 25 sq cm
- 18.A rectangle is 18 cm long and 8 cm wide. What is its perimeter? (a) 26 cm (b) 44 cm (c) 144 cm (d) 52 cm
- 19.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 52 sq cm (c) 26 sq cm (d) 196 sq cm
- 20.A rectangle has an area of 21 sq cm and a length of 7 cm. What is its width? (a) 6 cm (b) 4 cm (c) 3 cm (d) 14 cm
- 21.A rectangle is 11 cm long and 2 cm wide. What is its perimeter? (a) 13 cm (b) 22 cm (c) 24 cm (d) 26 cm
- 22.A rectangle is 13 cm long and 12 cm wide. What is its area? (a) 156 sq cm (b) 50 sq cm (c) 25 sq cm (d) 169 sq cm
- 23.A rectangle is 15 cm long and 3 cm wide. What is its perimeter? (a) 45 cm (b) 36 cm (c) 18 cm (d) 33 cm
- 24.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 30 sq cm (b) 36 sq cm (c) 11 sq cm (d) 22 sq cm
- 25.A rectangle has an area of 32 sq cm and a length of 16 cm. What is its width? (a) 2 cm (b) 4 cm (c) 3 cm (d) 16 cm
- 26.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 49 sq cm (c) 36 sq cm (d) 12 sq cm
- 27.A rectangle is 17 cm long and 9 cm wide. What is its area? (a) 52 sq cm (b) 170 sq cm (c) 153 sq cm (d) 26 sq cm
- 28.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 27 sq cm (c) 36 sq cm (d) 12 sq cm
- 29.A rectangle is 20 cm long and 11 cm wide. What is its area? (a) 31 sq cm (b) 240 sq cm (c) 220 sq cm (d) 62 sq cm
- 30.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 12 cm (b) 13 cm (c) 24 cm (d) 198 cm
- 31.A rectangle has an area of 68 sq cm and a length of 17 cm. What is its width? (a) 8 cm (b) 5 cm (c) 4 cm (d) 51 cm
- 32.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 22 sq cm (b) 26 sq cm (c) 33 sq cm (d) 13 sq cm
- 33.A rectangle is 12 cm long and 7 cm wide. What is its area? (a) 84 sq cm (b) 96 sq cm (c) 38 sq cm (d) 19 sq cm
- 34.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 56 sq cm (b) 34 sq cm (c) 42 sq cm (d) 17 sq cm
- 35.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 121 sq cm (c) 144 sq cm (d) 44 sq cm
- 36.A rectangle is 18 cm long and 12 cm wide. What is its perimeter? (a) 30 cm (b) 48 cm (c) 216 cm (d) 60 cm
- 37.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 100 sq cm (c) 36 sq cm (d) 81 sq cm
- 38.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 11 cm (b) 22 cm (c) 24 cm (d) 19 cm
- 39.A rectangle has an area of 140 sq cm and a length of 14 cm. What is its width? (a) 10 cm (b) 20 cm (c) 126 cm (d) 11 cm
- 40.A rectangle is 15 cm long and 9 cm wide. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 150 sq cm (d) 135 sq cm
Answer key
- 20 cm
- 70 sq cm
- 46 cm
- 104 sq cm
- 10 cm
- 136 sq cm
- 7 cm
- 64 sq cm
- 44 cm
- 6 cm
- 100 sq cm
- 165 sq cm
- 196 sq cm
- 60 cm
- 6 cm
- 144 sq cm
- 25 sq cm
- 52 cm
- 169 sq cm
- 3 cm
- 26 cm
- 156 sq cm
- 36 cm
- 30 sq cm
- 2 cm
- 36 sq cm
- 153 sq cm
- 27 sq cm
- 220 sq cm
- 12 cm
- 4 cm
- 22 sq cm
- 84 sq cm
- 42 sq cm
- 121 sq cm
- 60 cm
- 81 sq cm
- 22 cm
- 10 cm
- 135 sq cm
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