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 84 sq cm and a length of 14 cm. What is its width? (a) 12 cm (b) 7 cm (c) 6 cm (d) 70 cm
- 2.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 48 sq cm (c) 24 sq cm (d) 144 sq cm
- 3.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 56 sq cm (b) 17 sq cm (c) 42 sq cm (d) 34 sq cm
- 4.A rectangle is 15 cm long and 3 cm wide. What is its perimeter? (a) 18 cm (b) 33 cm (c) 36 cm (d) 45 cm
- 5.A rectangle is 14 cm long and 7 cm wide. What is its perimeter? (a) 21 cm (b) 42 cm (c) 98 cm (d) 35 cm
- 6.A rectangle is 17 cm long and 2 cm wide. What is its perimeter? (a) 38 cm (b) 36 cm (c) 34 cm (d) 19 cm
- 7.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 40 cm (b) 21 cm (c) 13 cm (d) 26 cm
- 8.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 10 cm (b) 16 cm (c) 20 cm (d) 24 cm
- 9.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 22 sq cm (c) 121 sq cm (d) 44 sq cm
- 10.A rectangle is 10 cm long and 9 cm wide. What is its perimeter? (a) 29 cm (b) 19 cm (c) 38 cm (d) 90 cm
- 11.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 21 sq cm (b) 42 sq cm (c) 104 sq cm (d) 117 sq cm
- 12.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 121 sq cm (c) 40 sq cm (d) 20 sq cm
- 13.A rectangle is 19 cm long and 8 cm wide. What is its area? (a) 171 sq cm (b) 54 sq cm (c) 27 sq cm (d) 152 sq cm
- 14.A rectangle is 17 cm long and 4 cm wide. What is its area? (a) 21 sq cm (b) 42 sq cm (c) 68 sq cm (d) 85 sq cm
- 15.A rectangle has an area of 152 sq cm and a length of 19 cm. What is its width? (a) 16 cm (b) 133 cm (c) 9 cm (d) 8 cm
- 16.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 30 sq cm (c) 20 sq cm (d) 10 sq cm
- 17.A rectangle has an area of 24 sq cm and a length of 6 cm. What is its width? (a) 5 cm (b) 18 cm (c) 4 cm (d) 8 cm
- 18.A rectangle is 17 cm long and 4 cm wide. What is its perimeter? (a) 68 cm (b) 42 cm (c) 38 cm (d) 21 cm
- 19.A rectangle has an area of 38 sq cm and a length of 19 cm. What is its width? (a) 4 cm (b) 3 cm (c) 2 cm (d) 19 cm
- 20.A rectangle is 11 cm long and 5 cm wide. What is its perimeter? (a) 27 cm (b) 32 cm (c) 16 cm (d) 55 cm
- 21.A rectangle is 17 cm long and 12 cm wide. What is its area? (a) 204 sq cm (b) 221 sq cm (c) 29 sq cm (d) 58 sq cm
- 22.A rectangle is 17 cm long and 5 cm wide. What is its area? (a) 44 sq cm (b) 85 sq cm (c) 102 sq cm (d) 22 sq cm
- 23.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 49 sq cm (d) 64 sq cm
- 24.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 11 sq cm (b) 28 sq cm (c) 35 sq cm (d) 22 sq cm
- 25.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 56 sq cm (c) 28 sq cm (d) 196 sq cm
- 26.A rectangle has an area of 140 sq cm and a length of 14 cm. What is its width? (a) 126 cm (b) 20 cm (c) 11 cm (d) 10 cm
- 27.A rectangle is 18 cm long and 12 cm wide. What is its area? (a) 216 sq cm (b) 60 sq cm (c) 30 sq cm (d) 234 sq cm
- 28.A rectangle has an area of 66 sq cm and a length of 11 cm. What is its width? (a) 55 cm (b) 12 cm (c) 6 cm (d) 7 cm
- 29.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
- 30.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 96 cm (b) 18 cm (c) 9 cm (d) 10 cm
- 31.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
- 32.A rectangle has an area of 8 sq cm and a length of 4 cm. What is its width? (a) 1 cm (b) 4 cm (c) 2 cm (d) 3 cm
- 33.A rectangle is 12 cm long and 7 cm wide. What is its area? (a) 84 sq cm (b) 38 sq cm (c) 19 sq cm (d) 96 sq cm
- 34.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 10 sq cm (b) 21 sq cm (c) 28 sq cm (d) 20 sq cm
- 35.A rectangle is 12 cm long and 11 cm wide. What is its perimeter? (a) 132 cm (b) 23 cm (c) 46 cm (d) 35 cm
- 36.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 12 sq cm (c) 36 sq cm (d) 24 sq cm
- 37.A rectangle is 20 cm long and 10 cm wide. What is its area? (a) 60 sq cm (b) 200 sq cm (c) 30 sq cm (d) 220 sq cm
- 38.A rectangle is 12 cm long and 5 cm wide. What is its area? (a) 72 sq cm (b) 17 sq cm (c) 60 sq cm (d) 34 sq cm
- 39.A rectangle has an area of 78 sq cm and a length of 13 cm. What is its width? (a) 65 cm (b) 12 cm (c) 6 cm (d) 7 cm
- 40.A rectangle is 14 cm long and 8 cm wide. What is its perimeter? (a) 36 cm (b) 22 cm (c) 44 cm (d) 112 cm
Answer key
- 6 cm
- 144 sq cm
- 42 sq cm
- 36 cm
- 42 cm
- 38 cm
- 26 cm
- 20 cm
- 121 sq cm
- 38 cm
- 104 sq cm
- 100 sq cm
- 152 sq cm
- 68 sq cm
- 8 cm
- 24 sq cm
- 4 cm
- 42 cm
- 2 cm
- 32 cm
- 204 sq cm
- 85 sq cm
- 49 sq cm
- 28 sq cm
- 196 sq cm
- 10 cm
- 216 sq cm
- 6 cm
- 16 sq cm
- 9 cm
- 12 cm
- 2 cm
- 84 sq cm
- 21 sq cm
- 46 cm
- 36 sq cm
- 200 sq cm
- 60 sq cm
- 6 cm
- 44 cm
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