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 11 cm wide. What is its perimeter? (a) 29 cm (b) 47 cm (c) 58 cm (d) 198 cm
- 2.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 90 sq cm (b) 80 sq cm (c) 36 sq cm (d) 18 sq cm
- 3.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 10 cm (b) 17 cm (c) 20 cm (d) 21 cm
- 4.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
- 5.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 12 cm (b) 150 cm (c) 11 cm (d) 22 cm
- 6.A rectangle is 13 cm long and 5 cm wide. What is its area? (a) 78 sq cm (b) 18 sq cm (c) 65 sq cm (d) 36 sq cm
- 7.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 11 cm (b) 20 cm (c) 10 cm (d) 108 cm
- 8.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 48 sq cm (b) 56 sq cm (c) 14 sq cm (d) 28 sq cm
- 9.A rectangle is 14 cm long and 2 cm wide. What is its area? (a) 32 sq cm (b) 28 sq cm (c) 42 sq cm (d) 16 sq cm
- 10.A rectangle is 12 cm long and 9 cm wide. What is its perimeter? (a) 21 cm (b) 33 cm (c) 42 cm (d) 108 cm
- 11.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 10 cm (b) 20 cm (c) 11 cm (d) 117 cm
- 12.A rectangle is 12 cm long and 8 cm wide. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 96 sq cm (d) 108 sq cm
- 13.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
- 14.A rectangle is 13 cm long and 6 cm wide. What is its perimeter? (a) 19 cm (b) 78 cm (c) 32 cm (d) 38 cm
- 15.A rectangle has an area of 144 sq cm and a length of 16 cm. What is its width? (a) 18 cm (b) 10 cm (c) 128 cm (d) 9 cm
- 16.A rectangle has an area of 150 sq cm and a length of 15 cm. What is its width? (a) 135 cm (b) 20 cm (c) 11 cm (d) 10 cm
- 17.A rectangle has an area of 240 sq cm and a length of 20 cm. What is its width? (a) 24 cm (b) 12 cm (c) 13 cm (d) 220 cm
- 18.A rectangle is 17 cm long and 12 cm wide. What is its area? (a) 29 sq cm (b) 221 sq cm (c) 204 sq cm (d) 58 sq cm
- 19.A rectangle is 17 cm long and 4 cm wide. What is its area? (a) 42 sq cm (b) 85 sq cm (c) 21 sq cm (d) 68 sq cm
- 20.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 24 cm (b) 22 cm (c) 11 cm (d) 19 cm
- 21.A rectangle has an area of 153 sq cm and a length of 17 cm. What is its width? (a) 9 cm (b) 18 cm (c) 136 cm (d) 10 cm
- 22.A rectangle is 17 cm long and 7 cm wide. What is its perimeter? (a) 119 cm (b) 48 cm (c) 41 cm (d) 24 cm
- 23.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 28 sq cm (c) 56 sq cm (d) 225 sq cm
- 24.A rectangle is 17 cm long and 5 cm wide. What is its perimeter? (a) 85 cm (b) 39 cm (c) 22 cm (d) 44 cm
- 25.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 22 cm (b) 11 cm (c) 18 cm (d) 28 cm
- 26.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 8 sq cm (b) 18 sq cm (c) 12 sq cm (d) 16 sq cm
- 27.A rectangle is 15 cm long and 5 cm wide. What is its area? (a) 20 sq cm (b) 75 sq cm (c) 90 sq cm (d) 40 sq cm
- 28.A rectangle is 11 cm long and 5 cm wide. What is its perimeter? (a) 27 cm (b) 16 cm (c) 55 cm (d) 32 cm
- 29.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 130 cm (b) 12 cm (c) 22 cm (d) 11 cm
- 30.A rectangle has an area of 45 sq cm and a length of 15 cm. What is its width? (a) 6 cm (b) 3 cm (c) 30 cm (d) 4 cm
- 31.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 12 cm (b) 16 cm (c) 14 cm (d) 8 cm
- 32.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 100 sq cm (d) 81 sq cm
- 33.A rectangle has an area of 20 sq cm and a length of 10 cm. What is its width? (a) 10 cm (b) 2 cm (c) 4 cm (d) 3 cm
- 34.A rectangle is 14 cm long and 10 cm wide. What is its area? (a) 24 sq cm (b) 140 sq cm (c) 154 sq cm (d) 48 sq cm
- 35.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 18 cm (b) 96 cm (c) 10 cm (d) 9 cm
- 36.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 25 sq cm (c) 20 sq cm (d) 10 sq cm
- 37.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 19 sq cm (b) 90 sq cm (c) 38 sq cm (d) 100 sq cm
- 38.A rectangle is 19 cm long and 5 cm wide. What is its area? (a) 114 sq cm (b) 95 sq cm (c) 24 sq cm (d) 48 sq cm
- 39.A rectangle is 12 cm long and 10 cm wide. What is its area? (a) 132 sq cm (b) 44 sq cm (c) 22 sq cm (d) 120 sq cm
- 40.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 19 cm (b) 24 cm (c) 35 cm (d) 12 cm
Answer key
- 58 cm
- 80 sq cm
- 20 cm
- 121 sq cm
- 11 cm
- 65 sq cm
- 10 cm
- 48 sq cm
- 28 sq cm
- 42 cm
- 10 cm
- 96 sq cm
- 49 sq cm
- 38 cm
- 9 cm
- 10 cm
- 12 cm
- 204 sq cm
- 68 sq cm
- 22 cm
- 9 cm
- 48 cm
- 196 sq cm
- 44 cm
- 22 cm
- 12 sq cm
- 75 sq cm
- 32 cm
- 11 cm
- 3 cm
- 16 cm
- 81 sq cm
- 2 cm
- 140 sq cm
- 9 cm
- 25 sq cm
- 90 sq cm
- 95 sq cm
- 120 sq cm
- 24 cm
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