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 12 cm wide. What is its perimeter? (a) 50 cm (b) 25 cm (c) 38 cm (d) 156 cm
- 2.A rectangle is 17 cm long and 8 cm wide. What is its perimeter? (a) 50 cm (b) 25 cm (c) 136 cm (d) 42 cm
- 3.A rectangle has an area of 112 sq cm and a length of 14 cm. What is its width? (a) 8 cm (b) 16 cm (c) 9 cm (d) 98 cm
- 4.A rectangle has an area of 120 sq cm and a length of 15 cm. What is its width? (a) 16 cm (b) 9 cm (c) 8 cm (d) 105 cm
- 5.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 36 sq cm (c) 12 sq cm (d) 24 sq cm
- 6.A rectangle has an area of 72 sq cm and a length of 9 cm. What is its width? (a) 16 cm (b) 9 cm (c) 8 cm (d) 63 cm
- 7.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 30 sq cm (b) 40 sq cm (c) 13 sq cm (d) 26 sq cm
- 8.A rectangle has an area of 38 sq cm and a length of 19 cm. What is its width? (a) 2 cm (b) 4 cm (c) 19 cm (d) 3 cm
- 9.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 12 cm (b) 24 cm (c) 13 cm (d) 154 cm
- 10.A rectangle has an area of 90 sq cm and a length of 10 cm. What is its width? (a) 10 cm (b) 18 cm (c) 80 cm (d) 9 cm
- 11.A rectangle is 14 cm long and 4 cm wide. What is its area? (a) 56 sq cm (b) 36 sq cm (c) 70 sq cm (d) 18 sq cm
- 12.A rectangle is 20 cm long and 2 cm wide. What is its perimeter? (a) 40 cm (b) 44 cm (c) 22 cm (d) 42 cm
- 13.A rectangle is 12 cm long and 9 cm wide. What is its perimeter? (a) 33 cm (b) 21 cm (c) 42 cm (d) 108 cm
- 14.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 144 sq cm (c) 121 sq cm (d) 44 sq cm
- 15.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 24 sq cm (b) 35 sq cm (c) 12 sq cm (d) 42 sq cm
- 16.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 30 sq cm (b) 15 sq cm (c) 64 sq cm (d) 56 sq cm
- 17.A rectangle is 15 cm long and 5 cm wide. What is its area? (a) 75 sq cm (b) 90 sq cm (c) 40 sq cm (d) 20 sq cm
- 18.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 11 sq cm (b) 22 sq cm (c) 30 sq cm (d) 36 sq cm
- 19.A rectangle is 17 cm long and 3 cm wide. What is its area? (a) 68 sq cm (b) 51 sq cm (c) 40 sq cm (d) 20 sq cm
- 20.A rectangle is 15 cm long and 9 cm wide. What is its area? (a) 135 sq cm (b) 150 sq cm (c) 24 sq cm (d) 48 sq cm
- 21.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 21 sq cm (c) 9 sq cm (d) 14 sq cm
- 22.A rectangle has an area of 100 sq cm and a length of 20 cm. What is its width? (a) 10 cm (b) 80 cm (c) 6 cm (d) 5 cm
- 23.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 35 cm (b) 19 cm (c) 24 cm (d) 12 cm
- 24.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 11 cm (b) 22 cm (c) 18 cm (d) 28 cm
- 25.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 49 sq cm (d) 64 sq cm
- 26.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 10 cm (b) 18 cm (c) 20 cm (d) 16 cm
- 27.A rectangle is 20 cm long and 8 cm wide. What is its area? (a) 160 sq cm (b) 56 sq cm (c) 28 sq cm (d) 180 sq cm
- 28.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 30 cm (b) 17 cm (c) 11 cm (d) 22 cm
- 29.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 26 sq cm (c) 52 sq cm (d) 169 sq cm
- 30.A rectangle is 20 cm long and 6 cm wide. What is its area? (a) 26 sq cm (b) 120 sq cm (c) 52 sq cm (d) 140 sq cm
- 31.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 54 cm (b) 30 cm (c) 15 cm (d) 24 cm
- 32.A rectangle is 14 cm long and 4 cm wide. What is its perimeter? (a) 56 cm (b) 18 cm (c) 36 cm (d) 32 cm
- 33.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 32 sq cm (c) 16 sq cm (d) 64 sq cm
- 34.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 20 sq cm (c) 36 sq cm (d) 10 sq cm
- 35.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 196 sq cm (d) 225 sq cm
- 36.A rectangle is 18 cm long and 11 cm wide. What is its area? (a) 216 sq cm (b) 198 sq cm (c) 58 sq cm (d) 29 sq cm
- 37.A rectangle has an area of 170 sq cm and a length of 17 cm. What is its width? (a) 11 cm (b) 153 cm (c) 10 cm (d) 20 cm
- 38.A rectangle is 18 cm long and 5 cm wide. What is its perimeter? (a) 41 cm (b) 90 cm (c) 46 cm (d) 23 cm
- 39.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 11 sq cm (b) 35 sq cm (c) 22 sq cm (d) 28 sq cm
- 40.A rectangle is 12 cm long and 9 cm wide. What is its area? (a) 108 sq cm (b) 21 sq cm (c) 120 sq cm (d) 42 sq cm
Answer key
- 50 cm
- 50 cm
- 8 cm
- 8 cm
- 36 sq cm
- 8 cm
- 30 sq cm
- 2 cm
- 12 cm
- 9 cm
- 56 sq cm
- 44 cm
- 42 cm
- 121 sq cm
- 35 sq cm
- 56 sq cm
- 75 sq cm
- 30 sq cm
- 51 sq cm
- 135 sq cm
- 14 sq cm
- 5 cm
- 24 cm
- 22 cm
- 49 sq cm
- 20 cm
- 160 sq cm
- 22 cm
- 169 sq cm
- 120 sq cm
- 30 cm
- 36 cm
- 64 sq cm
- 25 sq cm
- 196 sq cm
- 198 sq cm
- 10 cm
- 46 cm
- 28 sq cm
- 108 sq cm
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