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 7 cm wide. What is its area? (a) 50 sq cm (b) 144 sq cm (c) 126 sq cm (d) 25 sq cm
- 2.A rectangle has an area of 56 sq cm and a length of 8 cm. What is its width? (a) 14 cm (b) 8 cm (c) 7 cm (d) 48 cm
- 3.A rectangle is 12 cm long and 9 cm wide. What is its perimeter? (a) 42 cm (b) 33 cm (c) 108 cm (d) 21 cm
- 4.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 20 cm (b) 26 cm (c) 13 cm (d) 42 cm
- 5.A rectangle has an area of 96 sq cm and a length of 12 cm. What is its width? (a) 9 cm (b) 8 cm (c) 84 cm (d) 16 cm
- 6.A rectangle has an area of 60 sq cm and a length of 15 cm. What is its width? (a) 8 cm (b) 5 cm (c) 45 cm (d) 4 cm
- 7.A rectangle is 17 cm long and 11 cm wide. What is its area? (a) 187 sq cm (b) 204 sq cm (c) 56 sq cm (d) 28 sq cm
- 8.A rectangle is 11 cm long and 3 cm wide. What is its area? (a) 44 sq cm (b) 28 sq cm (c) 14 sq cm (d) 33 sq cm
- 9.A rectangle has an area of 150 sq cm and a length of 15 cm. What is its width? (a) 10 cm (b) 11 cm (c) 20 cm (d) 135 cm
- 10.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 64 sq cm (c) 16 sq cm (d) 32 sq cm
- 11.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 12 sq cm (b) 27 sq cm (c) 24 sq cm (d) 36 sq cm
- 12.A rectangle has an area of 30 sq cm and a length of 10 cm. What is its width? (a) 3 cm (b) 20 cm (c) 6 cm (d) 4 cm
- 13.A rectangle is 12 cm long and 7 cm wide. What is its area? (a) 84 sq cm (b) 38 sq cm (c) 96 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) 2 cm (d) 4 cm
- 15.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 90 sq cm (b) 19 sq cm (c) 38 sq cm (d) 100 sq cm
- 16.A rectangle is 20 cm long and 5 cm wide. What is its perimeter? (a) 45 cm (b) 100 cm (c) 50 cm (d) 25 cm
- 17.A rectangle is 12 cm long and 8 cm wide. What is its perimeter? (a) 20 cm (b) 96 cm (c) 40 cm (d) 32 cm
- 18.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 225 sq cm (c) 28 sq cm (d) 196 sq cm
- 19.A rectangle is 17 cm long and 7 cm wide. What is its area? (a) 24 sq cm (b) 119 sq cm (c) 48 sq cm (d) 136 sq cm
- 20.A rectangle is 17 cm long and 3 cm wide. What is its area? (a) 20 sq cm (b) 51 sq cm (c) 40 sq cm (d) 68 sq cm
- 21.A rectangle has an area of 90 sq cm and a length of 18 cm. What is its width? (a) 72 cm (b) 5 cm (c) 6 cm (d) 10 cm
- 22.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 17 cm (b) 10 cm (c) 20 cm (d) 21 cm
- 23.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 16 cm (b) 20 cm (c) 10 cm (d) 24 cm
- 24.A rectangle has an area of 27 sq cm and a length of 9 cm. What is its width? (a) 4 cm (b) 18 cm (c) 3 cm (d) 6 cm
- 25.A rectangle has an area of 198 sq cm and a length of 18 cm. What is its width? (a) 11 cm (b) 22 cm (c) 180 cm (d) 12 cm
- 26.A rectangle has an area of 119 sq cm and a length of 17 cm. What is its width? (a) 14 cm (b) 8 cm (c) 102 cm (d) 7 cm
- 27.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 11 cm (b) 22 cm (c) 12 cm (d) 150 cm
- 28.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 24 sq cm (c) 49 sq cm (d) 12 sq cm
- 29.A rectangle is 19 cm long and 2 cm wide. What is its perimeter? (a) 21 cm (b) 42 cm (c) 38 cm (d) 40 cm
- 30.A rectangle is 17 cm long and 4 cm wide. What is its area? (a) 85 sq cm (b) 21 sq cm (c) 68 sq cm (d) 42 sq cm
- 31.A rectangle has an area of 36 sq cm and a length of 18 cm. What is its width? (a) 2 cm (b) 18 cm (c) 4 cm (d) 3 cm
- 32.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
- 33.A rectangle has an area of 54 sq cm and a length of 18 cm. What is its width? (a) 4 cm (b) 3 cm (c) 6 cm (d) 36 cm
- 34.A rectangle is 14 cm long and 7 cm wide. What is its area? (a) 42 sq cm (b) 112 sq cm (c) 21 sq cm (d) 98 sq cm
- 35.A rectangle is 15 cm long and 9 cm wide. What is its perimeter? (a) 24 cm (b) 39 cm (c) 48 cm (d) 135 cm
- 36.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 8 cm (c) 16 cm (d) 12 cm
- 37.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 10 sq cm (c) 20 sq cm (d) 24 sq cm
- 38.A rectangle is 17 cm long and 9 cm wide. What is its area? (a) 26 sq cm (b) 52 sq cm (c) 153 sq cm (d) 170 sq cm
- 39.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 22 cm (b) 19 cm (c) 24 cm (d) 11 cm
- 40.A rectangle is 18 cm long and 6 cm wide. What is its area? (a) 24 sq cm (b) 48 sq cm (c) 126 sq cm (d) 108 sq cm
Answer key
- 126 sq cm
- 7 cm
- 42 cm
- 26 cm
- 8 cm
- 4 cm
- 187 sq cm
- 33 sq cm
- 10 cm
- 64 sq cm
- 27 sq cm
- 3 cm
- 84 sq cm
- 2 cm
- 90 sq cm
- 50 cm
- 40 cm
- 196 sq cm
- 119 sq cm
- 51 sq cm
- 5 cm
- 20 cm
- 20 cm
- 3 cm
- 11 cm
- 7 cm
- 11 cm
- 36 sq cm
- 42 cm
- 68 sq cm
- 2 cm
- 49 sq cm
- 3 cm
- 98 sq cm
- 48 cm
- 16 cm
- 16 sq cm
- 153 sq cm
- 22 cm
- 108 sq cm
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