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 30 sq cm and a length of 6 cm. What is its width? (a) 10 cm (b) 6 cm (c) 5 cm (d) 24 cm
- 2.A rectangle is 14 cm long and 11 cm wide. What is its area? (a) 168 sq cm (b) 154 sq cm (c) 50 sq cm (d) 25 sq cm
- 3.A rectangle has an area of 176 sq cm and a length of 16 cm. What is its width? (a) 22 cm (b) 11 cm (c) 160 cm (d) 12 cm
- 4.A rectangle is 20 cm long and 10 cm wide. What is its perimeter? (a) 50 cm (b) 60 cm (c) 200 cm (d) 30 cm
- 5.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 24 cm (c) 12 cm (d) 22 cm
- 6.A rectangle has an area of 48 sq cm and a length of 8 cm. What is its width? (a) 12 cm (b) 6 cm (c) 40 cm (d) 7 cm
- 7.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 28 sq cm (d) 21 sq cm
- 8.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 10 cm (c) 16 cm (d) 20 cm
- 9.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
- 10.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 14 cm (b) 45 cm (c) 23 cm (d) 28 cm
- 11.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 9 cm (c) 16 cm (d) 14 cm
- 12.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 34 sq cm (b) 17 sq cm (c) 70 sq cm (d) 80 sq cm
- 13.A rectangle is 14 cm long and 6 cm wide. What is its area? (a) 98 sq cm (b) 20 sq cm (c) 84 sq cm (d) 40 sq cm
- 14.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 64 sq cm (c) 14 sq cm (d) 28 sq cm
- 15.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 24 sq cm (c) 12 sq cm (d) 36 sq cm
- 16.A rectangle is 12 cm long and 10 cm wide. What is its perimeter? (a) 22 cm (b) 120 cm (c) 34 cm (d) 44 cm
- 17.A rectangle is 18 cm long and 11 cm wide. What is its perimeter? (a) 47 cm (b) 58 cm (c) 198 cm (d) 29 cm
- 18.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 63 cm (b) 16 cm (c) 32 cm (d) 25 cm
- 19.A rectangle has an area of 96 sq cm and a length of 12 cm. What is its width? (a) 84 cm (b) 9 cm (c) 16 cm (d) 8 cm
- 20.A rectangle has an area of 126 sq cm and a length of 18 cm. What is its width? (a) 14 cm (b) 8 cm (c) 108 cm (d) 7 cm
- 21.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 10 cm (b) 117 cm (c) 20 cm (d) 11 cm
- 22.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 22 cm (b) 18 cm (c) 11 cm (d) 28 cm
- 23.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 24 cm (b) 187 cm (c) 12 cm (d) 13 cm
- 24.A rectangle is 11 cm long and 5 cm wide. What is its perimeter? (a) 16 cm (b) 55 cm (c) 32 cm (d) 27 cm
- 25.A rectangle is 18 cm long and 7 cm wide. What is its area? (a) 50 sq cm (b) 25 sq cm (c) 144 sq cm (d) 126 sq cm
- 26.A rectangle has an area of 85 sq cm and a length of 17 cm. What is its width? (a) 5 cm (b) 68 cm (c) 6 cm (d) 10 cm
- 27.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 48 sq cm (c) 144 sq cm (d) 169 sq cm
- 28.A rectangle is 18 cm long and 2 cm wide. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 36 sq cm (d) 54 sq cm
- 29.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
- 30.A rectangle is 17 cm long and 11 cm wide. What is its area? (a) 28 sq cm (b) 204 sq cm (c) 187 sq cm (d) 56 sq cm
- 31.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 26 sq cm (b) 13 sq cm (c) 30 sq cm (d) 40 sq cm
- 32.A rectangle is 10 cm long and 6 cm wide. What is its perimeter? (a) 60 cm (b) 26 cm (c) 16 cm (d) 32 cm
- 33.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 10 sq cm (c) 20 sq cm (d) 36 sq cm
- 34.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
- 35.A rectangle has an area of 200 sq cm and a length of 20 cm. What is its width? (a) 11 cm (b) 180 cm (c) 10 cm (d) 20 cm
- 36.A rectangle is 12 cm long and 3 cm wide. What is its perimeter? (a) 27 cm (b) 15 cm (c) 30 cm (d) 36 cm
- 37.A rectangle has an area of 24 sq cm and a length of 12 cm. What is its width? (a) 4 cm (b) 12 cm (c) 3 cm (d) 2 cm
- 38.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 80 sq cm (b) 90 sq cm (c) 18 sq cm (d) 36 sq cm
- 39.A rectangle has an area of 77 sq cm and a length of 11 cm. What is its width? (a) 8 cm (b) 66 cm (c) 7 cm (d) 14 cm
- 40.A rectangle is 15 cm long and 7 cm wide. What is its area? (a) 120 sq cm (b) 22 sq cm (c) 105 sq cm (d) 44 sq cm
Answer key
- 5 cm
- 154 sq cm
- 11 cm
- 60 cm
- 24 cm
- 6 cm
- 21 sq cm
- 20 cm
- 22 cm
- 28 cm
- 18 cm
- 70 sq cm
- 84 sq cm
- 49 sq cm
- 36 sq cm
- 44 cm
- 58 cm
- 32 cm
- 8 cm
- 7 cm
- 10 cm
- 22 cm
- 12 cm
- 32 cm
- 126 sq cm
- 5 cm
- 144 sq cm
- 36 sq cm
- 121 sq cm
- 187 sq cm
- 30 sq cm
- 32 cm
- 25 sq cm
- 36 cm
- 10 cm
- 30 cm
- 2 cm
- 80 sq cm
- 7 cm
- 105 sq cm
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