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 12 cm wide. What is its area? (a) 30 sq cm (b) 234 sq cm (c) 216 sq cm (d) 60 sq cm
- 2.A rectangle is 18 cm long and 4 cm wide. What is its area? (a) 90 sq cm (b) 72 sq cm (c) 44 sq cm (d) 22 sq cm
- 3.A rectangle is 15 cm long and 11 cm wide. What is its perimeter? (a) 41 cm (b) 52 cm (c) 165 cm (d) 26 cm
- 4.A rectangle has an area of 34 sq cm and a length of 17 cm. What is its width? (a) 2 cm (b) 4 cm (c) 3 cm (d) 17 cm
- 5.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 36 sq cm (c) 10 sq cm (d) 20 sq cm
- 6.A rectangle is 18 cm long and 6 cm wide. What is its area? (a) 24 sq cm (b) 126 sq cm (c) 108 sq cm (d) 48 sq cm
- 7.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 88 cm (b) 9 cm (c) 18 cm (d) 10 cm
- 8.A rectangle is 11 cm long and 5 cm wide. What is its area? (a) 32 sq cm (b) 66 sq cm (c) 55 sq cm (d) 16 sq cm
- 9.A rectangle has an area of 100 sq cm and a length of 20 cm. What is its width? (a) 6 cm (b) 10 cm (c) 5 cm (d) 80 cm
- 10.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 225 sq cm (c) 56 sq cm (d) 28 sq cm
- 11.A rectangle is 17 cm long and 6 cm wide. What is its area? (a) 23 sq cm (b) 46 sq cm (c) 119 sq cm (d) 102 sq cm
- 12.A rectangle has an area of 126 sq cm and a length of 18 cm. What is its width? (a) 8 cm (b) 108 cm (c) 14 cm (d) 7 cm
- 13.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 36 sq cm (c) 81 sq cm (d) 18 sq cm
- 14.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 10 sq cm (b) 24 sq cm (c) 20 sq cm (d) 16 sq cm
- 15.A rectangle has an area of 162 sq cm and a length of 18 cm. What is its width? (a) 18 cm (b) 10 cm (c) 9 cm (d) 144 cm
- 16.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
- 17.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 21 sq cm (b) 14 sq cm (c) 9 sq cm (d) 18 sq cm
- 18.A rectangle has an area of 36 sq cm and a length of 12 cm. What is its width? (a) 4 cm (b) 24 cm (c) 3 cm (d) 6 cm
- 19.A rectangle is 13 cm long and 9 cm wide. What is its perimeter? (a) 117 cm (b) 44 cm (c) 22 cm (d) 35 cm
- 20.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 256 sq cm (c) 225 sq cm (d) 60 sq cm
- 21.A rectangle has an area of 77 sq cm and a length of 11 cm. What is its width? (a) 7 cm (b) 8 cm (c) 66 cm (d) 14 cm
- 22.A rectangle is 15 cm long and 3 cm wide. What is its area? (a) 45 sq cm (b) 18 sq cm (c) 60 sq cm (d) 36 sq cm
- 23.A rectangle has an area of 88 sq cm and a length of 11 cm. What is its width? (a) 9 cm (b) 77 cm (c) 8 cm (d) 16 cm
- 24.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 36 sq cm (b) 24 sq cm (c) 12 sq cm (d) 27 sq cm
- 25.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
- 26.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 36 sq cm (c) 24 sq cm (d) 12 sq cm
- 27.A rectangle has an area of 105 sq cm and a length of 15 cm. What is its width? (a) 8 cm (b) 7 cm (c) 90 cm (d) 14 cm
- 28.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 54 sq cm (b) 14 sq cm (c) 28 sq cm (d) 45 sq cm
- 29.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 11 cm (b) 30 cm (c) 22 cm (d) 17 cm
- 30.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 28 cm (b) 14 cm (c) 22 cm (d) 48 cm
- 31.A rectangle has an area of 6 sq cm and a length of 3 cm. What is its width? (a) 4 cm (b) 2 cm (c) 1 cm (d) 3 cm
- 32.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 32 sq cm (c) 81 sq cm (d) 16 sq cm
- 33.A rectangle has an area of 140 sq cm and a length of 14 cm. What is its width? (a) 10 cm (b) 20 cm (c) 126 cm (d) 11 cm
- 34.A rectangle is 10 cm long and 7 cm wide. What is its perimeter? (a) 27 cm (b) 70 cm (c) 17 cm (d) 34 cm
- 35.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 30 sq cm (b) 15 sq cm (c) 60 sq cm (d) 50 sq cm
- 36.A rectangle has an area of 95 sq cm and a length of 19 cm. What is its width? (a) 6 cm (b) 10 cm (c) 76 cm (d) 5 cm
- 37.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 26 sq cm (c) 52 sq cm (d) 196 sq cm
- 38.A rectangle is 17 cm long and 12 cm wide. What is its perimeter? (a) 204 cm (b) 58 cm (c) 46 cm (d) 29 cm
- 39.A rectangle is 12 cm long and 8 cm wide. What is its perimeter? (a) 40 cm (b) 96 cm (c) 20 cm (d) 32 cm
- 40.A rectangle is 20 cm long and 6 cm wide. What is its area? (a) 140 sq cm (b) 26 sq cm (c) 120 sq cm (d) 52 sq cm
Answer key
- 216 sq cm
- 72 sq cm
- 52 cm
- 2 cm
- 25 sq cm
- 108 sq cm
- 9 cm
- 55 sq cm
- 5 cm
- 196 sq cm
- 102 sq cm
- 7 cm
- 81 sq cm
- 16 sq cm
- 9 cm
- 16 cm
- 14 sq cm
- 3 cm
- 44 cm
- 225 sq cm
- 7 cm
- 45 sq cm
- 8 cm
- 27 sq cm
- 144 sq cm
- 36 sq cm
- 7 cm
- 45 sq cm
- 22 cm
- 28 cm
- 2 cm
- 64 sq cm
- 10 cm
- 34 cm
- 50 sq cm
- 5 cm
- 169 sq cm
- 58 cm
- 40 cm
- 120 sq cm
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