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 165 sq cm and a length of 15 cm. What is its width? (a) 150 cm (b) 12 cm (c) 22 cm (d) 11 cm
- 2.A rectangle is 15 cm long and 10 cm wide. What is its perimeter? (a) 25 cm (b) 150 cm (c) 40 cm (d) 50 cm
- 3.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 32 cm (b) 12 cm (c) 20 cm (d) 24 cm
- 4.A rectangle has an area of 76 sq cm and a length of 19 cm. What is its width? (a) 57 cm (b) 5 cm (c) 4 cm (d) 8 cm
- 5.A rectangle is 20 cm long and 6 cm wide. What is its perimeter? (a) 52 cm (b) 26 cm (c) 46 cm (d) 120 cm
- 6.A rectangle has an area of 112 sq cm and a length of 14 cm. What is its width? (a) 9 cm (b) 98 cm (c) 16 cm (d) 8 cm
- 7.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 9 sq cm (b) 14 sq cm (c) 21 sq cm (d) 18 sq cm
- 8.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 225 sq cm (c) 196 sq cm (d) 28 sq cm
- 9.A rectangle is 16 cm long and 4 cm wide. What is its perimeter? (a) 64 cm (b) 40 cm (c) 36 cm (d) 20 cm
- 10.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 36 sq cm (c) 18 sq cm (d) 81 sq cm
- 11.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 20 sq cm (b) 24 sq cm (c) 16 sq cm (d) 10 sq cm
- 12.A rectangle is 12 cm long and 5 cm wide. What is its area? (a) 60 sq cm (b) 72 sq cm (c) 34 sq cm (d) 17 sq cm
- 13.A rectangle has an area of 80 sq cm and a length of 20 cm. What is its width? (a) 5 cm (b) 60 cm (c) 4 cm (d) 8 cm
- 14.A rectangle is 19 cm long and 4 cm wide. What is its area? (a) 46 sq cm (b) 23 sq cm (c) 95 sq cm (d) 76 sq cm
- 15.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 20 sq cm (c) 25 sq cm (d) 10 sq cm
- 16.A rectangle has an area of 98 sq cm and a length of 14 cm. What is its width? (a) 7 cm (b) 84 cm (c) 14 cm (d) 8 cm
- 17.A rectangle is 11 cm long and 2 cm wide. What is its perimeter? (a) 26 cm (b) 22 cm (c) 13 cm (d) 24 cm
- 18.A rectangle has an area of 36 sq cm and a length of 9 cm. What is its width? (a) 27 cm (b) 8 cm (c) 4 cm (d) 5 cm
- 19.A rectangle is 15 cm long and 3 cm wide. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 45 sq cm (d) 60 sq cm
- 20.A rectangle is 19 cm long and 3 cm wide. What is its perimeter? (a) 41 cm (b) 44 cm (c) 57 cm (d) 22 cm
- 21.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 121 sq cm (c) 44 sq cm (d) 144 sq cm
- 22.A rectangle has an area of 77 sq cm and a length of 11 cm. What is its width? (a) 8 cm (b) 7 cm (c) 66 cm (d) 14 cm
- 23.A rectangle is 17 cm long and 9 cm wide. What is its area? (a) 170 sq cm (b) 26 sq cm (c) 52 sq cm (d) 153 sq cm
- 24.A rectangle is 16 cm long and 9 cm wide. What is its perimeter? (a) 41 cm (b) 50 cm (c) 25 cm (d) 144 cm
- 25.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 30 sq cm (b) 36 sq cm (c) 11 sq cm (d) 22 sq cm
- 26.A rectangle is 11 cm long and 7 cm wide. What is its area? (a) 77 sq cm (b) 18 sq cm (c) 88 sq cm (d) 36 sq cm
- 27.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 19 cm (b) 35 cm (c) 12 cm (d) 24 cm
- 28.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 196 sq cm (c) 169 sq cm (d) 26 sq cm
- 29.A rectangle is 15 cm long and 5 cm wide. What is its area? (a) 90 sq cm (b) 40 sq cm (c) 20 sq cm (d) 75 sq cm
- 30.A rectangle is 14 cm long and 2 cm wide. What is its area? (a) 42 sq cm (b) 16 sq cm (c) 32 sq cm (d) 28 sq cm
- 31.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 13 cm (b) 12 cm (c) 165 cm (d) 24 cm
- 32.A rectangle is 18 cm long and 11 cm wide. What is its area? (a) 58 sq cm (b) 216 sq cm (c) 198 sq cm (d) 29 sq cm
- 33.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
- 34.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
- 35.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 19 sq cm (c) 9 sq cm (d) 18 sq cm
- 36.A rectangle is 11 cm long and 6 cm wide. What is its perimeter? (a) 34 cm (b) 17 cm (c) 66 cm (d) 28 cm
- 37.A rectangle is 15 cm long and 6 cm wide. What is its area? (a) 105 sq cm (b) 21 sq cm (c) 90 sq cm (d) 42 sq cm
- 38.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 13 cm (b) 154 cm (c) 12 cm (d) 24 cm
- 39.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 144 sq cm (c) 24 sq cm (d) 48 sq cm
- 40.A rectangle is 17 cm long and 4 cm wide. What is its area? (a) 21 sq cm (b) 68 sq cm (c) 85 sq cm (d) 42 sq cm
Answer key
- 11 cm
- 50 cm
- 24 cm
- 4 cm
- 52 cm
- 8 cm
- 14 sq cm
- 196 sq cm
- 40 cm
- 81 sq cm
- 16 sq cm
- 60 sq cm
- 4 cm
- 76 sq cm
- 25 sq cm
- 7 cm
- 26 cm
- 4 cm
- 45 sq cm
- 44 cm
- 121 sq cm
- 7 cm
- 153 sq cm
- 50 cm
- 30 sq cm
- 77 sq cm
- 24 cm
- 169 sq cm
- 75 sq cm
- 28 sq cm
- 12 cm
- 198 sq cm
- 36 sq cm
- 10 cm
- 18 sq cm
- 34 cm
- 90 sq cm
- 12 cm
- 144 sq cm
- 68 sq cm
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