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 20 cm long and 5 cm wide. What is its perimeter? (a) 50 cm (b) 100 cm (c) 25 cm (d) 45 cm
- 2.A rectangle has an area of 102 sq cm and a length of 17 cm. What is its width? (a) 12 cm (b) 7 cm (c) 6 cm (d) 85 cm
- 3.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its width? (a) 6 cm (b) 4 cm (c) 3 cm (d) 12 cm
- 4.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
- 5.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 225 sq cm (c) 196 sq cm (d) 56 sq cm
- 6.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 144 sq cm (c) 121 sq cm (d) 22 sq cm
- 7.A rectangle has an area of 120 sq cm and a length of 20 cm. What is its width? (a) 12 cm (b) 100 cm (c) 6 cm (d) 7 cm
- 8.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 169 sq cm (c) 144 sq cm (d) 48 sq cm
- 9.A rectangle is 15 cm long and 4 cm wide. What is its perimeter? (a) 19 cm (b) 38 cm (c) 60 cm (d) 34 cm
- 10.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 196 sq cm (d) 169 sq cm
- 11.A rectangle is 18 cm long and 5 cm wide. What is its area? (a) 23 sq cm (b) 90 sq cm (c) 46 sq cm (d) 108 sq cm
- 12.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 100 sq cm (d) 121 sq cm
- 13.A rectangle is 15 cm long and 4 cm wide. What is its area? (a) 75 sq cm (b) 60 sq cm (c) 19 sq cm (d) 38 sq cm
- 14.A rectangle has an area of 180 sq cm and a length of 18 cm. What is its width? (a) 11 cm (b) 10 cm (c) 20 cm (d) 162 cm
- 15.A rectangle is 13 cm long and 7 cm wide. What is its area? (a) 20 sq cm (b) 91 sq cm (c) 104 sq cm (d) 40 sq cm
- 16.A rectangle is 11 cm long and 9 cm wide. What is its area? (a) 40 sq cm (b) 99 sq cm (c) 110 sq cm (d) 20 sq cm
- 17.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 81 sq cm (d) 64 sq cm
- 18.A rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 30 cm (b) 26 cm (c) 13 cm (d) 23 cm
- 19.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 11 sq cm (b) 22 sq cm (c) 24 sq cm (d) 32 sq cm
- 20.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 19 sq cm (b) 18 sq cm (c) 24 sq cm (d) 9 sq cm
- 21.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 12 cm (b) 22 cm (c) 150 cm (d) 11 cm
- 22.A rectangle is 20 cm long and 6 cm wide. What is its area? (a) 26 sq cm (b) 120 sq cm (c) 140 sq cm (d) 52 sq cm
- 23.A rectangle is 13 cm long and 4 cm wide. What is its perimeter? (a) 52 cm (b) 17 cm (c) 34 cm (d) 30 cm
- 24.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 49 sq cm (c) 28 sq cm (d) 14 sq cm
- 25.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
- 26.A rectangle is 16 cm long and 12 cm wide. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 208 sq cm (d) 192 sq cm
- 27.A rectangle is 15 cm long and 7 cm wide. What is its perimeter? (a) 22 cm (b) 44 cm (c) 105 cm (d) 37 cm
- 28.A rectangle is 20 cm long and 11 cm wide. What is its perimeter? (a) 31 cm (b) 51 cm (c) 62 cm (d) 220 cm
- 29.A rectangle is 19 cm long and 2 cm wide. What is its area? (a) 42 sq cm (b) 57 sq cm (c) 21 sq cm (d) 38 sq cm
- 30.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 25 sq cm (c) 10 sq cm (d) 20 sq cm
- 31.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 27 sq cm (b) 18 sq cm (c) 22 sq cm (d) 11 sq cm
- 32.A rectangle is 16 cm long and 4 cm wide. What is its area? (a) 80 sq cm (b) 40 sq cm (c) 20 sq cm (d) 64 sq cm
- 33.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 30 sq cm (b) 22 sq cm (c) 36 sq cm (d) 11 sq cm
- 34.A rectangle is 19 cm long and 8 cm wide. What is its perimeter? (a) 46 cm (b) 54 cm (c) 27 cm (d) 152 cm
- 35.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 12 cm (b) 35 cm (c) 19 cm (d) 24 cm
- 36.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 12 sq cm (b) 42 sq cm (c) 24 sq cm (d) 35 sq cm
- 37.A rectangle is 15 cm long and 8 cm wide. What is its area? (a) 23 sq cm (b) 135 sq cm (c) 120 sq cm (d) 46 sq cm
- 38.A rectangle has an area of 72 sq cm and a length of 12 cm. What is its width? (a) 12 cm (b) 60 cm (c) 7 cm (d) 6 cm
- 39.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 14 sq cm (b) 40 sq cm (c) 50 sq cm (d) 28 sq cm
- 40.A rectangle is 20 cm long and 5 cm wide. What is its area? (a) 50 sq cm (b) 120 sq cm (c) 25 sq cm (d) 100 sq cm
Answer key
- 50 cm
- 6 cm
- 3 cm
- 36 sq cm
- 196 sq cm
- 121 sq cm
- 6 cm
- 144 sq cm
- 38 cm
- 169 sq cm
- 90 sq cm
- 100 sq cm
- 60 sq cm
- 10 cm
- 91 sq cm
- 99 sq cm
- 64 sq cm
- 26 cm
- 24 sq cm
- 18 sq cm
- 11 cm
- 120 sq cm
- 34 cm
- 49 sq cm
- 22 cm
- 192 sq cm
- 44 cm
- 62 cm
- 38 sq cm
- 25 sq cm
- 18 sq cm
- 64 sq cm
- 30 sq cm
- 54 cm
- 24 cm
- 35 sq cm
- 120 sq cm
- 6 cm
- 40 sq cm
- 100 sq cm
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