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 14 cm long and 9 cm wide. What is its perimeter? (a) 23 cm (b) 46 cm (c) 126 cm (d) 37 cm
- 2.A rectangle is 15 cm long and 7 cm wide. What is its area? (a) 22 sq cm (b) 120 sq cm (c) 44 sq cm (d) 105 sq cm
- 3.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 10 sq cm (c) 36 sq cm (d) 20 sq cm
- 4.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 44 sq cm (c) 22 sq cm (d) 144 sq cm
- 5.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 64 sq cm (c) 49 sq cm (d) 28 sq cm
- 6.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 18 sq cm (c) 12 sq cm (d) 8 sq cm
- 7.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 49 sq cm (c) 24 sq cm (d) 12 sq cm
- 8.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 100 sq cm (c) 20 sq cm (d) 40 sq cm
- 9.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 100 sq cm (c) 81 sq cm (d) 36 sq cm
- 10.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 30 sq cm (b) 54 sq cm (c) 63 sq cm (d) 15 sq cm
- 11.A rectangle is 18 cm long and 6 cm wide. What is its area? (a) 24 sq cm (b) 48 sq cm (c) 108 sq cm (d) 126 sq cm
- 12.A rectangle is 14 cm long and 2 cm wide. What is its perimeter? (a) 30 cm (b) 32 cm (c) 28 cm (d) 16 cm
- 13.A rectangle is 13 cm long and 3 cm wide. What is its area? (a) 52 sq cm (b) 32 sq cm (c) 39 sq cm (d) 16 sq cm
- 14.A rectangle has an area of 180 sq cm and a length of 18 cm. What is its width? (a) 20 cm (b) 11 cm (c) 10 cm (d) 162 cm
- 15.A rectangle is 17 cm long and 5 cm wide. What is its area? (a) 85 sq cm (b) 44 sq cm (c) 102 sq cm (d) 22 sq cm
- 16.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 144 sq cm (c) 169 sq cm (d) 24 sq cm
- 17.A rectangle has an area of 154 sq cm and a length of 14 cm. What is its width? (a) 12 cm (b) 22 cm (c) 140 cm (d) 11 cm
- 18.A rectangle is 17 cm long and 7 cm wide. What is its area? (a) 119 sq cm (b) 136 sq cm (c) 48 sq cm (d) 24 sq cm
- 19.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 11 sq cm (c) 22 sq cm (d) 32 sq cm
- 20.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 13 cm (b) 12 cm (c) 24 cm (d) 154 cm
- 21.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 33 sq cm (b) 22 sq cm (c) 13 sq cm (d) 26 sq cm
- 22.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 42 sq cm (b) 21 sq cm (c) 117 sq cm (d) 104 sq cm
- 23.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 15 cm (b) 30 cm (c) 23 cm (d) 56 cm
- 24.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 42 sq cm (b) 12 sq cm (c) 35 sq cm (d) 24 sq cm
- 25.A rectangle has an area of 18 sq cm and a length of 9 cm. What is its width? (a) 4 cm (b) 9 cm (c) 2 cm (d) 3 cm
- 26.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 22 sq cm (c) 27 sq cm (d) 11 sq cm
- 27.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 13 sq cm (b) 26 sq cm (c) 48 sq cm (d) 40 sq cm
- 28.A rectangle is 13 cm long and 11 cm wide. What is its area? (a) 143 sq cm (b) 48 sq cm (c) 156 sq cm (d) 24 sq cm
- 29.A rectangle has an area of 65 sq cm and a length of 13 cm. What is its width? (a) 5 cm (b) 52 cm (c) 10 cm (d) 6 cm
- 30.A rectangle has an area of 77 sq cm and a length of 11 cm. What is its width? (a) 66 cm (b) 7 cm (c) 14 cm (d) 8 cm
- 31.A rectangle is 11 cm long and 10 cm wide. What is its area? (a) 42 sq cm (b) 21 sq cm (c) 121 sq cm (d) 110 sq cm
- 32.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 130 cm (b) 22 cm (c) 12 cm (d) 11 cm
- 33.A rectangle is 10 cm long and 7 cm wide. What is its perimeter? (a) 27 cm (b) 34 cm (c) 70 cm (d) 17 cm
- 34.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 12 cm (b) 24 cm (c) 13 cm (d) 165 cm
- 35.A rectangle is 13 cm long and 2 cm wide. What is its perimeter? (a) 30 cm (b) 15 cm (c) 28 cm (d) 26 cm
- 36.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 22 cm (b) 24 cm (c) 11 cm (d) 19 cm
- 37.A rectangle has an area of 72 sq cm and a length of 9 cm. What is its width? (a) 16 cm (b) 8 cm (c) 9 cm (d) 63 cm
- 38.A rectangle has an area of 84 sq cm and a length of 14 cm. What is its width? (a) 12 cm (b) 70 cm (c) 7 cm (d) 6 cm
- 39.A rectangle has an area of 136 sq cm and a length of 17 cm. What is its width? (a) 119 cm (b) 9 cm (c) 8 cm (d) 16 cm
- 40.A rectangle is 18 cm long and 8 cm wide. What is its perimeter? (a) 52 cm (b) 144 cm (c) 44 cm (d) 26 cm
Answer key
- 46 cm
- 105 sq cm
- 25 sq cm
- 121 sq cm
- 49 sq cm
- 12 sq cm
- 36 sq cm
- 100 sq cm
- 81 sq cm
- 54 sq cm
- 108 sq cm
- 32 cm
- 39 sq cm
- 10 cm
- 85 sq cm
- 144 sq cm
- 11 cm
- 119 sq cm
- 24 sq cm
- 12 cm
- 22 sq cm
- 104 sq cm
- 30 cm
- 35 sq cm
- 2 cm
- 18 sq cm
- 40 sq cm
- 143 sq cm
- 5 cm
- 7 cm
- 110 sq cm
- 11 cm
- 34 cm
- 12 cm
- 30 cm
- 22 cm
- 8 cm
- 6 cm
- 8 cm
- 52 cm
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