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 26 sq cm and a length of 13 cm. What is its width? (a) 3 cm (b) 2 cm (c) 4 cm (d) 13 cm
- 2.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 16 sq cm (b) 63 sq cm (c) 72 sq cm (d) 32 sq cm
- 3.A rectangle is 16 cm long and 10 cm wide. What is its perimeter? (a) 42 cm (b) 52 cm (c) 160 cm (d) 26 cm
- 4.A rectangle is 11 cm long and 4 cm wide. What is its area? (a) 55 sq cm (b) 44 sq cm (c) 30 sq cm (d) 15 sq cm
- 5.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 169 sq cm (d) 196 sq cm
- 6.A rectangle is 18 cm long and 9 cm wide. What is its perimeter? (a) 27 cm (b) 162 cm (c) 45 cm (d) 54 cm
- 7.A rectangle is 17 cm long and 9 cm wide. What is its area? (a) 153 sq cm (b) 170 sq cm (c) 52 sq cm (d) 26 sq cm
- 8.A rectangle has an area of 220 sq cm and a length of 20 cm. What is its width? (a) 200 cm (b) 12 cm (c) 11 cm (d) 22 cm
- 9.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
- 10.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 14 sq cm (b) 54 sq cm (c) 28 sq cm (d) 45 sq cm
- 11.A rectangle is 12 cm long and 11 cm wide. What is its area? (a) 23 sq cm (b) 132 sq cm (c) 46 sq cm (d) 144 sq cm
- 12.A rectangle has an area of 140 sq cm and a length of 20 cm. What is its width? (a) 120 cm (b) 7 cm (c) 8 cm (d) 14 cm
- 13.A rectangle has an area of 72 sq cm and a length of 12 cm. What is its width? (a) 60 cm (b) 6 cm (c) 7 cm (d) 12 cm
- 14.A rectangle is 13 cm long and 5 cm wide. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 78 sq cm (d) 65 sq cm
- 15.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 9 cm (c) 18 cm (d) 16 cm
- 16.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 81 sq cm (c) 36 sq cm (d) 100 sq cm
- 17.A rectangle has an area of 117 sq cm and a length of 13 cm. What is its width? (a) 104 cm (b) 10 cm (c) 9 cm (d) 18 cm
- 18.A rectangle is 13 cm long and 5 cm wide. What is its perimeter? (a) 36 cm (b) 31 cm (c) 65 cm (d) 18 cm
- 19.A rectangle has an area of 45 sq cm and a length of 9 cm. What is its width? (a) 10 cm (b) 6 cm (c) 36 cm (d) 5 cm
- 20.A rectangle is 18 cm long and 4 cm wide. What is its perimeter? (a) 44 cm (b) 22 cm (c) 40 cm (d) 72 cm
- 21.A rectangle has an area of 91 sq cm and a length of 13 cm. What is its width? (a) 78 cm (b) 14 cm (c) 8 cm (d) 7 cm
- 22.A rectangle has an area of 32 sq cm and a length of 8 cm. What is its width? (a) 4 cm (b) 8 cm (c) 24 cm (d) 5 cm
- 23.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 49 sq cm (c) 64 sq cm (d) 14 sq cm
- 24.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 35 sq cm (d) 42 sq cm
- 25.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 25 sq cm (c) 36 sq cm (d) 20 sq cm
- 26.A rectangle is 11 cm long and 9 cm wide. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 110 sq cm (d) 99 sq cm
- 27.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 22 cm (b) 11 cm (c) 30 cm (d) 17 cm
- 28.A rectangle is 14 cm long and 12 cm wide. What is its area? (a) 26 sq cm (b) 168 sq cm (c) 182 sq cm (d) 52 sq cm
- 29.A rectangle is 17 cm long and 11 cm wide. What is its area? (a) 204 sq cm (b) 28 sq cm (c) 56 sq cm (d) 187 sq cm
- 30.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 256 sq cm (d) 225 sq cm
- 31.A rectangle is 15 cm long and 7 cm wide. What is its perimeter? (a) 105 cm (b) 44 cm (c) 22 cm (d) 37 cm
- 32.A rectangle has an area of 77 sq cm and a length of 11 cm. What is its width? (a) 8 cm (b) 14 cm (c) 7 cm (d) 66 cm
- 33.A rectangle is 17 cm long and 3 cm wide. What is its perimeter? (a) 37 cm (b) 40 cm (c) 20 cm (d) 51 cm
- 34.A rectangle is 13 cm long and 3 cm wide. What is its perimeter? (a) 16 cm (b) 39 cm (c) 29 cm (d) 32 cm
- 35.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 14 sq cm (d) 48 sq cm
- 36.A rectangle is 15 cm long and 8 cm wide. What is its perimeter? (a) 120 cm (b) 23 cm (c) 38 cm (d) 46 cm
- 37.A rectangle has an area of 105 sq cm and a length of 15 cm. What is its width? (a) 7 cm (b) 14 cm (c) 90 cm (d) 8 cm
- 38.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 26 sq cm (b) 45 sq cm (c) 36 sq cm (d) 13 sq cm
- 39.A rectangle is 18 cm long and 2 cm wide. What is its perimeter? (a) 40 cm (b) 38 cm (c) 20 cm (d) 36 cm
- 40.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 49 sq cm (c) 24 sq cm (d) 36 sq cm
Answer key
- 2 cm
- 63 sq cm
- 52 cm
- 44 sq cm
- 169 sq cm
- 54 cm
- 153 sq cm
- 11 cm
- 50 sq cm
- 45 sq cm
- 132 sq cm
- 7 cm
- 6 cm
- 65 sq cm
- 18 cm
- 81 sq cm
- 9 cm
- 36 cm
- 5 cm
- 44 cm
- 7 cm
- 4 cm
- 49 sq cm
- 35 sq cm
- 25 sq cm
- 99 sq cm
- 22 cm
- 168 sq cm
- 187 sq cm
- 225 sq cm
- 44 cm
- 7 cm
- 40 cm
- 32 cm
- 48 sq cm
- 46 cm
- 7 cm
- 36 sq cm
- 40 cm
- 36 sq cm
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