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 68 sq cm and a length of 17 cm. What is its width? (a) 5 cm (b) 51 cm (c) 4 cm (d) 8 cm
- 2.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
- 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 rectangle is 6 cm long and 3 cm wide. What is its area? (a) 9 sq cm (b) 18 sq cm (c) 19 sq cm (d) 24 sq cm
- 5.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 22 sq cm (b) 11 sq cm (c) 36 sq cm (d) 30 sq cm
- 6.A rectangle is 13 cm long and 7 cm wide. What is its perimeter? (a) 33 cm (b) 91 cm (c) 40 cm (d) 20 cm
- 7.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 49 sq cm (c) 14 sq cm (d) 28 sq cm
- 8.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 196 sq cm (c) 225 sq cm (d) 56 sq cm
- 9.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 44 sq cm (c) 144 sq cm (d) 22 sq cm
- 10.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 15 cm (b) 24 cm (c) 30 cm (d) 54 cm
- 11.A rectangle is 18 cm long and 2 cm wide. What is its area? (a) 36 sq cm (b) 54 sq cm (c) 20 sq cm (d) 40 sq cm
- 12.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 28 sq cm (b) 22 sq cm (c) 11 sq cm (d) 35 sq cm
- 13.A rectangle is 13 cm long and 4 cm wide. What is its area? (a) 52 sq cm (b) 17 sq cm (c) 34 sq cm (d) 65 sq cm
- 14.A rectangle is 19 cm long and 6 cm wide. What is its perimeter? (a) 114 cm (b) 25 cm (c) 50 cm (d) 44 cm
- 15.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 22 cm (b) 130 cm (c) 12 cm (d) 11 cm
- 16.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 100 sq cm (d) 81 sq cm
- 17.A rectangle is 15 cm long and 8 cm wide. What is its perimeter? (a) 23 cm (b) 46 cm (c) 38 cm (d) 120 cm
- 18.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 28 sq cm (b) 54 sq cm (c) 45 sq cm (d) 14 sq cm
- 19.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 104 sq cm (b) 42 sq cm (c) 21 sq cm (d) 117 sq cm
- 20.A rectangle is 20 cm long and 2 cm wide. What is its area? (a) 60 sq cm (b) 22 sq cm (c) 44 sq cm (d) 40 sq cm
- 21.A rectangle is 13 cm long and 12 cm wide. What is its area? (a) 50 sq cm (b) 156 sq cm (c) 25 sq cm (d) 169 sq cm
- 22.A rectangle is 17 cm long and 10 cm wide. What is its area? (a) 187 sq cm (b) 54 sq cm (c) 27 sq cm (d) 170 sq cm
- 23.A rectangle is 20 cm long and 7 cm wide. What is its perimeter? (a) 54 cm (b) 27 cm (c) 140 cm (d) 47 cm
- 24.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 256 sq cm (c) 30 sq cm (d) 60 sq cm
- 25.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 24 cm (b) 22 cm (c) 12 cm (d) 20 cm
- 26.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 36 sq cm (b) 14 sq cm (c) 28 sq cm (d) 24 sq cm
- 27.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 13 sq cm (b) 48 sq cm (c) 26 sq cm (d) 40 sq cm
- 28.A rectangle has an area of 154 sq cm and a length of 14 cm. What is its width? (a) 140 cm (b) 11 cm (c) 22 cm (d) 12 cm
- 29.A rectangle is 14 cm long and 10 cm wide. What is its perimeter? (a) 38 cm (b) 48 cm (c) 24 cm (d) 140 cm
- 30.A rectangle is 13 cm long and 2 cm wide. What is its area? (a) 30 sq cm (b) 26 sq cm (c) 39 sq cm (d) 15 sq cm
- 31.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 10 sq cm (b) 16 sq cm (c) 24 sq cm (d) 20 sq cm
- 32.A rectangle is 20 cm long and 10 cm wide. What is its area? (a) 200 sq cm (b) 60 sq cm (c) 30 sq cm (d) 220 sq cm
- 33.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 11 sq cm (b) 32 sq cm (c) 22 sq cm (d) 24 sq cm
- 34.A rectangle has an area of 10 sq cm and a length of 5 cm. What is its width? (a) 4 cm (b) 2 cm (c) 5 cm (d) 3 cm
- 35.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 24 cm (b) 11 cm (c) 19 cm (d) 22 cm
- 36.A rectangle is 17 cm long and 2 cm wide. What is its area? (a) 34 sq cm (b) 38 sq cm (c) 19 sq cm (d) 51 sq cm
- 37.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 11 cm (b) 20 cm (c) 99 cm (d) 10 cm
- 38.A rectangle is 12 cm long and 7 cm wide. What is its area? (a) 38 sq cm (b) 84 sq cm (c) 19 sq cm (d) 96 sq cm
- 39.A rectangle has an area of 57 sq cm and a length of 19 cm. What is its width? (a) 6 cm (b) 38 cm (c) 4 cm (d) 3 cm
- 40.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 100 sq cm (b) 90 sq cm (c) 19 sq cm (d) 38 sq cm
Answer key
- 4 cm
- 144 sq cm
- 25 sq cm
- 18 sq cm
- 30 sq cm
- 40 cm
- 49 sq cm
- 196 sq cm
- 121 sq cm
- 30 cm
- 36 sq cm
- 28 sq cm
- 52 sq cm
- 50 cm
- 11 cm
- 81 sq cm
- 46 cm
- 45 sq cm
- 104 sq cm
- 40 sq cm
- 156 sq cm
- 170 sq cm
- 54 cm
- 225 sq cm
- 24 cm
- 24 sq cm
- 40 sq cm
- 11 cm
- 48 cm
- 26 sq cm
- 16 sq cm
- 200 sq cm
- 24 sq cm
- 2 cm
- 22 cm
- 34 sq cm
- 10 cm
- 84 sq cm
- 3 cm
- 90 sq cm
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