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 square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 36 sq cm (c) 12 sq cm (d) 49 sq cm
- 2.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 17 cm (b) 34 cm (c) 72 cm (d) 26 cm
- 3.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 72 sq cm (b) 32 sq cm (c) 16 sq cm (d) 63 sq cm
- 4.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 81 sq cm (c) 36 sq cm (d) 18 sq cm
- 5.A rectangle has an area of 198 sq cm and a length of 18 cm. What is its width? (a) 180 cm (b) 22 cm (c) 11 cm (d) 12 cm
- 6.A rectangle is 12 cm long and 4 cm wide. What is its area? (a) 32 sq cm (b) 60 sq cm (c) 16 sq cm (d) 48 sq cm
- 7.A rectangle is 11 cm long and 3 cm wide. What is its perimeter? (a) 14 cm (b) 33 cm (c) 25 cm (d) 28 cm
- 8.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 26 sq cm (c) 52 sq cm (d) 169 sq cm
- 9.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 64 sq cm (d) 49 sq cm
- 10.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 24 sq cm (c) 48 sq cm (d) 144 sq cm
- 11.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
- 12.A rectangle is 18 cm long and 11 cm wide. What is its perimeter? (a) 58 cm (b) 29 cm (c) 47 cm (d) 198 cm
- 13.A rectangle has an area of 153 sq cm and a length of 17 cm. What is its width? (a) 18 cm (b) 10 cm (c) 9 cm (d) 136 cm
- 14.A rectangle is 13 cm long and 4 cm wide. What is its perimeter? (a) 52 cm (b) 17 cm (c) 30 cm (d) 34 cm
- 15.A rectangle is 16 cm long and 5 cm wide. What is its perimeter? (a) 42 cm (b) 80 cm (c) 37 cm (d) 21 cm
- 16.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
- 17.A rectangle is 12 cm long and 11 cm wide. What is its area? (a) 144 sq cm (b) 23 sq cm (c) 46 sq cm (d) 132 sq cm
- 18.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 23 cm (b) 28 cm (c) 45 cm (d) 14 cm
- 19.A rectangle is 13 cm long and 10 cm wide. What is its area? (a) 46 sq cm (b) 143 sq cm (c) 23 sq cm (d) 130 sq cm
- 20.A rectangle is 15 cm long and 8 cm wide. What is its area? (a) 135 sq cm (b) 46 sq cm (c) 120 sq cm (d) 23 sq cm
- 21.A rectangle is 18 cm long and 12 cm wide. What is its area? (a) 30 sq cm (b) 60 sq cm (c) 216 sq cm (d) 234 sq cm
- 22.A rectangle is 14 cm long and 6 cm wide. What is its area? (a) 84 sq cm (b) 98 sq cm (c) 20 sq cm (d) 40 sq cm
- 23.A rectangle has an area of 160 sq cm and a length of 16 cm. What is its width? (a) 20 cm (b) 144 cm (c) 11 cm (d) 10 cm
- 24.A rectangle has an area of 117 sq cm and a length of 13 cm. What is its width? (a) 10 cm (b) 9 cm (c) 104 cm (d) 18 cm
- 25.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 44 sq cm (c) 121 sq cm (d) 144 sq cm
- 26.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) 8 cm (d) 16 cm
- 27.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 32 sq cm (c) 64 sq cm (d) 16 sq cm
- 28.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 12 cm (b) 19 cm (c) 35 cm (d) 24 cm
- 29.A rectangle is 19 cm long and 12 cm wide. What is its perimeter? (a) 50 cm (b) 228 cm (c) 62 cm (d) 31 cm
- 30.A rectangle is 19 cm long and 2 cm wide. What is its area? (a) 21 sq cm (b) 57 sq cm (c) 38 sq cm (d) 42 sq cm
- 31.A rectangle is 14 cm long and 6 cm wide. What is its perimeter? (a) 20 cm (b) 84 cm (c) 40 cm (d) 34 cm
- 32.A rectangle has an area of 70 sq cm and a length of 10 cm. What is its width? (a) 8 cm (b) 60 cm (c) 14 cm (d) 7 cm
- 33.A rectangle is 17 cm long and 11 cm wide. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 187 sq cm (d) 204 sq cm
- 34.A rectangle is 17 cm long and 12 cm wide. What is its area? (a) 29 sq cm (b) 204 sq cm (c) 221 sq cm (d) 58 sq cm
- 35.A rectangle is 19 cm long and 11 cm wide. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 209 sq cm (d) 228 sq cm
- 36.A rectangle is 15 cm long and 10 cm wide. What is its perimeter? (a) 150 cm (b) 50 cm (c) 40 cm (d) 25 cm
- 37.A rectangle is 12 cm long and 3 cm wide. What is its area? (a) 48 sq cm (b) 15 sq cm (c) 30 sq cm (d) 36 sq cm
- 38.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 27 sq cm (b) 22 sq cm (c) 18 sq cm (d) 11 sq cm
- 39.A rectangle is 12 cm long and 8 cm wide. What is its perimeter? (a) 32 cm (b) 96 cm (c) 20 cm (d) 40 cm
- 40.A rectangle is 11 cm long and 4 cm wide. What is its perimeter? (a) 15 cm (b) 26 cm (c) 44 cm (d) 30 cm
Answer key
- 36 sq cm
- 34 cm
- 63 sq cm
- 81 sq cm
- 11 cm
- 48 sq cm
- 28 cm
- 169 sq cm
- 49 sq cm
- 144 sq cm
- 14 sq cm
- 58 cm
- 9 cm
- 34 cm
- 42 cm
- 30 sq cm
- 132 sq cm
- 28 cm
- 130 sq cm
- 120 sq cm
- 216 sq cm
- 84 sq cm
- 10 cm
- 9 cm
- 121 sq cm
- 8 cm
- 64 sq cm
- 24 cm
- 62 cm
- 38 sq cm
- 40 cm
- 7 cm
- 187 sq cm
- 204 sq cm
- 209 sq cm
- 50 cm
- 36 sq cm
- 18 sq cm
- 40 cm
- 30 cm
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