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 17 cm long and 2 cm wide. What is its area? (a) 38 sq cm (b) 34 sq cm (c) 51 sq cm (d) 19 sq cm
- 2.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 35 cm (b) 24 cm (c) 19 cm (d) 12 cm
- 3.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 100 sq cm (d) 121 sq cm
- 4.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 49 sq cm (d) 36 sq cm
- 5.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 44 sq cm (c) 144 sq cm (d) 121 sq cm
- 6.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 209 cm (b) 13 cm (c) 24 cm (d) 12 cm
- 7.A rectangle is 19 cm long and 12 cm wide. What is its area? (a) 247 sq cm (b) 228 sq cm (c) 62 sq cm (d) 31 sq cm
- 8.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 225 sq cm (c) 30 sq cm (d) 60 sq cm
- 9.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 25 sq cm (d) 36 sq cm
- 10.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 19 sq cm (b) 18 sq cm (c) 9 sq cm (d) 24 sq cm
- 11.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 20 sq cm (b) 12 sq cm (c) 30 sq cm (d) 24 sq cm
- 12.A rectangle is 17 cm long and 5 cm wide. What is its perimeter? (a) 85 cm (b) 22 cm (c) 39 cm (d) 44 cm
- 13.A rectangle has an area of 30 sq cm and a length of 10 cm. What is its width? (a) 6 cm (b) 20 cm (c) 4 cm (d) 3 cm
- 14.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 225 sq cm (c) 196 sq cm (d) 28 sq cm
- 15.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 22 sq cm (b) 24 sq cm (c) 11 sq cm (d) 32 sq cm
- 16.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 42 cm (b) 13 cm (c) 26 cm (d) 20 cm
- 17.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 11 sq cm (b) 22 sq cm (c) 27 sq cm (d) 18 sq cm
- 18.A rectangle is 16 cm long and 7 cm wide. What is its perimeter? (a) 46 cm (b) 23 cm (c) 112 cm (d) 39 cm
- 19.A rectangle is 18 cm long and 11 cm wide. What is its area? (a) 58 sq cm (b) 216 sq cm (c) 29 sq cm (d) 198 sq cm
- 20.A rectangle is 15 cm long and 3 cm wide. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 45 sq cm (d) 60 sq cm
- 21.A rectangle is 20 cm long and 11 cm wide. What is its area? (a) 220 sq cm (b) 62 sq cm (c) 240 sq cm (d) 31 sq cm
- 22.A rectangle is 16 cm long and 10 cm wide. What is its area? (a) 160 sq cm (b) 26 sq cm (c) 176 sq cm (d) 52 sq cm
- 23.A rectangle is 20 cm long and 7 cm wide. What is its area? (a) 140 sq cm (b) 27 sq cm (c) 54 sq cm (d) 160 sq cm
- 24.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 56 sq cm (b) 48 sq cm (c) 14 sq cm (d) 28 sq cm
- 25.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 10 cm (b) 18 cm (c) 20 cm (d) 16 cm
- 26.A rectangle has an area of 63 sq cm and a length of 9 cm. What is its width? (a) 8 cm (b) 14 cm (c) 54 cm (d) 7 cm
- 27.A rectangle has an area of 10 sq cm and a length of 5 cm. What is its width? (a) 3 cm (b) 4 cm (c) 2 cm (d) 5 cm
- 28.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 165 cm (b) 13 cm (c) 12 cm (d) 24 cm
- 29.A rectangle is 18 cm long and 9 cm wide. What is its area? (a) 180 sq cm (b) 27 sq cm (c) 162 sq cm (d) 54 sq cm
- 30.A rectangle has an area of 64 sq cm and a length of 16 cm. What is its width? (a) 48 cm (b) 8 cm (c) 5 cm (d) 4 cm
- 31.A rectangle has an area of 28 sq cm and a length of 14 cm. What is its width? (a) 14 cm (b) 4 cm (c) 2 cm (d) 3 cm
- 32.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 14 sq cm (b) 36 sq cm (c) 24 sq cm (d) 28 sq cm
- 33.A rectangle has an area of 57 sq cm and a length of 19 cm. What is its width? (a) 38 cm (b) 4 cm (c) 6 cm (d) 3 cm
- 34.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 10 sq cm (b) 24 sq cm (c) 20 sq cm (d) 16 sq cm
- 35.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 20 cm (b) 11 cm (c) 108 cm (d) 10 cm
- 36.A rectangle is 14 cm long and 4 cm wide. What is its perimeter? (a) 18 cm (b) 56 cm (c) 32 cm (d) 36 cm
- 37.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 26 cm (b) 72 cm (c) 17 cm (d) 34 cm
- 38.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
- 39.A rectangle has an area of 76 sq cm and a length of 19 cm. What is its width? (a) 5 cm (b) 57 cm (c) 8 cm (d) 4 cm
- 40.A rectangle has an area of 240 sq cm and a length of 20 cm. What is its width? (a) 13 cm (b) 24 cm (c) 12 cm (d) 220 cm
Answer key
- 34 sq cm
- 24 cm
- 100 sq cm
- 36 sq cm
- 121 sq cm
- 12 cm
- 228 sq cm
- 225 sq cm
- 25 sq cm
- 18 sq cm
- 20 sq cm
- 44 cm
- 3 cm
- 196 sq cm
- 24 sq cm
- 26 cm
- 18 sq cm
- 46 cm
- 198 sq cm
- 45 sq cm
- 220 sq cm
- 160 sq cm
- 140 sq cm
- 48 sq cm
- 20 cm
- 7 cm
- 2 cm
- 12 cm
- 162 sq cm
- 4 cm
- 2 cm
- 24 sq cm
- 3 cm
- 16 sq cm
- 10 cm
- 36 cm
- 34 cm
- 49 sq cm
- 4 cm
- 12 cm
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