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 7 cm long and 3 cm wide. What is its area? (a) 21 sq cm (b) 20 sq cm (c) 28 sq cm (d) 10 sq cm
- 2.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
- 3.A rectangle is 18 cm long and 12 cm wide. What is its perimeter? (a) 30 cm (b) 216 cm (c) 60 cm (d) 48 cm
- 4.A rectangle is 19 cm long and 12 cm wide. What is its area? (a) 247 sq cm (b) 31 sq cm (c) 228 sq cm (d) 62 sq cm
- 5.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
- 6.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 88 cm (b) 10 cm (c) 9 cm (d) 18 cm
- 7.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 24 sq cm (c) 144 sq cm (d) 48 sq cm
- 8.A rectangle is 16 cm long and 4 cm wide. What is its perimeter? (a) 64 cm (b) 36 cm (c) 40 cm (d) 20 cm
- 9.A rectangle is 13 cm long and 5 cm wide. What is its area? (a) 65 sq cm (b) 78 sq cm (c) 18 sq cm (d) 36 sq cm
- 10.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 20 sq cm (b) 24 sq cm (c) 16 sq cm (d) 10 sq cm
- 11.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 187 cm (b) 24 cm (c) 13 cm (d) 12 cm
- 12.A rectangle is 16 cm long and 8 cm wide. What is its area? (a) 128 sq cm (b) 24 sq cm (c) 48 sq cm (d) 144 sq cm
- 13.A rectangle is 15 cm long and 6 cm wide. What is its area? (a) 90 sq cm (b) 21 sq cm (c) 105 sq cm (d) 42 sq cm
- 14.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 25 sq cm (c) 10 sq cm (d) 20 sq cm
- 15.A rectangle has an area of 35 sq cm and a length of 7 cm. What is its width? (a) 28 cm (b) 5 cm (c) 6 cm (d) 10 cm
- 16.A rectangle has an area of 55 sq cm and a length of 11 cm. What is its width? (a) 44 cm (b) 10 cm (c) 6 cm (d) 5 cm
- 17.A rectangle is 17 cm long and 12 cm wide. What is its area? (a) 204 sq cm (b) 221 sq cm (c) 29 sq cm (d) 58 sq cm
- 18.A rectangle is 14 cm long and 12 cm wide. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 182 sq cm (d) 168 sq cm
- 19.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 32 sq cm (b) 24 sq cm (c) 40 sq cm (d) 12 sq cm
- 20.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 20 sq cm (b) 24 sq cm (c) 30 sq cm (d) 10 sq cm
- 21.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
- 22.A rectangle has an area of 192 sq cm and a length of 16 cm. What is its width? (a) 24 cm (b) 12 cm (c) 176 cm (d) 13 cm
- 23.A rectangle is 20 cm long and 10 cm wide. What is its perimeter? (a) 30 cm (b) 60 cm (c) 200 cm (d) 50 cm
- 24.A rectangle is 15 cm long and 7 cm wide. What is its area? (a) 120 sq cm (b) 44 sq cm (c) 22 sq cm (d) 105 sq cm
- 25.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 19 cm (b) 18 cm (c) 15 cm (d) 9 cm
- 26.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 54 sq cm (d) 45 sq cm
- 27.A rectangle is 18 cm long and 10 cm wide. What is its perimeter? (a) 180 cm (b) 56 cm (c) 28 cm (d) 46 cm
- 28.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 196 sq cm (d) 225 sq cm
- 29.A rectangle is 14 cm long and 7 cm wide. What is its area? (a) 21 sq cm (b) 98 sq cm (c) 42 sq cm (d) 112 sq cm
- 30.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 21 cm (b) 13 cm (c) 26 cm (d) 40 cm
- 31.A rectangle is 11 cm long and 7 cm wide. What is its perimeter? (a) 36 cm (b) 18 cm (c) 29 cm (d) 77 cm
- 32.A rectangle is 17 cm long and 12 cm wide. What is its perimeter? (a) 46 cm (b) 58 cm (c) 29 cm (d) 204 cm
- 33.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 154 cm (b) 24 cm (c) 13 cm (d) 12 cm
- 34.A rectangle has an area of 105 sq cm and a length of 15 cm. What is its width? (a) 8 cm (b) 7 cm (c) 90 cm (d) 14 cm
- 35.A rectangle has an area of 12 sq cm and a length of 6 cm. What is its width? (a) 2 cm (b) 4 cm (c) 6 cm (d) 3 cm
- 36.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 36 sq cm (b) 28 sq cm (c) 14 sq cm (d) 24 sq cm
- 37.A rectangle has an area of 22 sq cm and a length of 11 cm. What is its width? (a) 4 cm (b) 3 cm (c) 2 cm (d) 11 cm
- 38.A rectangle has an area of 114 sq cm and a length of 19 cm. What is its width? (a) 12 cm (b) 95 cm (c) 7 cm (d) 6 cm
- 39.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 52 sq cm (c) 169 sq cm (d) 26 sq cm
- 40.A rectangle is 11 cm long and 3 cm wide. What is its perimeter? (a) 28 cm (b) 14 cm (c) 25 cm (d) 33 cm
Answer key
- 21 sq cm
- 36 sq cm
- 60 cm
- 228 sq cm
- 81 sq cm
- 9 cm
- 144 sq cm
- 40 cm
- 65 sq cm
- 16 sq cm
- 12 cm
- 128 sq cm
- 90 sq cm
- 25 sq cm
- 5 cm
- 5 cm
- 204 sq cm
- 168 sq cm
- 32 sq cm
- 24 sq cm
- 24 cm
- 12 cm
- 60 cm
- 105 sq cm
- 18 cm
- 45 sq cm
- 56 cm
- 196 sq cm
- 98 sq cm
- 26 cm
- 36 cm
- 58 cm
- 12 cm
- 7 cm
- 2 cm
- 24 sq cm
- 2 cm
- 6 cm
- 169 sq cm
- 28 cm
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