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 9 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 12 cm (c) 27 cm (d) 24 cm
- 2.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 30 sq cm (b) 20 sq cm (c) 10 sq cm (d) 24 sq cm
- 3.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its width? (a) 4 cm (b) 8 cm (c) 21 cm (d) 5 cm
- 4.A rectangle has an area of 33 sq cm and a length of 11 cm. What is its width? (a) 4 cm (b) 22 cm (c) 6 cm (d) 3 cm
- 5.A rectangle is 11 cm long and 7 cm wide. What is its perimeter? (a) 18 cm (b) 77 cm (c) 29 cm (d) 36 cm
- 6.A rectangle has an area of 10 sq cm and a length of 5 cm. What is its width? (a) 3 cm (b) 5 cm (c) 4 cm (d) 2 cm
- 7.A rectangle is 18 cm long and 8 cm wide. What is its perimeter? (a) 26 cm (b) 44 cm (c) 144 cm (d) 52 cm
- 8.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 52 sq cm (c) 26 sq cm (d) 169 sq cm
- 9.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 28 sq cm (c) 196 sq cm (d) 56 sq cm
- 10.A rectangle is 13 cm long and 12 cm wide. What is its perimeter? (a) 50 cm (b) 38 cm (c) 25 cm (d) 156 cm
- 11.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
- 12.A rectangle is 17 cm long and 3 cm wide. What is its perimeter? (a) 40 cm (b) 20 cm (c) 37 cm (d) 51 cm
- 13.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 27 sq cm (c) 36 sq cm (d) 12 sq cm
- 14.A rectangle has an area of 95 sq cm and a length of 19 cm. What is its width? (a) 6 cm (b) 5 cm (c) 76 cm (d) 10 cm
- 15.A rectangle has an area of 126 sq cm and a length of 14 cm. What is its width? (a) 18 cm (b) 112 cm (c) 9 cm (d) 10 cm
- 16.A rectangle has an area of 198 sq cm and a length of 18 cm. What is its width? (a) 11 cm (b) 22 cm (c) 180 cm (d) 12 cm
- 17.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 40 sq cm (c) 121 sq cm (d) 20 sq cm
- 18.A rectangle is 11 cm long and 10 cm wide. What is its area? (a) 42 sq cm (b) 121 sq cm (c) 21 sq cm (d) 110 sq cm
- 19.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 24 cm (b) 198 cm (c) 12 cm (d) 13 cm
- 20.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 24 sq cm (b) 42 sq cm (c) 12 sq cm (d) 35 sq cm
- 21.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 24 sq cm (c) 20 sq cm (d) 10 sq cm
- 22.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 15 cm (b) 19 cm (c) 18 cm (d) 9 cm
- 23.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 38 sq cm (b) 100 sq cm (c) 19 sq cm (d) 90 sq cm
- 24.A rectangle is 11 cm long and 5 cm wide. What is its area? (a) 55 sq cm (b) 66 sq cm (c) 16 sq cm (d) 32 sq cm
- 25.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 12 sq cm (c) 36 sq cm (d) 24 sq cm
- 26.A rectangle is 15 cm long and 3 cm wide. What is its perimeter? (a) 18 cm (b) 45 cm (c) 36 cm (d) 33 cm
- 27.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 32 sq cm (b) 11 sq cm (c) 24 sq cm (d) 22 sq cm
- 28.A rectangle is 15 cm long and 5 cm wide. What is its perimeter? (a) 75 cm (b) 20 cm (c) 35 cm (d) 40 cm
- 29.A rectangle is 17 cm long and 10 cm wide. What is its area? (a) 170 sq cm (b) 54 sq cm (c) 27 sq cm (d) 187 sq cm
- 30.A rectangle is 17 cm long and 8 cm wide. What is its area? (a) 50 sq cm (b) 25 sq cm (c) 153 sq cm (d) 136 sq cm
- 31.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
- 32.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 17 sq cm (b) 34 sq cm (c) 56 sq cm (d) 42 sq cm
- 33.A rectangle has an area of 192 sq cm and a length of 16 cm. What is its width? (a) 12 cm (b) 13 cm (c) 24 cm (d) 176 cm
- 34.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 190 cm (b) 11 cm (c) 22 cm (d) 12 cm
- 35.A rectangle is 11 cm long and 10 cm wide. What is its perimeter? (a) 42 cm (b) 32 cm (c) 110 cm (d) 21 cm
- 36.A rectangle is 14 cm long and 9 cm wide. What is its area? (a) 140 sq cm (b) 46 sq cm (c) 126 sq cm (d) 23 sq cm
- 37.A rectangle has an area of 144 sq cm and a length of 18 cm. What is its width? (a) 126 cm (b) 9 cm (c) 16 cm (d) 8 cm
- 38.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
- 39.A rectangle is 11 cm long and 8 cm wide. What is its area? (a) 19 sq cm (b) 38 sq cm (c) 99 sq cm (d) 88 sq cm
- 40.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 64 sq cm (c) 49 sq cm (d) 14 sq cm
Answer key
- 24 cm
- 24 sq cm
- 4 cm
- 3 cm
- 36 cm
- 2 cm
- 52 cm
- 169 sq cm
- 196 sq cm
- 50 cm
- 25 sq cm
- 40 cm
- 27 sq cm
- 5 cm
- 9 cm
- 11 cm
- 100 sq cm
- 110 sq cm
- 12 cm
- 35 sq cm
- 16 sq cm
- 18 cm
- 90 sq cm
- 55 sq cm
- 36 sq cm
- 36 cm
- 24 sq cm
- 40 cm
- 170 sq cm
- 136 sq cm
- 48 sq cm
- 42 sq cm
- 12 cm
- 11 cm
- 42 cm
- 126 sq cm
- 8 cm
- 28 sq cm
- 88 sq cm
- 49 sq cm
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