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 16 cm long and 8 cm wide. What is its perimeter? (a) 24 cm (b) 40 cm (c) 128 cm (d) 48 cm
- 2.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 100 sq cm (d) 81 sq cm
- 3.A rectangle is 10 cm long and 4 cm wide. What is its perimeter? (a) 14 cm (b) 24 cm (c) 40 cm (d) 28 cm
- 4.A rectangle is 15 cm long and 3 cm wide. What is its perimeter? (a) 18 cm (b) 33 cm (c) 45 cm (d) 36 cm
- 5.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 25 sq cm (c) 20 sq cm (d) 10 sq cm
- 6.A rectangle is 14 cm long and 4 cm wide. What is its area? (a) 18 sq cm (b) 70 sq cm (c) 36 sq cm (d) 56 sq cm
- 7.A rectangle has an area of 24 sq cm and a length of 8 cm. What is its width? (a) 4 cm (b) 16 cm (c) 3 cm (d) 6 cm
- 8.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 11 cm (b) 99 cm (c) 10 cm (d) 20 cm
- 9.A rectangle is 20 cm long and 5 cm wide. What is its perimeter? (a) 100 cm (b) 50 cm (c) 45 cm (d) 25 cm
- 10.A rectangle is 20 cm long and 11 cm wide. What is its area? (a) 240 sq cm (b) 220 sq cm (c) 62 sq cm (d) 31 sq cm
- 11.A rectangle is 19 cm long and 4 cm wide. What is its perimeter? (a) 76 cm (b) 23 cm (c) 42 cm (d) 46 cm
- 12.A rectangle has an area of 65 sq cm and a length of 13 cm. What is its width? (a) 52 cm (b) 6 cm (c) 5 cm (d) 10 cm
- 13.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 8 cm (b) 14 cm (c) 16 cm (d) 12 cm
- 14.A rectangle is 13 cm long and 11 cm wide. What is its area? (a) 143 sq cm (b) 156 sq cm (c) 24 sq cm (d) 48 sq cm
- 15.A rectangle is 12 cm long and 8 cm wide. What is its area? (a) 108 sq cm (b) 96 sq cm (c) 40 sq cm (d) 20 sq cm
- 16.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
- 17.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 56 sq cm (c) 225 sq cm (d) 28 sq cm
- 18.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 144 sq cm (c) 44 sq cm (d) 22 sq cm
- 19.A rectangle is 14 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 42 sq cm (d) 28 sq cm
- 20.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 17 sq cm (b) 56 sq cm (c) 42 sq cm (d) 34 sq cm
- 21.A rectangle is 15 cm long and 7 cm wide. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 120 sq cm (d) 105 sq cm
- 22.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 26 sq cm (c) 169 sq cm (d) 52 sq cm
- 23.A rectangle has an area of 12 sq cm and a length of 6 cm. What is its width? (a) 3 cm (b) 6 cm (c) 4 cm (d) 2 cm
- 24.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 18 cm (b) 10 cm (c) 9 cm (d) 96 cm
- 25.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 48 sq cm (b) 56 sq cm (c) 14 sq cm (d) 28 sq cm
- 26.A rectangle has an area of 126 sq cm and a length of 18 cm. What is its width? (a) 14 cm (b) 108 cm (c) 7 cm (d) 8 cm
- 27.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 48 sq cm (c) 24 sq cm (d) 144 sq cm
- 28.A rectangle is 13 cm long and 5 cm wide. What is its perimeter? (a) 65 cm (b) 36 cm (c) 31 cm (d) 18 cm
- 29.A rectangle has an area of 144 sq cm and a length of 16 cm. What is its width? (a) 18 cm (b) 128 cm (c) 9 cm (d) 10 cm
- 30.A rectangle has an area of 77 sq cm and a length of 11 cm. What is its width? (a) 66 cm (b) 7 cm (c) 8 cm (d) 14 cm
- 31.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 22 cm (b) 13 cm (c) 26 cm (d) 36 cm
- 32.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 22 sq cm (c) 11 sq cm (d) 27 sq cm
- 33.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 14 sq cm (b) 24 sq cm (c) 28 sq cm (d) 36 sq cm
- 34.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 35 sq cm (b) 24 sq cm (c) 42 sq cm (d) 12 sq cm
- 35.A rectangle is 18 cm long and 9 cm wide. What is its perimeter? (a) 45 cm (b) 162 cm (c) 54 cm (d) 27 cm
- 36.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 30 sq cm (b) 11 sq cm (c) 36 sq cm (d) 22 sq cm
- 37.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
- 38.A rectangle has an area of 198 sq cm and a length of 18 cm. What is its width? (a) 22 cm (b) 12 cm (c) 11 cm (d) 180 cm
- 39.A rectangle has an area of 153 sq cm and a length of 17 cm. What is its width? (a) 18 cm (b) 9 cm (c) 10 cm (d) 136 cm
- 40.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 22 sq cm (b) 32 sq cm (c) 24 sq cm (d) 11 sq cm
Answer key
- 48 cm
- 81 sq cm
- 28 cm
- 36 cm
- 25 sq cm
- 56 sq cm
- 3 cm
- 10 cm
- 50 cm
- 220 sq cm
- 46 cm
- 5 cm
- 16 cm
- 143 sq cm
- 96 sq cm
- 36 sq cm
- 196 sq cm
- 121 sq cm
- 28 sq cm
- 42 sq cm
- 105 sq cm
- 169 sq cm
- 2 cm
- 9 cm
- 48 sq cm
- 7 cm
- 144 sq cm
- 36 cm
- 9 cm
- 7 cm
- 26 cm
- 18 sq cm
- 24 sq cm
- 35 sq cm
- 54 cm
- 30 sq cm
- 12 cm
- 11 cm
- 9 cm
- 24 sq cm
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