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 44 cm. What is its area? (a) 144 sq cm (b) 22 sq cm (c) 44 sq cm (d) 121 sq cm
- 2.A rectangle has an area of 60 sq cm and a length of 15 cm. What is its width? (a) 8 cm (b) 45 cm (c) 4 cm (d) 5 cm
- 3.A rectangle is 12 cm long and 10 cm wide. What is its area? (a) 22 sq cm (b) 120 sq cm (c) 132 sq cm (d) 44 sq cm
- 4.A rectangle is 15 cm long and 4 cm wide. What is its area? (a) 75 sq cm (b) 19 sq cm (c) 60 sq cm (d) 38 sq cm
- 5.A rectangle has an area of 36 sq cm and a length of 9 cm. What is its width? (a) 27 cm (b) 8 cm (c) 5 cm (d) 4 cm
- 6.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 24 cm (b) 13 cm (c) 12 cm (d) 198 cm
- 7.A rectangle has an area of 32 sq cm and a length of 16 cm. What is its width? (a) 16 cm (b) 3 cm (c) 2 cm (d) 4 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 rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 14 cm (c) 12 cm (d) 8 cm
- 10.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 48 sq cm (b) 14 sq cm (c) 28 sq cm (d) 56 sq cm
- 11.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 49 sq cm (b) 13 sq cm (c) 26 sq cm (d) 42 sq cm
- 12.A rectangle has an area of 90 sq cm and a length of 10 cm. What is its width? (a) 18 cm (b) 10 cm (c) 80 cm (d) 9 cm
- 13.A rectangle is 12 cm long and 11 cm wide. What is its perimeter? (a) 132 cm (b) 46 cm (c) 35 cm (d) 23 cm
- 14.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
- 15.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
- 16.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 144 sq cm (d) 169 sq cm
- 17.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 12 sq cm (b) 16 sq cm (c) 8 sq cm (d) 18 sq cm
- 18.A rectangle is 17 cm long and 7 cm wide. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 119 sq cm (d) 136 sq cm
- 19.A rectangle has an area of 64 sq cm and a length of 16 cm. What is its width? (a) 48 cm (b) 4 cm (c) 8 cm (d) 5 cm
- 20.A rectangle is 16 cm long and 2 cm wide. What is its area? (a) 36 sq cm (b) 48 sq cm (c) 32 sq cm (d) 18 sq cm
- 21.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 19 sq cm (b) 38 sq cm (c) 90 sq cm (d) 100 sq cm
- 22.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 19 cm (b) 11 cm (c) 24 cm (d) 22 cm
- 23.A rectangle is 19 cm long and 3 cm wide. What is its perimeter? (a) 22 cm (b) 44 cm (c) 41 cm (d) 57 cm
- 24.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 24 cm (b) 13 cm (c) 187 cm (d) 12 cm
- 25.A rectangle is 17 cm long and 3 cm wide. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 68 sq cm (d) 51 sq cm
- 26.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 14 cm (b) 45 cm (c) 23 cm (d) 28 cm
- 27.A rectangle has an area of 119 sq cm and a length of 17 cm. What is its width? (a) 14 cm (b) 8 cm (c) 102 cm (d) 7 cm
- 28.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 9 cm (b) 18 cm (c) 14 cm (d) 16 cm
- 29.A rectangle is 14 cm long and 11 cm wide. What is its perimeter? (a) 154 cm (b) 25 cm (c) 50 cm (d) 39 cm
- 30.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 24 sq cm (c) 36 sq cm (d) 12 sq cm
- 31.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
- 32.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 100 sq cm (c) 40 sq cm (d) 20 sq cm
- 33.A rectangle is 14 cm long and 8 cm wide. What is its perimeter? (a) 36 cm (b) 112 cm (c) 22 cm (d) 44 cm
- 34.A rectangle has an area of 192 sq cm and a length of 16 cm. What is its width? (a) 176 cm (b) 12 cm (c) 24 cm (d) 13 cm
- 35.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
- 36.A rectangle is 14 cm long and 6 cm wide. What is its area? (a) 84 sq cm (b) 40 sq cm (c) 98 sq cm (d) 20 sq cm
- 37.A rectangle is 16 cm long and 9 cm wide. What is its area? (a) 25 sq cm (b) 144 sq cm (c) 160 sq cm (d) 50 sq cm
- 38.A rectangle has an area of 95 sq cm and a length of 19 cm. What is its width? (a) 76 cm (b) 6 cm (c) 10 cm (d) 5 cm
- 39.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 54 sq cm (b) 45 sq cm (c) 14 sq cm (d) 28 sq cm
- 40.A rectangle is 11 cm long and 4 cm wide. What is its area? (a) 30 sq cm (b) 55 sq cm (c) 44 sq cm (d) 15 sq cm
Answer key
- 121 sq cm
- 4 cm
- 120 sq cm
- 60 sq cm
- 4 cm
- 12 cm
- 2 cm
- 169 sq cm
- 16 cm
- 48 sq cm
- 42 sq cm
- 9 cm
- 46 cm
- 30 sq cm
- 128 sq cm
- 144 sq cm
- 12 sq cm
- 119 sq cm
- 4 cm
- 32 sq cm
- 90 sq cm
- 22 cm
- 44 cm
- 12 cm
- 51 sq cm
- 28 cm
- 7 cm
- 18 cm
- 50 cm
- 36 sq cm
- 25 sq cm
- 100 sq cm
- 44 cm
- 12 cm
- 196 sq cm
- 84 sq cm
- 144 sq cm
- 5 cm
- 45 sq cm
- 44 sq cm
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