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 18 cm long and 3 cm wide. What is its area? (a) 54 sq cm (b) 42 sq cm (c) 21 sq cm (d) 72 sq cm
- 2.A rectangle has an area of 54 sq cm and a length of 9 cm. What is its width? (a) 45 cm (b) 12 cm (c) 6 cm (d) 7 cm
- 3.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 30 cm (b) 24 cm (c) 15 cm (d) 54 cm
- 4.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 100 sq cm (c) 121 sq cm (d) 20 sq cm
- 5.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 9 sq cm (b) 21 sq cm (c) 18 sq cm (d) 14 sq cm
- 6.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 10 sq cm (c) 20 sq cm (d) 30 sq cm
- 7.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 28 sq cm (b) 21 sq cm (c) 10 sq cm (d) 20 sq cm
- 8.A rectangle has an area of 78 sq cm and a length of 13 cm. What is its width? (a) 7 cm (b) 6 cm (c) 12 cm (d) 65 cm
- 9.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 36 sq cm (c) 20 sq cm (d) 25 sq cm
- 10.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 44 sq cm (c) 22 sq cm (d) 121 sq cm
- 11.A rectangle is 12 cm long and 3 cm wide. What is its area? (a) 30 sq cm (b) 15 sq cm (c) 48 sq cm (d) 36 sq cm
- 12.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 49 sq cm (d) 64 sq cm
- 13.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 13 cm (b) 198 cm (c) 12 cm (d) 24 cm
- 14.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 256 sq cm (c) 225 sq cm (d) 60 sq cm
- 15.A rectangle is 18 cm long and 10 cm wide. What is its area? (a) 28 sq cm (b) 180 sq cm (c) 56 sq cm (d) 198 sq cm
- 16.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 35 sq cm (b) 22 sq cm (c) 11 sq cm (d) 28 sq cm
- 17.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 225 sq cm (c) 196 sq cm (d) 56 sq cm
- 18.A rectangle has an area of 150 sq cm and a length of 15 cm. What is its width? (a) 20 cm (b) 11 cm (c) 10 cm (d) 135 cm
- 19.A rectangle has an area of 30 sq cm and a length of 6 cm. What is its width? (a) 24 cm (b) 6 cm (c) 5 cm (d) 10 cm
- 20.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 144 sq cm (c) 48 sq cm (d) 169 sq cm
- 21.A rectangle is 13 cm long and 2 cm wide. What is its perimeter? (a) 30 cm (b) 28 cm (c) 26 cm (d) 15 cm
- 22.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 9 sq cm (b) 24 sq cm (c) 19 sq cm (d) 18 sq cm
- 23.A rectangle is 15 cm long and 3 cm wide. What is its perimeter? (a) 33 cm (b) 36 cm (c) 18 cm (d) 45 cm
- 24.A rectangle has an area of 135 sq cm and a length of 15 cm. What is its width? (a) 120 cm (b) 10 cm (c) 18 cm (d) 9 cm
- 25.A rectangle is 17 cm long and 8 cm wide. What is its area? (a) 50 sq cm (b) 25 sq cm (c) 136 sq cm (d) 153 sq cm
- 26.A rectangle is 12 cm long and 11 cm wide. What is its perimeter? (a) 35 cm (b) 23 cm (c) 132 cm (d) 46 cm
- 27.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 54 sq cm (b) 45 sq cm (c) 28 sq cm (d) 14 sq cm
- 28.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 18 cm (b) 19 cm (c) 9 cm (d) 15 cm
- 29.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 42 sq cm (b) 104 sq cm (c) 117 sq cm (d) 21 sq cm
- 30.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
- 31.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 100 sq cm (c) 81 sq cm (d) 36 sq cm
- 32.A rectangle is 17 cm long and 10 cm wide. What is its perimeter? (a) 27 cm (b) 54 cm (c) 44 cm (d) 170 cm
- 33.A rectangle is 19 cm long and 5 cm wide. What is its perimeter? (a) 43 cm (b) 95 cm (c) 24 cm (d) 48 cm
- 34.A rectangle has an area of 57 sq cm and a length of 19 cm. What is its width? (a) 4 cm (b) 3 cm (c) 6 cm (d) 38 cm
- 35.A rectangle has an area of 160 sq cm and a length of 20 cm. What is its width? (a) 8 cm (b) 140 cm (c) 16 cm (d) 9 cm
- 36.A rectangle is 13 cm long and 3 cm wide. What is its area? (a) 52 sq cm (b) 32 sq cm (c) 16 sq cm (d) 39 sq cm
- 37.A rectangle has an area of 84 sq cm and a length of 14 cm. What is its width? (a) 6 cm (b) 12 cm (c) 7 cm (d) 70 cm
- 38.A rectangle is 11 cm long and 5 cm wide. What is its area? (a) 55 sq cm (b) 16 sq cm (c) 32 sq cm (d) 66 sq cm
- 39.A rectangle has an area of 108 sq cm and a length of 18 cm. What is its width? (a) 90 cm (b) 6 cm (c) 7 cm (d) 12 cm
- 40.A rectangle is 10 cm long and 6 cm wide. What is its perimeter? (a) 60 cm (b) 32 cm (c) 26 cm (d) 16 cm
Answer key
- 54 sq cm
- 6 cm
- 30 cm
- 100 sq cm
- 14 sq cm
- 24 sq cm
- 21 sq cm
- 6 cm
- 25 sq cm
- 121 sq cm
- 36 sq cm
- 49 sq cm
- 12 cm
- 225 sq cm
- 180 sq cm
- 28 sq cm
- 196 sq cm
- 10 cm
- 5 cm
- 144 sq cm
- 30 cm
- 18 sq cm
- 36 cm
- 9 cm
- 136 sq cm
- 46 cm
- 45 sq cm
- 18 cm
- 104 sq cm
- 36 sq cm
- 81 sq cm
- 54 cm
- 48 cm
- 3 cm
- 8 cm
- 39 sq cm
- 6 cm
- 55 sq cm
- 6 cm
- 32 cm
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