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 has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 20 cm (b) 108 cm (c) 11 cm (d) 10 cm
- 2.A rectangle has an area of 60 sq cm and a length of 20 cm. What is its width? (a) 40 cm (b) 4 cm (c) 3 cm (d) 6 cm
- 3.A rectangle has an area of 34 sq cm and a length of 17 cm. What is its width? (a) 3 cm (b) 2 cm (c) 17 cm (d) 4 cm
- 4.A rectangle has an area of 180 sq cm and a length of 18 cm. What is its width? (a) 11 cm (b) 10 cm (c) 162 cm (d) 20 cm
- 5.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 15 sq cm (b) 54 sq cm (c) 30 sq cm (d) 63 sq cm
- 6.A rectangle is 20 cm long and 3 cm wide. What is its perimeter? (a) 23 cm (b) 60 cm (c) 43 cm (d) 46 cm
- 7.A rectangle is 19 cm long and 3 cm wide. What is its area? (a) 57 sq cm (b) 22 sq cm (c) 44 sq cm (d) 76 sq cm
- 8.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
- 9.A rectangle is 10 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 28 cm (c) 14 cm (d) 40 cm
- 10.A rectangle is 18 cm long and 10 cm wide. What is its perimeter? (a) 180 cm (b) 56 cm (c) 46 cm (d) 28 cm
- 11.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 12 sq cm (c) 8 sq cm (d) 16 sq cm
- 12.A rectangle is 20 cm long and 7 cm wide. What is its area? (a) 27 sq cm (b) 54 sq cm (c) 160 sq cm (d) 140 sq cm
- 13.A rectangle has an area of 133 sq cm and a length of 19 cm. What is its width? (a) 7 cm (b) 8 cm (c) 114 cm (d) 14 cm
- 14.A rectangle is 13 cm long and 3 cm wide. What is its area? (a) 39 sq cm (b) 52 sq cm (c) 16 sq cm (d) 32 sq cm
- 15.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 64 sq cm (c) 32 sq cm (d) 81 sq cm
- 16.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 35 cm (b) 24 cm (c) 19 cm (d) 12 cm
- 17.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 12 sq cm (b) 30 sq cm (c) 20 sq cm (d) 24 sq cm
- 18.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 9 sq cm (b) 18 sq cm (c) 14 sq cm (d) 21 sq cm
- 19.A rectangle is 10 cm long and 8 cm wide. What is its perimeter? (a) 18 cm (b) 28 cm (c) 80 cm (d) 36 cm
- 20.A rectangle is 16 cm long and 3 cm wide. What is its perimeter? (a) 38 cm (b) 19 cm (c) 48 cm (d) 35 cm
- 21.A rectangle has an area of 176 sq cm and a length of 16 cm. What is its width? (a) 12 cm (b) 160 cm (c) 22 cm (d) 11 cm
- 22.A rectangle is 15 cm long and 5 cm wide. What is its area? (a) 20 sq cm (b) 90 sq cm (c) 40 sq cm (d) 75 sq cm
- 23.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 13 cm (b) 154 cm (c) 24 cm (d) 12 cm
- 24.A rectangle is 16 cm long and 7 cm wide. What is its area? (a) 112 sq cm (b) 46 sq cm (c) 23 sq cm (d) 128 sq cm
- 25.A rectangle has an area of 36 sq cm and a length of 9 cm. What is its width? (a) 4 cm (b) 27 cm (c) 8 cm (d) 5 cm
- 26.A rectangle is 18 cm long and 4 cm wide. What is its perimeter? (a) 72 cm (b) 22 cm (c) 40 cm (d) 44 cm
- 27.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 10 cm (b) 18 cm (c) 88 cm (d) 9 cm
- 28.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 22 cm (b) 130 cm (c) 12 cm (d) 11 cm
- 29.A rectangle is 12 cm long and 7 cm wide. What is its perimeter? (a) 19 cm (b) 31 cm (c) 84 cm (d) 38 cm
- 30.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 21 sq cm (b) 10 sq cm (c) 20 sq cm (d) 28 sq cm
- 31.A rectangle has an area of 77 sq cm and a length of 11 cm. What is its width? (a) 14 cm (b) 66 cm (c) 7 cm (d) 8 cm
- 32.A rectangle has an area of 70 sq cm and a length of 10 cm. What is its width? (a) 7 cm (b) 60 cm (c) 8 cm (d) 14 cm
- 33.A rectangle is 16 cm long and 7 cm wide. What is its perimeter? (a) 23 cm (b) 112 cm (c) 39 cm (d) 46 cm
- 34.A rectangle has an area of 220 sq cm and a length of 20 cm. What is its width? (a) 11 cm (b) 200 cm (c) 22 cm (d) 12 cm
- 35.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 28 cm (b) 22 cm (c) 14 cm (d) 48 cm
- 36.A rectangle has an area of 42 sq cm and a length of 7 cm. What is its width? (a) 12 cm (b) 6 cm (c) 35 cm (d) 7 cm
- 37.A rectangle is 18 cm long and 11 cm wide. What is its area? (a) 29 sq cm (b) 198 sq cm (c) 216 sq cm (d) 58 sq cm
- 38.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 32 sq cm (b) 40 sq cm (c) 24 sq cm (d) 12 sq cm
- 39.A rectangle is 17 cm long and 10 cm wide. What is its perimeter? (a) 170 cm (b) 27 cm (c) 44 cm (d) 54 cm
- 40.A rectangle is 19 cm long and 9 cm wide. What is its area? (a) 171 sq cm (b) 190 sq cm (c) 28 sq cm (d) 56 sq cm
Answer key
- 10 cm
- 3 cm
- 2 cm
- 10 cm
- 54 sq cm
- 46 cm
- 57 sq cm
- 36 sq cm
- 28 cm
- 56 cm
- 12 sq cm
- 140 sq cm
- 7 cm
- 39 sq cm
- 64 sq cm
- 24 cm
- 20 sq cm
- 14 sq cm
- 36 cm
- 38 cm
- 11 cm
- 75 sq cm
- 12 cm
- 112 sq cm
- 4 cm
- 44 cm
- 9 cm
- 11 cm
- 38 cm
- 21 sq cm
- 7 cm
- 7 cm
- 46 cm
- 11 cm
- 28 cm
- 6 cm
- 198 sq cm
- 32 sq cm
- 54 cm
- 171 sq cm
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