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 136 sq cm and a length of 17 cm. What is its width? (a) 9 cm (b) 16 cm (c) 119 cm (d) 8 cm
- 2.A rectangle is 20 cm long and 2 cm wide. What is its perimeter? (a) 40 cm (b) 42 cm (c) 22 cm (d) 44 cm
- 3.A rectangle is 14 cm long and 4 cm wide. What is its area? (a) 18 sq cm (b) 56 sq cm (c) 70 sq cm (d) 36 sq cm
- 4.A rectangle has an area of 192 sq cm and a length of 16 cm. What is its width? (a) 12 cm (b) 176 cm (c) 13 cm (d) 24 cm
- 5.A rectangle is 18 cm long and 10 cm wide. What is its area? (a) 56 sq cm (b) 180 sq cm (c) 198 sq cm (d) 28 sq cm
- 6.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 225 sq cm (d) 196 sq cm
- 7.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 121 sq cm (c) 100 sq cm (d) 40 sq cm
- 8.A rectangle is 13 cm long and 6 cm wide. What is its perimeter? (a) 19 cm (b) 32 cm (c) 78 cm (d) 38 cm
- 9.A rectangle is 13 cm long and 5 cm wide. What is its perimeter? (a) 31 cm (b) 65 cm (c) 36 cm (d) 18 cm
- 10.A rectangle has an area of 45 sq cm and a length of 15 cm. What is its width? (a) 4 cm (b) 6 cm (c) 30 cm (d) 3 cm
- 11.A rectangle is 15 cm long and 6 cm wide. What is its area? (a) 105 sq cm (b) 42 sq cm (c) 21 sq cm (d) 90 sq cm
- 12.A rectangle is 16 cm long and 8 cm wide. What is its area? (a) 48 sq cm (b) 144 sq cm (c) 24 sq cm (d) 128 sq cm
- 13.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 32 sq cm (c) 11 sq cm (d) 22 sq cm
- 14.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 225 sq cm (d) 256 sq cm
- 15.A rectangle is 11 cm long and 9 cm wide. What is its area? (a) 40 sq cm (b) 99 sq cm (c) 20 sq cm (d) 110 sq cm
- 16.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 96 cm (b) 18 cm (c) 10 cm (d) 9 cm
- 17.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 10 sq cm (c) 36 sq cm (d) 20 sq cm
- 18.A rectangle has an area of 90 sq cm and a length of 10 cm. What is its width? (a) 18 cm (b) 80 cm (c) 9 cm (d) 10 cm
- 19.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 49 sq cm (c) 64 sq cm (d) 28 sq cm
- 20.A rectangle is 19 cm long and 4 cm wide. What is its area? (a) 76 sq cm (b) 46 sq cm (c) 23 sq cm (d) 95 sq cm
- 21.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 121 sq cm (d) 144 sq cm
- 22.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 45 sq cm (d) 54 sq cm
- 23.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
- 24.A rectangle is 20 cm long and 9 cm wide. What is its area? (a) 29 sq cm (b) 58 sq cm (c) 180 sq cm (d) 200 sq cm
- 25.A rectangle is 16 cm long and 6 cm wide. What is its perimeter? (a) 44 cm (b) 96 cm (c) 22 cm (d) 38 cm
- 26.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 15 sq cm (b) 30 sq cm (c) 56 sq cm (d) 64 sq cm
- 27.A rectangle is 20 cm long and 11 cm wide. What is its perimeter? (a) 31 cm (b) 51 cm (c) 62 cm (d) 220 cm
- 28.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 30 sq cm (b) 15 sq cm (c) 63 sq cm (d) 54 sq cm
- 29.A rectangle has an area of 119 sq cm and a length of 17 cm. What is its width? (a) 8 cm (b) 7 cm (c) 14 cm (d) 102 cm
- 30.A rectangle is 13 cm long and 6 cm wide. What is its area? (a) 38 sq cm (b) 91 sq cm (c) 78 sq cm (d) 19 sq cm
- 31.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 16 sq cm (c) 81 sq cm (d) 32 sq cm
- 32.A rectangle has an area of 220 sq cm and a length of 20 cm. What is its width? (a) 11 cm (b) 22 cm (c) 12 cm (d) 200 cm
- 33.A rectangle has an area of 42 sq cm and a length of 14 cm. What is its width? (a) 3 cm (b) 4 cm (c) 6 cm (d) 28 cm
- 34.A rectangle is 20 cm long and 12 cm wide. What is its area? (a) 32 sq cm (b) 240 sq cm (c) 64 sq cm (d) 260 sq cm
- 35.A rectangle has an area of 140 sq cm and a length of 20 cm. What is its width? (a) 8 cm (b) 120 cm (c) 14 cm (d) 7 cm
- 36.A rectangle is 13 cm long and 3 cm wide. What is its perimeter? (a) 39 cm (b) 29 cm (c) 32 cm (d) 16 cm
- 37.A rectangle has an area of 171 sq cm and a length of 19 cm. What is its width? (a) 18 cm (b) 9 cm (c) 10 cm (d) 152 cm
- 38.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 24 cm (b) 165 cm (c) 13 cm (d) 12 cm
- 39.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 14 sq cm (b) 18 sq cm (c) 21 sq cm (d) 9 sq cm
- 40.A rectangle is 11 cm long and 6 cm wide. What is its area? (a) 66 sq cm (b) 77 sq cm (c) 34 sq cm (d) 17 sq cm
Answer key
- 8 cm
- 44 cm
- 56 sq cm
- 12 cm
- 180 sq cm
- 196 sq cm
- 100 sq cm
- 38 cm
- 36 cm
- 3 cm
- 90 sq cm
- 128 sq cm
- 24 sq cm
- 225 sq cm
- 99 sq cm
- 9 cm
- 25 sq cm
- 9 cm
- 49 sq cm
- 76 sq cm
- 121 sq cm
- 45 sq cm
- 170 sq cm
- 180 sq cm
- 44 cm
- 56 sq cm
- 62 cm
- 54 sq cm
- 7 cm
- 78 sq cm
- 64 sq cm
- 11 cm
- 3 cm
- 240 sq cm
- 7 cm
- 32 cm
- 9 cm
- 12 cm
- 14 sq cm
- 66 sq cm
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