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) 121 sq cm (b) 44 sq cm (c) 144 sq cm (d) 22 sq cm
- 2.A rectangle is 17 cm long and 3 cm wide. What is its perimeter? (a) 20 cm (b) 40 cm (c) 51 cm (d) 37 cm
- 3.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 256 sq cm (c) 30 sq cm (d) 225 sq cm
- 4.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 12 sq cm (c) 49 sq cm (d) 24 sq cm
- 5.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 30 sq cm (b) 54 sq cm (c) 15 sq cm (d) 63 sq cm
- 6.A rectangle has an area of 91 sq cm and a length of 13 cm. What is its width? (a) 7 cm (b) 8 cm (c) 14 cm (d) 78 cm
- 7.A rectangle has an area of 65 sq cm and a length of 13 cm. What is its width? (a) 6 cm (b) 52 cm (c) 5 cm (d) 10 cm
- 8.A rectangle has an area of 120 sq cm and a length of 20 cm. What is its width? (a) 7 cm (b) 100 cm (c) 12 cm (d) 6 cm
- 9.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 81 sq cm (c) 100 sq cm (d) 36 sq cm
- 10.A rectangle has an area of 187 sq cm and a length of 17 cm. What is its width? (a) 12 cm (b) 22 cm (c) 11 cm (d) 170 cm
- 11.A rectangle is 16 cm long and 3 cm wide. What is its perimeter? (a) 19 cm (b) 35 cm (c) 48 cm (d) 38 cm
- 12.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 56 sq cm (c) 28 sq cm (d) 196 sq cm
- 13.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 88 cm (b) 18 cm (c) 10 cm (d) 9 cm
- 14.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 18 cm (c) 16 cm (d) 10 cm
- 15.A rectangle has an area of 220 sq cm and a length of 20 cm. What is its width? (a) 12 cm (b) 200 cm (c) 22 cm (d) 11 cm
- 16.A rectangle is 14 cm long and 11 cm wide. What is its area? (a) 50 sq cm (b) 25 sq cm (c) 154 sq cm (d) 168 sq cm
- 17.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 190 cm (b) 11 cm (c) 22 cm (d) 12 cm
- 18.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 26 cm (b) 34 cm (c) 72 cm (d) 17 cm
- 19.A rectangle is 14 cm long and 11 cm wide. What is its perimeter? (a) 154 cm (b) 25 cm (c) 39 cm (d) 50 cm
- 20.A rectangle has an area of 80 sq cm and a length of 20 cm. What is its width? (a) 8 cm (b) 60 cm (c) 5 cm (d) 4 cm
- 21.A rectangle is 15 cm long and 6 cm wide. What is its area? (a) 105 sq cm (b) 90 sq cm (c) 21 sq cm (d) 42 sq cm
- 22.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 64 sq cm (d) 81 sq cm
- 23.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 52 sq cm (c) 26 sq cm (d) 196 sq cm
- 24.A rectangle is 13 cm long and 9 cm wide. What is its perimeter? (a) 35 cm (b) 22 cm (c) 117 cm (d) 44 cm
- 25.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 11 cm (b) 150 cm (c) 22 cm (d) 12 cm
- 26.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 12 cm (b) 24 cm (c) 20 cm (d) 22 cm
- 27.A rectangle is 13 cm long and 10 cm wide. What is its area? (a) 143 sq cm (b) 130 sq cm (c) 46 sq cm (d) 23 sq cm
- 28.A rectangle is 14 cm long and 9 cm wide. What is its area? (a) 23 sq cm (b) 140 sq cm (c) 46 sq cm (d) 126 sq cm
- 29.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 36 sq cm (d) 25 sq cm
- 30.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 21 sq cm (b) 14 sq cm (c) 9 sq cm (d) 18 sq cm
- 31.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 15 cm (b) 18 cm (c) 9 cm (d) 19 cm
- 32.A rectangle has an area of 51 sq cm and a length of 17 cm. What is its width? (a) 6 cm (b) 34 cm (c) 3 cm (d) 4 cm
- 33.A rectangle is 15 cm long and 11 cm wide. What is its area? (a) 165 sq cm (b) 52 sq cm (c) 180 sq cm (d) 26 sq cm
- 34.A rectangle is 15 cm long and 8 cm wide. What is its perimeter? (a) 38 cm (b) 23 cm (c) 120 cm (d) 46 cm
- 35.A rectangle is 17 cm long and 9 cm wide. What is its area? (a) 26 sq cm (b) 52 sq cm (c) 153 sq cm (d) 170 sq cm
- 36.A rectangle is 19 cm long and 10 cm wide. What is its perimeter? (a) 58 cm (b) 190 cm (c) 29 cm (d) 48 cm
- 37.A rectangle is 15 cm long and 9 cm wide. What is its area? (a) 24 sq cm (b) 135 sq cm (c) 150 sq cm (d) 48 sq cm
- 38.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 48 sq cm (b) 28 sq cm (c) 56 sq cm (d) 14 sq cm
- 39.A rectangle has an area of 112 sq cm and a length of 16 cm. What is its width? (a) 7 cm (b) 14 cm (c) 96 cm (d) 8 cm
- 40.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 26 sq cm (b) 40 sq cm (c) 13 sq cm (d) 48 sq cm
Answer key
- 121 sq cm
- 40 cm
- 225 sq cm
- 36 sq cm
- 54 sq cm
- 7 cm
- 5 cm
- 6 cm
- 81 sq cm
- 11 cm
- 38 cm
- 196 sq cm
- 9 cm
- 20 cm
- 11 cm
- 154 sq cm
- 11 cm
- 34 cm
- 50 cm
- 4 cm
- 90 sq cm
- 64 sq cm
- 169 sq cm
- 44 cm
- 11 cm
- 24 cm
- 130 sq cm
- 126 sq cm
- 25 sq cm
- 14 sq cm
- 18 cm
- 3 cm
- 165 sq cm
- 46 cm
- 153 sq cm
- 58 cm
- 135 sq cm
- 48 sq cm
- 7 cm
- 40 sq cm
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