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 12 sq cm and a length of 4 cm. What is its width? (a) 6 cm (b) 3 cm (c) 8 cm (d) 4 cm
- 2.A rectangle is 12 cm long and 11 cm wide. What is its perimeter? (a) 35 cm (b) 23 cm (c) 46 cm (d) 132 cm
- 3.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
- 4.A rectangle is 17 cm long and 3 cm wide. What is its area? (a) 40 sq cm (b) 68 sq cm (c) 51 sq cm (d) 20 sq cm
- 5.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 99 cm (b) 20 cm (c) 11 cm (d) 10 cm
- 6.A rectangle has an area of 84 sq cm and a length of 14 cm. What is its width? (a) 70 cm (b) 7 cm (c) 12 cm (d) 6 cm
- 7.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 20 cm (b) 10 cm (c) 11 cm (d) 108 cm
- 8.A rectangle is 18 cm long and 12 cm wide. What is its perimeter? (a) 216 cm (b) 30 cm (c) 48 cm (d) 60 cm
- 9.A rectangle has an area of 36 sq cm and a length of 12 cm. What is its width? (a) 4 cm (b) 3 cm (c) 6 cm (d) 24 cm
- 10.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 21 sq cm (b) 28 sq cm (c) 10 sq cm (d) 20 sq cm
- 11.A rectangle has an area of 171 sq cm and a length of 19 cm. What is its width? (a) 18 cm (b) 10 cm (c) 152 cm (d) 9 cm
- 12.A rectangle is 19 cm long and 3 cm wide. What is its area? (a) 22 sq cm (b) 57 sq cm (c) 76 sq cm (d) 44 sq cm
- 13.A rectangle is 15 cm long and 7 cm wide. What is its perimeter? (a) 22 cm (b) 37 cm (c) 44 cm (d) 105 cm
- 14.A rectangle is 17 cm long and 10 cm wide. What is its area? (a) 27 sq cm (b) 54 sq cm (c) 187 sq cm (d) 170 sq cm
- 15.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 60 sq cm (c) 225 sq cm (d) 256 sq cm
- 16.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 24 cm (b) 54 cm (c) 15 cm (d) 30 cm
- 17.A rectangle is 17 cm long and 2 cm wide. What is its perimeter? (a) 19 cm (b) 38 cm (c) 34 cm (d) 36 cm
- 18.A rectangle is 16 cm long and 7 cm wide. What is its area? (a) 112 sq cm (b) 23 sq cm (c) 128 sq cm (d) 46 sq cm
- 19.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 72 sq cm (b) 16 sq cm (c) 63 sq cm (d) 32 sq cm
- 20.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
- 21.A rectangle is 17 cm long and 2 cm wide. What is its area? (a) 34 sq cm (b) 38 sq cm (c) 19 sq cm (d) 51 sq cm
- 22.A rectangle is 14 cm long and 6 cm wide. What is its area? (a) 98 sq cm (b) 84 sq cm (c) 40 sq cm (d) 20 sq cm
- 23.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
- 24.A rectangle is 15 cm long and 8 cm wide. What is its perimeter? (a) 120 cm (b) 46 cm (c) 23 cm (d) 38 cm
- 25.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
- 26.A rectangle is 14 cm long and 12 cm wide. What is its perimeter? (a) 26 cm (b) 52 cm (c) 40 cm (d) 168 cm
- 27.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 10 cm (c) 16 cm (d) 18 cm
- 28.A rectangle has an area of 15 sq cm and a length of 5 cm. What is its width? (a) 3 cm (b) 6 cm (c) 10 cm (d) 4 cm
- 29.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 169 sq cm (c) 26 sq cm (d) 196 sq cm
- 30.A rectangle is 16 cm long and 9 cm wide. What is its perimeter? (a) 144 cm (b) 50 cm (c) 41 cm (d) 25 cm
- 31.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 144 sq cm (c) 169 sq cm (d) 48 sq cm
- 32.A rectangle is 18 cm long and 5 cm wide. What is its perimeter? (a) 23 cm (b) 41 cm (c) 90 cm (d) 46 cm
- 33.A rectangle is 16 cm long and 9 cm wide. What is its area? (a) 50 sq cm (b) 144 sq cm (c) 160 sq cm (d) 25 sq cm
- 34.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
- 35.A rectangle is 14 cm long and 9 cm wide. What is its area? (a) 126 sq cm (b) 46 sq cm (c) 23 sq cm (d) 140 sq cm
- 36.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 15 sq cm (b) 30 sq cm (c) 64 sq cm (d) 56 sq cm
- 37.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 60 sq cm (b) 15 sq cm (c) 30 sq cm (d) 50 sq cm
- 38.A rectangle is 18 cm long and 9 cm wide. What is its area? (a) 180 sq cm (b) 54 sq cm (c) 162 sq cm (d) 27 sq cm
- 39.A rectangle is 17 cm long and 3 cm wide. What is its perimeter? (a) 51 cm (b) 37 cm (c) 40 cm (d) 20 cm
- 40.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 44 sq cm (c) 144 sq cm (d) 121 sq cm
Answer key
- 3 cm
- 46 cm
- 25 sq cm
- 51 sq cm
- 10 cm
- 6 cm
- 10 cm
- 60 cm
- 3 cm
- 21 sq cm
- 9 cm
- 57 sq cm
- 44 cm
- 170 sq cm
- 225 sq cm
- 30 cm
- 38 cm
- 112 sq cm
- 63 sq cm
- 54 sq cm
- 34 sq cm
- 84 sq cm
- 24 sq cm
- 46 cm
- 49 sq cm
- 52 cm
- 20 cm
- 3 cm
- 169 sq cm
- 50 cm
- 144 sq cm
- 46 cm
- 144 sq cm
- 64 sq cm
- 126 sq cm
- 56 sq cm
- 50 sq cm
- 162 sq cm
- 40 cm
- 121 sq cm
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