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 32 cm. What is its area? (a) 81 sq cm (b) 32 sq cm (c) 64 sq cm (d) 16 sq cm
- 2.A rectangle is 11 cm long and 5 cm wide. What is its area? (a) 55 sq cm (b) 32 sq cm (c) 16 sq cm (d) 66 sq cm
- 3.A rectangle has an area of 200 sq cm and a length of 20 cm. What is its width? (a) 20 cm (b) 11 cm (c) 10 cm (d) 180 cm
- 4.A rectangle is 11 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 26 cm (c) 13 cm (d) 24 cm
- 5.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 72 sq cm (b) 63 sq cm (c) 32 sq cm (d) 16 sq cm
- 6.A rectangle is 11 cm long and 10 cm wide. What is its area? (a) 21 sq cm (b) 42 sq cm (c) 121 sq cm (d) 110 sq cm
- 7.A rectangle has an area of 20 sq cm and a length of 5 cm. What is its width? (a) 5 cm (b) 4 cm (c) 8 cm (d) 15 cm
- 8.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 12 sq cm (b) 30 sq cm (c) 24 sq cm (d) 20 sq cm
- 9.A rectangle has an area of 8 sq cm and a length of 4 cm. What is its width? (a) 3 cm (b) 1 cm (c) 4 cm (d) 2 cm
- 10.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 18 cm (b) 96 cm (c) 10 cm (d) 9 cm
- 11.A rectangle has an area of 55 sq cm and a length of 11 cm. What is its width? (a) 44 cm (b) 6 cm (c) 10 cm (d) 5 cm
- 12.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 20 cm (b) 42 cm (c) 26 cm (d) 13 cm
- 13.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 81 sq cm (c) 18 sq cm (d) 36 sq cm
- 14.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 36 sq cm (d) 49 sq cm
- 15.A rectangle is 16 cm long and 5 cm wide. What is its area? (a) 21 sq cm (b) 80 sq cm (c) 42 sq cm (d) 96 sq cm
- 16.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 8 cm (b) 12 cm (c) 14 cm (d) 16 cm
- 17.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 44 sq cm (c) 121 sq cm (d) 22 sq cm
- 18.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 33 sq cm (b) 13 sq cm (c) 26 sq cm (d) 22 sq cm
- 19.A rectangle is 15 cm long and 8 cm wide. What is its area? (a) 46 sq cm (b) 135 sq cm (c) 23 sq cm (d) 120 sq cm
- 20.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 24 cm (b) 12 cm (c) 27 cm (d) 21 cm
- 21.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 24 sq cm (c) 144 sq cm (d) 48 sq 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 is 20 cm long and 7 cm wide. What is its area? (a) 160 sq cm (b) 54 sq cm (c) 140 sq cm (d) 27 sq cm
- 24.A rectangle is 13 cm long and 11 cm wide. What is its perimeter? (a) 24 cm (b) 143 cm (c) 37 cm (d) 48 cm
- 25.A rectangle is 14 cm long and 5 cm wide. What is its perimeter? (a) 70 cm (b) 19 cm (c) 38 cm (d) 33 cm
- 26.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 36 sq cm (c) 20 sq cm (d) 10 sq cm
- 27.A rectangle is 18 cm long and 7 cm wide. What is its perimeter? (a) 25 cm (b) 43 cm (c) 126 cm (d) 50 cm
- 28.A rectangle is 20 cm long and 2 cm wide. What is its perimeter? (a) 44 cm (b) 22 cm (c) 42 cm (d) 40 cm
- 29.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 18 cm (b) 15 cm (c) 9 cm (d) 19 cm
- 30.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 100 sq cm (c) 121 sq cm (d) 40 sq cm
- 31.A rectangle has an area of 187 sq cm and a length of 17 cm. What is its width? (a) 11 cm (b) 170 cm (c) 22 cm (d) 12 cm
- 32.A rectangle is 15 cm long and 7 cm wide. What is its perimeter? (a) 105 cm (b) 22 cm (c) 37 cm (d) 44 cm
- 33.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 15 sq cm (b) 60 sq cm (c) 50 sq cm (d) 30 sq cm
- 34.A rectangle is 14 cm long and 2 cm wide. What is its area? (a) 42 sq cm (b) 16 sq cm (c) 32 sq cm (d) 28 sq cm
- 35.A rectangle is 10 cm long and 9 cm wide. What is its perimeter? (a) 38 cm (b) 19 cm (c) 90 cm (d) 29 cm
- 36.A rectangle has an area of 98 sq cm and a length of 14 cm. What is its width? (a) 84 cm (b) 14 cm (c) 7 cm (d) 8 cm
- 37.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
- 38.A rectangle is 18 cm long and 9 cm wide. What is its area? (a) 54 sq cm (b) 180 sq cm (c) 162 sq cm (d) 27 sq cm
- 39.A rectangle is 12 cm long and 9 cm wide. What is its area? (a) 21 sq cm (b) 108 sq cm (c) 120 sq cm (d) 42 sq cm
- 40.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 72 sq cm (b) 17 sq cm (c) 34 sq cm (d) 81 sq cm
Answer key
- 64 sq cm
- 55 sq cm
- 10 cm
- 26 cm
- 63 sq cm
- 110 sq cm
- 4 cm
- 20 sq cm
- 2 cm
- 9 cm
- 5 cm
- 26 cm
- 81 sq cm
- 36 sq cm
- 80 sq cm
- 16 cm
- 121 sq cm
- 22 sq cm
- 120 sq cm
- 24 cm
- 144 sq cm
- 75 sq cm
- 140 sq cm
- 48 cm
- 38 cm
- 25 sq cm
- 50 cm
- 44 cm
- 18 cm
- 100 sq cm
- 11 cm
- 44 cm
- 50 sq cm
- 28 sq cm
- 38 cm
- 7 cm
- 49 sq cm
- 162 sq cm
- 108 sq cm
- 72 sq cm
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