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) 144 sq cm (b) 121 sq cm (c) 22 sq cm (d) 44 sq cm
- 2.A rectangle is 13 cm long and 7 cm wide. What is its perimeter? (a) 40 cm (b) 33 cm (c) 20 cm (d) 91 cm
- 3.A rectangle is 17 cm long and 3 cm wide. What is its perimeter? (a) 37 cm (b) 20 cm (c) 40 cm (d) 51 cm
- 4.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 256 sq cm (c) 225 sq cm (d) 30 sq cm
- 5.A rectangle has an area of 114 sq cm and a length of 19 cm. What is its width? (a) 6 cm (b) 7 cm (c) 12 cm (d) 95 cm
- 6.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 20 sq cm (c) 40 sq cm (d) 100 sq cm
- 7.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 52 sq cm (c) 169 sq cm (d) 26 sq cm
- 8.A rectangle is 15 cm long and 5 cm wide. What is its area? (a) 90 sq cm (b) 40 sq cm (c) 20 sq cm (d) 75 sq cm
- 9.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 11 cm (b) 18 cm (c) 28 cm (d) 22 cm
- 10.A rectangle is 17 cm long and 8 cm wide. What is its perimeter? (a) 42 cm (b) 136 cm (c) 50 cm (d) 25 cm
- 11.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 20 cm (b) 32 cm (c) 12 cm (d) 24 cm
- 12.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 18 sq cm (c) 36 sq cm (d) 81 sq cm
- 13.A rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 23 cm (b) 30 cm (c) 13 cm (d) 26 cm
- 14.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
- 15.A rectangle is 15 cm long and 3 cm wide. What is its area? (a) 60 sq cm (b) 18 sq cm (c) 36 sq cm (d) 45 sq cm
- 16.A rectangle is 12 cm long and 3 cm wide. What is its area? (a) 48 sq cm (b) 36 sq cm (c) 30 sq cm (d) 15 sq cm
- 17.A rectangle is 13 cm long and 4 cm wide. What is its perimeter? (a) 17 cm (b) 30 cm (c) 34 cm (d) 52 cm
- 18.A rectangle is 15 cm long and 6 cm wide. What is its area? (a) 90 sq cm (b) 105 sq cm (c) 21 sq cm (d) 42 sq cm
- 19.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 13 sq cm (b) 40 sq cm (c) 30 sq cm (d) 26 sq cm
- 20.A rectangle is 19 cm long and 7 cm wide. What is its area? (a) 152 sq cm (b) 26 sq cm (c) 52 sq cm (d) 133 sq cm
- 21.A rectangle has an area of 30 sq cm and a length of 6 cm. What is its width? (a) 10 cm (b) 6 cm (c) 5 cm (d) 24 cm
- 22.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 35 cm (b) 12 cm (c) 24 cm (d) 19 cm
- 23.A rectangle is 20 cm long and 10 cm wide. What is its area? (a) 200 sq cm (b) 220 sq cm (c) 30 sq cm (d) 60 sq cm
- 24.A rectangle has an area of 34 sq cm and a length of 17 cm. What is its width? (a) 2 cm (b) 17 cm (c) 3 cm (d) 4 cm
- 25.A rectangle is 10 cm long and 7 cm wide. What is its perimeter? (a) 34 cm (b) 27 cm (c) 17 cm (d) 70 cm
- 26.A rectangle is 20 cm long and 9 cm wide. What is its area? (a) 200 sq cm (b) 29 sq cm (c) 180 sq cm (d) 58 sq cm
- 27.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 225 sq cm (c) 56 sq cm (d) 196 sq cm
- 28.A rectangle is 18 cm long and 11 cm wide. What is its perimeter? (a) 198 cm (b) 29 cm (c) 47 cm (d) 58 cm
- 29.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 34 sq cm (b) 17 sq cm (c) 56 sq cm (d) 42 sq cm
- 30.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 25 sq cm (c) 10 sq cm (d) 20 sq cm
- 31.A rectangle has an area of 70 sq cm and a length of 14 cm. What is its width? (a) 6 cm (b) 56 cm (c) 5 cm (d) 10 cm
- 32.A rectangle is 19 cm long and 7 cm wide. What is its perimeter? (a) 26 cm (b) 45 cm (c) 52 cm (d) 133 cm
- 33.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 48 sq cm (c) 24 sq cm (d) 144 sq cm
- 34.A rectangle has an area of 84 sq cm and a length of 12 cm. What is its width? (a) 72 cm (b) 14 cm (c) 8 cm (d) 7 cm
- 35.A rectangle is 13 cm long and 9 cm wide. What is its perimeter? (a) 117 cm (b) 22 cm (c) 44 cm (d) 35 cm
- 36.A rectangle is 16 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 34 cm (c) 36 cm (d) 32 cm
- 37.A rectangle has an area of 18 sq cm and a length of 9 cm. What is its width? (a) 9 cm (b) 4 cm (c) 3 cm (d) 2 cm
- 38.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 16 sq cm (c) 32 sq cm (d) 64 sq cm
- 39.A rectangle has an area of 220 sq cm and a length of 20 cm. What is its width? (a) 22 cm (b) 200 cm (c) 11 cm (d) 12 cm
- 40.A rectangle is 17 cm long and 5 cm wide. What is its area? (a) 85 sq cm (b) 102 sq cm (c) 44 sq cm (d) 22 sq cm
Answer key
- 121 sq cm
- 40 cm
- 40 cm
- 225 sq cm
- 6 cm
- 100 sq cm
- 169 sq cm
- 75 sq cm
- 22 cm
- 50 cm
- 24 cm
- 81 sq cm
- 26 cm
- 36 sq cm
- 45 sq cm
- 36 sq cm
- 34 cm
- 90 sq cm
- 30 sq cm
- 133 sq cm
- 5 cm
- 24 cm
- 200 sq cm
- 2 cm
- 34 cm
- 180 sq cm
- 196 sq cm
- 58 cm
- 42 sq cm
- 25 sq cm
- 5 cm
- 52 cm
- 144 sq cm
- 7 cm
- 44 cm
- 36 cm
- 2 cm
- 64 sq cm
- 11 cm
- 85 sq cm
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