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) 64 sq cm (c) 16 sq cm (d) 32 sq cm
- 2.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
- 3.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 32 sq cm (c) 12 sq cm (d) 40 sq cm
- 4.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 10 cm (b) 20 cm (c) 24 cm (d) 16 cm
- 5.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 16 cm (c) 12 cm (d) 8 cm
- 6.A rectangle is 14 cm long and 2 cm wide. What is its area? (a) 32 sq cm (b) 28 sq cm (c) 16 sq cm (d) 42 sq cm
- 7.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 11 cm (b) 10 cm (c) 20 cm (d) 117 cm
- 8.A rectangle is 20 cm long and 2 cm wide. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 60 sq cm (d) 40 sq cm
- 9.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 56 sq cm (c) 196 sq cm (d) 28 sq cm
- 10.A rectangle has an area of 30 sq cm and a length of 10 cm. What is its width? (a) 4 cm (b) 3 cm (c) 20 cm (d) 6 cm
- 11.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 16 cm (b) 63 cm (c) 25 cm (d) 32 cm
- 12.A rectangle is 20 cm long and 7 cm wide. What is its perimeter? (a) 27 cm (b) 47 cm (c) 54 cm (d) 140 cm
- 13.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
- 14.A rectangle is 14 cm long and 3 cm wide. What is its perimeter? (a) 42 cm (b) 31 cm (c) 17 cm (d) 34 cm
- 15.A rectangle has an area of 160 sq cm and a length of 20 cm. What is its width? (a) 140 cm (b) 9 cm (c) 16 cm (d) 8 cm
- 16.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 56 sq cm (b) 48 sq cm (c) 14 sq cm (d) 28 sq cm
- 17.A rectangle is 16 cm long and 11 cm wide. What is its perimeter? (a) 176 cm (b) 43 cm (c) 54 cm (d) 27 cm
- 18.A rectangle is 11 cm long and 6 cm wide. What is its perimeter? (a) 34 cm (b) 28 cm (c) 66 cm (d) 17 cm
- 19.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 144 sq cm (c) 22 sq cm (d) 44 sq cm
- 20.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 196 sq cm (c) 26 sq cm (d) 169 sq cm
- 21.A rectangle is 13 cm long and 8 cm wide. What is its perimeter? (a) 104 cm (b) 34 cm (c) 42 cm (d) 21 cm
- 22.A rectangle has an area of 114 sq cm and a length of 19 cm. What is its width? (a) 7 cm (b) 6 cm (c) 95 cm (d) 12 cm
- 23.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 9 sq cm (c) 18 sq cm (d) 19 sq cm
- 24.A rectangle is 12 cm long and 10 cm wide. What is its perimeter? (a) 22 cm (b) 120 cm (c) 34 cm (d) 44 cm
- 25.A rectangle is 17 cm long and 12 cm wide. What is its perimeter? (a) 204 cm (b) 29 cm (c) 46 cm (d) 58 cm
- 26.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 100 sq cm (d) 121 sq cm
- 27.A rectangle is 11 cm long and 8 cm wide. What is its perimeter? (a) 88 cm (b) 19 cm (c) 38 cm (d) 30 cm
- 28.A rectangle has an area of 198 sq cm and a length of 18 cm. What is its width? (a) 12 cm (b) 180 cm (c) 11 cm (d) 22 cm
- 29.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 30 cm (b) 22 cm (c) 11 cm (d) 17 cm
- 30.A rectangle is 20 cm long and 6 cm wide. What is its area? (a) 140 sq cm (b) 120 sq cm (c) 26 sq cm (d) 52 sq cm
- 31.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 11 cm (b) 22 cm (c) 120 cm (d) 12 cm
- 32.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 22 cm (b) 18 cm (c) 28 cm (d) 11 cm
- 33.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 24 cm (b) 12 cm (c) 13 cm (d) 187 cm
- 34.A rectangle is 10 cm long and 4 cm wide. What is its perimeter? (a) 40 cm (b) 14 cm (c) 24 cm (d) 28 cm
- 35.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 36 sq cm (b) 27 sq cm (c) 24 sq cm (d) 12 sq cm
- 36.A rectangle is 15 cm long and 4 cm wide. What is its area? (a) 75 sq cm (b) 19 sq cm (c) 60 sq cm (d) 38 sq cm
- 37.A rectangle is 17 cm long and 3 cm wide. What is its perimeter? (a) 40 cm (b) 20 cm (c) 51 cm (d) 37 cm
- 38.A rectangle has an area of 190 sq cm and a length of 19 cm. What is its width? (a) 10 cm (b) 171 cm (c) 11 cm (d) 20 cm
- 39.A rectangle is 10 cm long and 5 cm wide. What is its perimeter? (a) 50 cm (b) 15 cm (c) 25 cm (d) 30 cm
- 40.A rectangle is 20 cm long and 9 cm wide. What is its area? (a) 180 sq cm (b) 58 sq cm (c) 200 sq cm (d) 29 sq cm
Answer key
- 64 sq cm
- 25 sq cm
- 32 sq cm
- 20 cm
- 16 cm
- 28 sq cm
- 10 cm
- 40 sq cm
- 196 sq cm
- 3 cm
- 32 cm
- 54 cm
- 78 sq cm
- 34 cm
- 8 cm
- 48 sq cm
- 54 cm
- 34 cm
- 121 sq cm
- 169 sq cm
- 42 cm
- 6 cm
- 18 sq cm
- 44 cm
- 58 cm
- 100 sq cm
- 38 cm
- 11 cm
- 22 cm
- 120 sq cm
- 11 cm
- 22 cm
- 12 cm
- 28 cm
- 27 sq cm
- 60 sq cm
- 40 cm
- 10 cm
- 30 cm
- 180 sq cm
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