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) 22 sq cm (b) 144 sq cm (c) 121 sq cm (d) 44 sq cm
- 2.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 36 sq cm (c) 10 sq cm (d) 20 sq cm
- 3.A rectangle has an area of 153 sq cm and a length of 17 cm. What is its width? (a) 18 cm (b) 136 cm (c) 10 cm (d) 9 cm
- 4.A rectangle has an area of 39 sq cm and a length of 13 cm. What is its width? (a) 4 cm (b) 3 cm (c) 6 cm (d) 26 cm
- 5.A rectangle is 20 cm long and 2 cm wide. What is its area? (a) 60 sq cm (b) 44 sq cm (c) 22 sq cm (d) 40 sq cm
- 6.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 40 sq cm (c) 20 sq cm (d) 100 sq cm
- 7.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 36 sq cm (c) 12 sq cm (d) 27 sq cm
- 8.A rectangle has an area of 48 sq cm and a length of 16 cm. What is its width? (a) 4 cm (b) 32 cm (c) 3 cm (d) 6 cm
- 9.A rectangle has an area of 90 sq cm and a length of 18 cm. What is its width? (a) 6 cm (b) 72 cm (c) 5 cm (d) 10 cm
- 10.A rectangle is 16 cm long and 9 cm wide. What is its perimeter? (a) 41 cm (b) 50 cm (c) 144 cm (d) 25 cm
- 11.A rectangle is 17 cm long and 4 cm wide. What is its area? (a) 42 sq cm (b) 68 sq cm (c) 21 sq cm (d) 85 sq cm
- 12.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 225 sq cm (c) 56 sq cm (d) 28 sq cm
- 13.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 24 sq cm (c) 12 sq cm (d) 36 sq cm
- 14.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 22 cm (c) 20 cm (d) 11 cm
- 15.A rectangle is 18 cm long and 12 cm wide. What is its area? (a) 60 sq cm (b) 234 sq cm (c) 216 sq cm (d) 30 sq cm
- 16.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 30 sq cm (c) 12 sq cm (d) 20 sq cm
- 17.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
- 18.A rectangle is 13 cm long and 9 cm wide. What is its perimeter? (a) 35 cm (b) 22 cm (c) 44 cm (d) 117 cm
- 19.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 24 cm (b) 13 cm (c) 12 cm (d) 143 cm
- 20.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 49 sq cm (c) 28 sq cm (d) 64 sq cm
- 21.A rectangle is 16 cm long and 8 cm wide. What is its area? (a) 128 sq cm (b) 24 sq cm (c) 144 sq cm (d) 48 sq cm
- 22.A rectangle is 17 cm long and 2 cm wide. What is its perimeter? (a) 38 cm (b) 19 cm (c) 34 cm (d) 36 cm
- 23.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 26 sq cm (c) 52 sq cm (d) 196 sq cm
- 24.A rectangle has an area of 108 sq cm and a length of 18 cm. What is its width? (a) 12 cm (b) 6 cm (c) 90 cm (d) 7 cm
- 25.A rectangle is 20 cm long and 4 cm wide. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 80 sq cm (d) 100 sq cm
- 26.A rectangle is 18 cm long and 11 cm wide. What is its perimeter? (a) 47 cm (b) 58 cm (c) 198 cm (d) 29 cm
- 27.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 8 cm (b) 14 cm (c) 12 cm (d) 16 cm
- 28.A rectangle is 13 cm long and 10 cm wide. What is its area? (a) 143 sq cm (b) 23 sq cm (c) 46 sq cm (d) 130 sq cm
- 29.A rectangle is 10 cm long and 9 cm wide. What is its perimeter? (a) 90 cm (b) 29 cm (c) 19 cm (d) 38 cm
- 30.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) 4 cm (d) 10 cm
- 31.A rectangle is 20 cm long and 8 cm wide. What is its area? (a) 160 sq cm (b) 28 sq cm (c) 56 sq cm (d) 180 sq cm
- 32.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 11 cm (b) 24 cm (c) 22 cm (d) 19 cm
- 33.A rectangle has an area of 64 sq cm and a length of 16 cm. What is its width? (a) 8 cm (b) 5 cm (c) 4 cm (d) 48 cm
- 34.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 35 cm (b) 12 cm (c) 19 cm (d) 24 cm
- 35.A rectangle has an area of 176 sq cm and a length of 16 cm. What is its width? (a) 11 cm (b) 22 cm (c) 12 cm (d) 160 cm
- 36.A rectangle has an area of 36 sq cm and a length of 12 cm. What is its width? (a) 6 cm (b) 3 cm (c) 4 cm (d) 24 cm
- 37.A rectangle is 19 cm long and 6 cm wide. What is its perimeter? (a) 114 cm (b) 50 cm (c) 44 cm (d) 25 cm
- 38.A rectangle is 18 cm long and 4 cm wide. What is its perimeter? (a) 40 cm (b) 72 cm (c) 22 cm (d) 44 cm
- 39.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 30 sq cm (c) 225 sq cm (d) 60 sq cm
- 40.A rectangle has an area of 70 sq cm and a length of 10 cm. What is its width? (a) 60 cm (b) 14 cm (c) 7 cm (d) 8 cm
Answer key
- 121 sq cm
- 25 sq cm
- 9 cm
- 3 cm
- 40 sq cm
- 100 sq cm
- 27 sq cm
- 3 cm
- 5 cm
- 50 cm
- 68 sq cm
- 196 sq cm
- 36 sq cm
- 22 cm
- 216 sq cm
- 20 sq cm
- 81 sq cm
- 44 cm
- 12 cm
- 49 sq cm
- 128 sq cm
- 38 cm
- 169 sq cm
- 6 cm
- 80 sq cm
- 58 cm
- 16 cm
- 130 sq cm
- 38 cm
- 3 cm
- 160 sq cm
- 22 cm
- 4 cm
- 24 cm
- 11 cm
- 3 cm
- 50 cm
- 44 cm
- 225 sq cm
- 7 cm
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