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 is 20 cm long and 3 cm wide. What is its perimeter? (a) 46 cm (b) 43 cm (c) 60 cm (d) 23 cm
- 2.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 10 cm (c) 20 cm (d) 16 cm
- 3.A rectangle is 18 cm long and 10 cm wide. What is its area? (a) 198 sq cm (b) 28 sq cm (c) 180 sq cm (d) 56 sq cm
- 4.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 100 sq cm (c) 81 sq cm (d) 18 sq cm
- 5.A rectangle has an area of 144 sq cm and a length of 18 cm. What is its width? (a) 16 cm (b) 8 cm (c) 9 cm (d) 126 cm
- 6.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 11 cm (c) 20 cm (d) 18 cm
- 7.A rectangle is 17 cm long and 10 cm wide. What is its area? (a) 54 sq cm (b) 187 sq cm (c) 27 sq cm (d) 170 sq cm
- 8.A rectangle is 20 cm long and 6 cm wide. What is its area? (a) 26 sq cm (b) 140 sq cm (c) 120 sq cm (d) 52 sq cm
- 9.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 256 sq cm (c) 30 sq cm (d) 60 sq cm
- 10.A rectangle is 11 cm long and 8 cm wide. What is its area? (a) 88 sq cm (b) 19 sq cm (c) 38 sq cm (d) 99 sq cm
- 11.A rectangle is 14 cm long and 10 cm wide. What is its perimeter? (a) 140 cm (b) 38 cm (c) 24 cm (d) 48 cm
- 12.A rectangle is 11 cm long and 5 cm wide. What is its perimeter? (a) 27 cm (b) 55 cm (c) 16 cm (d) 32 cm
- 13.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 25 sq cm (c) 20 sq cm (d) 10 sq cm
- 14.A rectangle is 18 cm long and 4 cm wide. What is its perimeter? (a) 44 cm (b) 40 cm (c) 72 cm (d) 22 cm
- 15.A rectangle is 12 cm long and 10 cm wide. What is its area? (a) 22 sq cm (b) 132 sq cm (c) 120 sq cm (d) 44 sq cm
- 16.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 15 cm (b) 30 cm (c) 24 cm (d) 54 cm
- 17.A rectangle has an area of 54 sq cm and a length of 18 cm. What is its width? (a) 6 cm (b) 4 cm (c) 36 cm (d) 3 cm
- 18.A rectangle is 14 cm long and 5 cm wide. What is its perimeter? (a) 33 cm (b) 19 cm (c) 38 cm (d) 70 cm
- 19.A rectangle has an area of 64 sq cm and a length of 16 cm. What is its width? (a) 4 cm (b) 5 cm (c) 48 cm (d) 8 cm
- 20.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
- 21.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 9 cm (b) 96 cm (c) 10 cm (d) 18 cm
- 22.A rectangle is 19 cm long and 4 cm wide. What is its area? (a) 76 sq cm (b) 23 sq cm (c) 95 sq cm (d) 46 sq cm
- 23.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 42 sq cm (b) 56 sq cm (c) 17 sq cm (d) 34 sq cm
- 24.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 52 sq cm (c) 26 sq cm (d) 196 sq cm
- 25.A rectangle is 14 cm long and 8 cm wide. What is its perimeter? (a) 36 cm (b) 112 cm (c) 22 cm (d) 44 cm
- 26.A rectangle is 13 cm long and 10 cm wide. What is its perimeter? (a) 23 cm (b) 36 cm (c) 130 cm (d) 46 cm
- 27.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 17 cm (b) 72 cm (c) 26 cm (d) 34 cm
- 28.A rectangle is 16 cm long and 3 cm wide. What is its perimeter? (a) 19 cm (b) 35 cm (c) 38 cm (d) 48 cm
- 29.A rectangle has an area of 150 sq cm and a length of 15 cm. What is its width? (a) 135 cm (b) 11 cm (c) 20 cm (d) 10 cm
- 30.A rectangle is 11 cm long and 9 cm wide. What is its area? (a) 110 sq cm (b) 20 sq cm (c) 99 sq cm (d) 40 sq cm
- 31.A rectangle has an area of 160 sq cm and a length of 16 cm. What is its width? (a) 20 cm (b) 144 cm (c) 11 cm (d) 10 cm
- 32.A rectangle has an area of 36 sq cm and a length of 12 cm. What is its width? (a) 4 cm (b) 6 cm (c) 24 cm (d) 3 cm
- 33.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 12 sq cm (b) 40 sq cm (c) 32 sq cm (d) 24 sq cm
- 34.A rectangle has an area of 30 sq cm and a length of 15 cm. What is its width? (a) 2 cm (b) 4 cm (c) 3 cm (d) 15 cm
- 35.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 12 cm (b) 13 cm (c) 24 cm (d) 209 cm
- 36.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
- 37.A rectangle has an area of 140 sq cm and a length of 14 cm. What is its width? (a) 126 cm (b) 10 cm (c) 11 cm (d) 20 cm
- 38.A rectangle is 15 cm long and 7 cm wide. What is its area? (a) 22 sq cm (b) 105 sq cm (c) 44 sq cm (d) 120 sq cm
- 39.A rectangle is 18 cm long and 2 cm wide. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 36 sq cm (d) 54 sq cm
- 40.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 49 sq cm (d) 36 sq cm
Answer key
- 46 cm
- 20 cm
- 180 sq cm
- 81 sq cm
- 8 cm
- 22 cm
- 170 sq cm
- 120 sq cm
- 225 sq cm
- 88 sq cm
- 48 cm
- 32 cm
- 25 sq cm
- 44 cm
- 120 sq cm
- 30 cm
- 3 cm
- 38 cm
- 4 cm
- 196 sq cm
- 9 cm
- 76 sq cm
- 42 sq cm
- 169 sq cm
- 44 cm
- 46 cm
- 34 cm
- 38 cm
- 10 cm
- 99 sq cm
- 10 cm
- 3 cm
- 32 sq cm
- 2 cm
- 12 cm
- 121 sq cm
- 10 cm
- 105 sq cm
- 36 sq cm
- 36 sq cm
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