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 13 cm long and 10 cm wide. What is its perimeter? (a) 23 cm (b) 36 cm (c) 46 cm (d) 130 cm
- 2.A rectangle is 11 cm long and 8 cm wide. What is its area? (a) 99 sq cm (b) 19 sq cm (c) 88 sq cm (d) 38 sq cm
- 3.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
- 4.A rectangle is 17 cm long and 7 cm wide. What is its area? (a) 48 sq cm (b) 136 sq cm (c) 119 sq cm (d) 24 sq cm
- 5.A rectangle is 15 cm long and 6 cm wide. What is its perimeter? (a) 21 cm (b) 90 cm (c) 42 cm (d) 36 cm
- 6.A rectangle has an area of 162 sq cm and a length of 18 cm. What is its width? (a) 10 cm (b) 144 cm (c) 9 cm (d) 18 cm
- 7.A rectangle is 16 cm long and 8 cm wide. What is its perimeter? (a) 128 cm (b) 24 cm (c) 48 cm (d) 40 cm
- 8.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 169 sq cm (c) 52 sq cm (d) 196 sq cm
- 9.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 14 sq cm (c) 64 sq cm (d) 28 sq cm
- 10.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 32 cm (b) 20 cm (c) 12 cm (d) 24 cm
- 11.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 40 sq cm (d) 32 sq cm
- 12.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 11 cm (b) 20 cm (c) 108 cm (d) 10 cm
- 13.A rectangle is 14 cm long and 9 cm wide. What is its area? (a) 126 sq cm (b) 140 sq cm (c) 23 sq cm (d) 46 sq cm
- 14.A rectangle is 12 cm long and 11 cm wide. What is its area? (a) 23 sq cm (b) 132 sq cm (c) 144 sq cm (d) 46 sq cm
- 15.A rectangle is 15 cm long and 10 cm wide. What is its area? (a) 150 sq cm (b) 165 sq cm (c) 25 sq cm (d) 50 sq cm
- 16.A rectangle is 12 cm long and 2 cm wide. What is its perimeter? (a) 24 cm (b) 26 cm (c) 28 cm (d) 14 cm
- 17.A rectangle is 17 cm long and 8 cm wide. What is its area? (a) 25 sq cm (b) 153 sq cm (c) 136 sq cm (d) 50 sq cm
- 18.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
- 19.A rectangle has an area of 6 sq cm and a length of 3 cm. What is its width? (a) 4 cm (b) 1 cm (c) 2 cm (d) 3 cm
- 20.A rectangle has an area of 90 sq cm and a length of 10 cm. What is its width? (a) 80 cm (b) 10 cm (c) 9 cm (d) 18 cm
- 21.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 30 sq cm (b) 20 sq cm (c) 24 sq cm (d) 10 sq cm
- 22.A rectangle has an area of 12 sq cm and a length of 6 cm. What is its width? (a) 3 cm (b) 6 cm (c) 2 cm (d) 4 cm
- 23.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 40 sq cm (b) 13 sq cm (c) 26 sq cm (d) 30 sq cm
- 24.A rectangle is 14 cm long and 7 cm wide. What is its area? (a) 98 sq cm (b) 21 sq cm (c) 112 sq cm (d) 42 sq cm
- 25.A rectangle is 18 cm long and 9 cm wide. What is its area? (a) 180 sq cm (b) 54 sq cm (c) 27 sq cm (d) 162 sq cm
- 26.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
- 27.A rectangle is 19 cm long and 2 cm wide. What is its area? (a) 21 sq cm (b) 38 sq cm (c) 57 sq cm (d) 42 sq cm
- 28.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 12 sq cm (c) 24 sq cm (d) 49 sq cm
- 29.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 169 sq cm (c) 24 sq cm (d) 48 sq cm
- 30.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 49 sq cm (b) 26 sq cm (c) 42 sq cm (d) 13 sq cm
- 31.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 22 cm (c) 12 cm (d) 24 cm
- 32.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
- 33.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 28 sq cm (b) 20 sq cm (c) 21 sq cm (d) 10 sq cm
- 34.A rectangle is 12 cm long and 7 cm wide. What is its area? (a) 96 sq cm (b) 38 sq cm (c) 84 sq cm (d) 19 sq cm
- 35.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 70 sq cm (d) 60 sq cm
- 36.A rectangle is 20 cm long and 10 cm wide. What is its perimeter? (a) 60 cm (b) 30 cm (c) 200 cm (d) 50 cm
- 37.A rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 26 cm (b) 30 cm (c) 23 cm (d) 13 cm
- 38.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 13 sq cm (b) 40 sq cm (c) 26 sq cm (d) 48 sq cm
- 39.A rectangle has an area of 200 sq cm and a length of 20 cm. What is its width? (a) 10 cm (b) 180 cm (c) 11 cm (d) 20 cm
- 40.A rectangle is 14 cm long and 11 cm wide. What is its perimeter? (a) 39 cm (b) 154 cm (c) 25 cm (d) 50 cm
Answer key
- 46 cm
- 88 sq cm
- 5 cm
- 119 sq cm
- 42 cm
- 9 cm
- 48 cm
- 169 sq cm
- 49 sq cm
- 24 cm
- 32 sq cm
- 10 cm
- 126 sq cm
- 132 sq cm
- 150 sq cm
- 28 cm
- 136 sq cm
- 81 sq cm
- 2 cm
- 9 cm
- 24 sq cm
- 2 cm
- 30 sq cm
- 98 sq cm
- 162 sq cm
- 25 sq cm
- 38 sq cm
- 36 sq cm
- 144 sq cm
- 42 sq cm
- 24 cm
- 121 sq cm
- 21 sq cm
- 84 sq cm
- 60 sq cm
- 60 cm
- 26 cm
- 40 sq cm
- 10 cm
- 50 cm
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