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 8 cm long and 6 cm wide. What is its area? (a) 56 sq cm (b) 48 sq cm (c) 28 sq cm (d) 14 sq cm
- 2.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 49 sq cm (c) 64 sq cm (d) 28 sq cm
- 3.A rectangle is 13 cm long and 3 cm wide. What is its perimeter? (a) 16 cm (b) 32 cm (c) 29 cm (d) 39 cm
- 4.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 16 cm (b) 10 cm (c) 24 cm (d) 20 cm
- 5.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 10 sq cm (c) 20 sq cm (d) 30 sq cm
- 6.A rectangle is 20 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 100 sq cm (c) 48 sq cm (d) 80 sq cm
- 7.A rectangle has an area of 20 sq cm and a length of 5 cm. What is its width? (a) 15 cm (b) 4 cm (c) 5 cm (d) 8 cm
- 8.A rectangle is 11 cm long and 7 cm wide. What is its area? (a) 18 sq cm (b) 88 sq cm (c) 36 sq cm (d) 77 sq cm
- 9.A rectangle has an area of 128 sq cm and a length of 16 cm. What is its width? (a) 112 cm (b) 16 cm (c) 8 cm (d) 9 cm
- 10.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) 22 cm (d) 11 cm
- 11.A rectangle is 17 cm long and 6 cm wide. What is its perimeter? (a) 40 cm (b) 23 cm (c) 46 cm (d) 102 cm
- 12.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 225 sq cm (c) 30 sq cm (d) 256 sq cm
- 13.A rectangle has an area of 36 sq cm and a length of 9 cm. What is its width? (a) 4 cm (b) 8 cm (c) 5 cm (d) 27 cm
- 14.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 18 sq cm (c) 81 sq cm (d) 36 sq cm
- 15.A rectangle has an area of 135 sq cm and a length of 15 cm. What is its width? (a) 10 cm (b) 9 cm (c) 18 cm (d) 120 cm
- 16.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 49 sq cm (c) 12 sq cm (d) 24 sq cm
- 17.A rectangle is 15 cm long and 8 cm wide. What is its area? (a) 46 sq cm (b) 23 sq cm (c) 120 sq cm (d) 135 sq cm
- 18.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 18 cm (b) 22 cm (c) 28 cm (d) 11 cm
- 19.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 18 cm (b) 10 cm (c) 88 cm (d) 9 cm
- 20.A rectangle is 14 cm long and 11 cm wide. What is its area? (a) 50 sq cm (b) 25 sq cm (c) 154 sq cm (d) 168 sq cm
- 21.A rectangle is 15 cm long and 10 cm wide. What is its perimeter? (a) 25 cm (b) 150 cm (c) 50 cm (d) 40 cm
- 22.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 32 sq cm (b) 24 sq cm (c) 12 sq cm (d) 40 sq cm
- 23.A rectangle is 13 cm long and 11 cm wide. What is its area? (a) 24 sq cm (b) 48 sq cm (c) 156 sq cm (d) 143 sq cm
- 24.A rectangle has an area of 60 sq cm and a length of 20 cm. What is its width? (a) 4 cm (b) 6 cm (c) 3 cm (d) 40 cm
- 25.A rectangle is 10 cm long and 7 cm wide. What is its perimeter? (a) 17 cm (b) 27 cm (c) 70 cm (d) 34 cm
- 26.A rectangle has an area of 78 sq cm and a length of 13 cm. What is its width? (a) 7 cm (b) 6 cm (c) 12 cm (d) 65 cm
- 27.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 20 cm (c) 18 cm (d) 11 cm
- 28.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 15 sq cm (b) 63 sq cm (c) 30 sq cm (d) 54 sq cm
- 29.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 24 sq cm (c) 10 sq cm (d) 20 sq cm
- 30.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 9 cm (c) 14 cm (d) 18 cm
- 31.A rectangle has an area of 24 sq cm and a length of 8 cm. What is its width? (a) 4 cm (b) 3 cm (c) 16 cm (d) 6 cm
- 32.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 22 sq cm (b) 35 sq cm (c) 11 sq cm (d) 28 sq cm
- 33.A rectangle is 17 cm long and 12 cm wide. What is its perimeter? (a) 29 cm (b) 46 cm (c) 58 cm (d) 204 cm
- 34.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 20 sq cm (c) 40 sq cm (d) 121 sq cm
- 35.A rectangle is 16 cm long and 12 cm wide. What is its perimeter? (a) 28 cm (b) 44 cm (c) 192 cm (d) 56 cm
- 36.A rectangle is 17 cm long and 7 cm wide. What is its area? (a) 136 sq cm (b) 24 sq cm (c) 48 sq cm (d) 119 sq cm
- 37.A rectangle has an area of 112 sq cm and a length of 14 cm. What is its width? (a) 8 cm (b) 98 cm (c) 9 cm (d) 16 cm
- 38.A rectangle is 14 cm long and 8 cm wide. What is its area? (a) 112 sq cm (b) 126 sq cm (c) 22 sq cm (d) 44 sq cm
- 39.A rectangle has an area of 105 sq cm and a length of 15 cm. What is its width? (a) 7 cm (b) 8 cm (c) 14 cm (d) 90 cm
- 40.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 22 sq cm (c) 44 sq cm (d) 144 sq cm
Answer key
- 48 sq cm
- 49 sq cm
- 32 cm
- 20 cm
- 24 sq cm
- 80 sq cm
- 4 cm
- 77 sq cm
- 8 cm
- 11 cm
- 46 cm
- 225 sq cm
- 4 cm
- 81 sq cm
- 9 cm
- 36 sq cm
- 120 sq cm
- 22 cm
- 9 cm
- 154 sq cm
- 50 cm
- 32 sq cm
- 143 sq cm
- 3 cm
- 34 cm
- 6 cm
- 22 cm
- 54 sq cm
- 16 sq cm
- 18 cm
- 3 cm
- 28 sq cm
- 58 cm
- 100 sq cm
- 56 cm
- 119 sq cm
- 8 cm
- 112 sq cm
- 7 cm
- 121 sq cm
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