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 has an area of 55 sq cm and a length of 11 cm. What is its width? (a) 10 cm (b) 44 cm (c) 6 cm (d) 5 cm
- 2.A rectangle is 14 cm long and 10 cm wide. What is its area? (a) 154 sq cm (b) 140 sq cm (c) 48 sq cm (d) 24 sq cm
- 3.A rectangle is 17 cm long and 7 cm wide. What is its perimeter? (a) 24 cm (b) 41 cm (c) 119 cm (d) 48 cm
- 4.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 19 sq cm (b) 38 sq cm (c) 100 sq cm (d) 90 sq cm
- 5.A rectangle has an area of 34 sq cm and a length of 17 cm. What is its width? (a) 4 cm (b) 2 cm (c) 3 cm (d) 17 cm
- 6.A rectangle is 11 cm long and 7 cm wide. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 88 sq cm (d) 77 sq cm
- 7.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 9 cm (b) 18 cm (c) 96 cm (d) 10 cm
- 8.A rectangle is 11 cm long and 3 cm wide. What is its perimeter? (a) 25 cm (b) 28 cm (c) 14 cm (d) 33 cm
- 9.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 20 cm (c) 17 cm (d) 10 cm
- 10.A rectangle is 14 cm long and 7 cm wide. What is its area? (a) 98 sq cm (b) 42 sq cm (c) 21 sq cm (d) 112 sq cm
- 11.A rectangle is 18 cm long and 9 cm wide. What is its perimeter? (a) 27 cm (b) 162 cm (c) 45 cm (d) 54 cm
- 12.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 22 cm (b) 11 cm (c) 19 cm (d) 24 cm
- 13.A rectangle is 12 cm long and 8 cm wide. What is its area? (a) 96 sq cm (b) 20 sq cm (c) 108 sq cm (d) 40 sq cm
- 14.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
- 15.A rectangle is 19 cm long and 11 cm wide. What is its area? (a) 60 sq cm (b) 209 sq cm (c) 228 sq cm (d) 30 sq cm
- 16.A rectangle has an area of 20 sq cm and a length of 5 cm. What is its width? (a) 8 cm (b) 15 cm (c) 4 cm (d) 5 cm
- 17.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 52 sq cm (c) 196 sq cm (d) 169 sq cm
- 18.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 8 sq cm (b) 12 sq cm (c) 16 sq cm (d) 18 sq cm
- 19.A rectangle is 12 cm long and 7 cm wide. What is its area? (a) 38 sq cm (b) 19 sq cm (c) 96 sq cm (d) 84 sq cm
- 20.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 63 sq cm (b) 16 sq cm (c) 72 sq cm (d) 32 sq cm
- 21.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 42 sq cm (d) 35 sq cm
- 22.A rectangle is 15 cm long and 8 cm wide. What is its area? (a) 23 sq cm (b) 135 sq cm (c) 120 sq cm (d) 46 sq cm
- 23.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 20 sq cm (c) 100 sq cm (d) 40 sq cm
- 24.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 35 sq cm (b) 11 sq cm (c) 22 sq cm (d) 28 sq cm
- 25.A rectangle is 13 cm long and 12 cm wide. What is its area? (a) 25 sq cm (b) 50 sq cm (c) 169 sq cm (d) 156 sq cm
- 26.A rectangle is 12 cm long and 11 cm wide. What is its area? (a) 132 sq cm (b) 46 sq cm (c) 23 sq cm (d) 144 sq cm
- 27.A rectangle has an area of 20 sq cm and a length of 10 cm. What is its width? (a) 4 cm (b) 2 cm (c) 10 cm (d) 3 cm
- 28.A rectangle is 20 cm long and 5 cm wide. What is its perimeter? (a) 45 cm (b) 50 cm (c) 25 cm (d) 100 cm
- 29.A rectangle has an area of 128 sq cm and a length of 16 cm. What is its width? (a) 9 cm (b) 16 cm (c) 8 cm (d) 112 cm
- 30.A rectangle has an area of 30 sq cm and a length of 10 cm. What is its width? (a) 20 cm (b) 6 cm (c) 4 cm (d) 3 cm
- 31.A rectangle has an area of 70 sq cm and a length of 10 cm. What is its width? (a) 14 cm (b) 8 cm (c) 60 cm (d) 7 cm
- 32.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 13 cm (b) 12 cm (c) 209 cm (d) 24 cm
- 33.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
- 34.A rectangle is 15 cm long and 5 cm wide. What is its perimeter? (a) 35 cm (b) 40 cm (c) 75 cm (d) 20 cm
- 35.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 26 sq cm (b) 13 sq cm (c) 49 sq cm (d) 42 sq cm
- 36.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 25 sq cm (d) 36 sq cm
- 37.A rectangle is 14 cm long and 9 cm wide. What is its perimeter? (a) 23 cm (b) 126 cm (c) 46 cm (d) 37 cm
- 38.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 16 sq cm (c) 32 sq cm (d) 64 sq cm
- 39.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 11 cm (b) 18 cm (c) 22 cm (d) 28 cm
- 40.A rectangle is 18 cm long and 11 cm wide. What is its perimeter? (a) 58 cm (b) 198 cm (c) 47 cm (d) 29 cm
Answer key
- 5 cm
- 140 sq cm
- 48 cm
- 90 sq cm
- 2 cm
- 77 sq cm
- 9 cm
- 28 cm
- 20 cm
- 98 sq cm
- 54 cm
- 22 cm
- 96 sq cm
- 130 sq cm
- 209 sq cm
- 4 cm
- 169 sq cm
- 12 sq cm
- 84 sq cm
- 63 sq cm
- 35 sq cm
- 120 sq cm
- 100 sq cm
- 28 sq cm
- 156 sq cm
- 132 sq cm
- 2 cm
- 50 cm
- 8 cm
- 3 cm
- 7 cm
- 12 cm
- 54 cm
- 40 cm
- 42 sq cm
- 25 sq cm
- 46 cm
- 64 sq cm
- 22 cm
- 58 cm
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