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 15 cm long and 3 cm wide. What is its perimeter? (a) 33 cm (b) 45 cm (c) 18 cm (d) 36 cm
- 2.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 20 sq cm (c) 30 sq cm (d) 10 sq cm
- 3.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 22 sq cm (b) 28 sq cm (c) 35 sq cm (d) 11 sq cm
- 4.A rectangle has an area of 114 sq cm and a length of 19 cm. What is its width? (a) 95 cm (b) 7 cm (c) 6 cm (d) 12 cm
- 5.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 12 cm (b) 24 cm (c) 209 cm (d) 13 cm
- 6.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 50 sq cm (b) 30 sq cm (c) 60 sq cm (d) 15 sq cm
- 7.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 36 sq cm (c) 18 sq cm (d) 100 sq cm
- 8.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 99 cm (b) 20 cm (c) 10 cm (d) 11 cm
- 9.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 26 sq cm (b) 22 sq cm (c) 13 sq cm (d) 33 sq cm
- 10.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 28 sq cm (b) 40 sq cm (c) 14 sq cm (d) 50 sq cm
- 11.A rectangle is 19 cm long and 2 cm wide. What is its area? (a) 42 sq cm (b) 21 sq cm (c) 38 sq cm (d) 57 sq cm
- 12.A rectangle is 19 cm long and 5 cm wide. What is its area? (a) 114 sq cm (b) 95 sq cm (c) 48 sq cm (d) 24 sq cm
- 13.A rectangle is 14 cm long and 2 cm wide. What is its area? (a) 42 sq cm (b) 16 sq cm (c) 28 sq cm (d) 32 sq cm
- 14.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its width? (a) 4 cm (b) 5 cm (c) 8 cm (d) 21 cm
- 15.A rectangle is 13 cm long and 2 cm wide. What is its area? (a) 39 sq cm (b) 30 sq cm (c) 26 sq cm (d) 15 sq cm
- 16.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 169 sq cm (c) 52 sq cm (d) 26 sq cm
- 17.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 100 sq cm (d) 121 sq cm
- 18.A rectangle is 11 cm long and 4 cm wide. What is its perimeter? (a) 30 cm (b) 44 cm (c) 15 cm (d) 26 cm
- 19.A rectangle has an area of 119 sq cm and a length of 17 cm. What is its width? (a) 102 cm (b) 14 cm (c) 7 cm (d) 8 cm
- 20.A rectangle is 18 cm long and 6 cm wide. What is its perimeter? (a) 108 cm (b) 42 cm (c) 48 cm (d) 24 cm
- 21.A rectangle is 17 cm long and 3 cm wide. What is its area? (a) 40 sq cm (b) 51 sq cm (c) 68 sq cm (d) 20 sq cm
- 22.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 16 sq cm (c) 64 sq cm (d) 32 sq cm
- 23.A rectangle has an area of 136 sq cm and a length of 17 cm. What is its width? (a) 119 cm (b) 16 cm (c) 8 cm (d) 9 cm
- 24.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 117 cm (b) 10 cm (c) 20 cm (d) 11 cm
- 25.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 225 sq cm (c) 196 sq cm (d) 56 sq cm
- 26.A rectangle is 13 cm long and 12 cm wide. What is its perimeter? (a) 50 cm (b) 38 cm (c) 156 cm (d) 25 cm
- 27.A rectangle is 17 cm long and 8 cm wide. What is its perimeter? (a) 136 cm (b) 42 cm (c) 50 cm (d) 25 cm
- 28.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 35 sq cm (d) 42 sq cm
- 29.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
- 30.A rectangle is 19 cm long and 4 cm wide. What is its perimeter? (a) 23 cm (b) 46 cm (c) 76 cm (d) 42 cm
- 31.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 22 sq cm (b) 27 sq cm (c) 11 sq cm (d) 18 sq cm
- 32.A rectangle is 16 cm long and 6 cm wide. What is its area? (a) 96 sq cm (b) 44 sq cm (c) 112 sq cm (d) 22 sq cm
- 33.A rectangle is 13 cm long and 5 cm wide. What is its perimeter? (a) 18 cm (b) 31 cm (c) 65 cm (d) 36 cm
- 34.A rectangle is 11 cm long and 8 cm wide. What is its area? (a) 99 sq cm (b) 38 sq cm (c) 88 sq cm (d) 19 sq cm
- 35.A rectangle has an area of 198 sq cm and a length of 18 cm. What is its width? (a) 22 cm (b) 180 cm (c) 11 cm (d) 12 cm
- 36.A rectangle is 17 cm long and 4 cm wide. What is its area? (a) 68 sq cm (b) 85 sq cm (c) 42 sq cm (d) 21 sq cm
- 37.A rectangle has an area of 21 sq cm and a length of 7 cm. What is its width? (a) 14 cm (b) 6 cm (c) 4 cm (d) 3 cm
- 38.A rectangle has an area of 117 sq cm and a length of 13 cm. What is its width? (a) 18 cm (b) 9 cm (c) 10 cm (d) 104 cm
- 39.A rectangle has an area of 102 sq cm and a length of 17 cm. What is its width? (a) 85 cm (b) 12 cm (c) 7 cm (d) 6 cm
- 40.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 72 sq cm (b) 17 sq cm (c) 34 sq cm (d) 81 sq cm
Answer key
- 36 cm
- 24 sq cm
- 28 sq cm
- 6 cm
- 12 cm
- 50 sq cm
- 81 sq cm
- 10 cm
- 22 sq cm
- 40 sq cm
- 38 sq cm
- 95 sq cm
- 28 sq cm
- 4 cm
- 26 sq cm
- 169 sq cm
- 100 sq cm
- 30 cm
- 7 cm
- 48 cm
- 51 sq cm
- 64 sq cm
- 8 cm
- 10 cm
- 196 sq cm
- 50 cm
- 50 cm
- 35 sq cm
- 32 cm
- 46 cm
- 18 sq cm
- 96 sq cm
- 36 cm
- 88 sq cm
- 11 cm
- 68 sq cm
- 3 cm
- 9 cm
- 6 cm
- 72 sq cm
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