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 8 cm wide. What is its area? (a) 21 sq cm (b) 42 sq cm (c) 117 sq cm (d) 104 sq cm
- 2.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 56 sq cm (b) 14 sq cm (c) 48 sq cm (d) 28 sq cm
- 3.A rectangle has an area of 84 sq cm and a length of 14 cm. What is its width? (a) 12 cm (b) 6 cm (c) 7 cm (d) 70 cm
- 4.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 49 sq cm (c) 24 sq cm (d) 36 sq cm
- 5.A rectangle is 19 cm long and 5 cm wide. What is its perimeter? (a) 95 cm (b) 43 cm (c) 24 cm (d) 48 cm
- 6.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 49 sq cm (c) 14 sq cm (d) 28 sq cm
- 7.A rectangle is 19 cm long and 3 cm wide. What is its area? (a) 44 sq cm (b) 57 sq cm (c) 76 sq cm (d) 22 sq cm
- 8.A rectangle is 17 cm long and 4 cm wide. What is its area? (a) 85 sq cm (b) 21 sq cm (c) 42 sq cm (d) 68 sq cm
- 9.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
- 10.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 45 sq cm (d) 54 sq cm
- 11.A rectangle is 14 cm long and 9 cm wide. What is its perimeter? (a) 37 cm (b) 126 cm (c) 23 cm (d) 46 cm
- 12.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 12 cm (b) 24 cm (c) 20 cm (d) 22 cm
- 13.A rectangle is 19 cm long and 7 cm wide. What is its perimeter? (a) 26 cm (b) 52 cm (c) 45 cm (d) 133 cm
- 14.A rectangle is 20 cm long and 3 cm wide. What is its area? (a) 46 sq cm (b) 80 sq cm (c) 60 sq cm (d) 23 sq cm
- 15.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 16 sq cm (c) 81 sq cm (d) 32 sq cm
- 16.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 30 sq cm (b) 10 sq cm (c) 24 sq cm (d) 20 sq cm
- 17.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 28 sq cm (b) 11 sq cm (c) 35 sq cm (d) 22 sq cm
- 18.A rectangle is 15 cm long and 3 cm wide. What is its perimeter? (a) 45 cm (b) 33 cm (c) 18 cm (d) 36 cm
- 19.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 144 sq cm (c) 22 sq cm (d) 44 sq cm
- 20.A rectangle has an area of 14 sq cm and a length of 7 cm. What is its width? (a) 2 cm (b) 4 cm (c) 7 cm (d) 3 cm
- 21.A rectangle has an area of 72 sq cm and a length of 9 cm. What is its width? (a) 63 cm (b) 8 cm (c) 9 cm (d) 16 cm
- 22.A rectangle has an area of 21 sq cm and a length of 7 cm. What is its width? (a) 3 cm (b) 4 cm (c) 6 cm (d) 14 cm
- 23.A rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 30 cm (b) 26 cm (c) 13 cm (d) 23 cm
- 24.A rectangle is 17 cm long and 11 cm wide. What is its area? (a) 56 sq cm (b) 204 sq cm (c) 187 sq cm (d) 28 sq cm
- 25.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 56 cm (b) 15 cm (c) 23 cm (d) 30 cm
- 26.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 225 sq cm (c) 28 sq cm (d) 196 sq cm
- 27.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 13 sq cm (b) 48 sq cm (c) 26 sq cm (d) 40 sq cm
- 28.A rectangle has an area of 30 sq cm and a length of 15 cm. What is its width? (a) 4 cm (b) 2 cm (c) 15 cm (d) 3 cm
- 29.A rectangle is 15 cm long and 8 cm wide. What is its perimeter? (a) 23 cm (b) 120 cm (c) 38 cm (d) 46 cm
- 30.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 169 sq cm (c) 144 sq cm (d) 48 sq cm
- 31.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 225 sq cm (c) 256 sq cm (d) 30 sq cm
- 32.A rectangle is 19 cm long and 6 cm wide. What is its area? (a) 133 sq cm (b) 50 sq cm (c) 25 sq cm (d) 114 sq cm
- 33.A rectangle is 13 cm long and 3 cm wide. What is its area? (a) 32 sq cm (b) 52 sq cm (c) 39 sq cm (d) 16 sq cm
- 34.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 24 cm (b) 13 cm (c) 209 cm (d) 12 cm
- 35.A rectangle is 17 cm long and 3 cm wide. What is its area? (a) 51 sq cm (b) 40 sq cm (c) 68 sq cm (d) 20 sq cm
- 36.A rectangle is 11 cm long and 9 cm wide. What is its perimeter? (a) 31 cm (b) 20 cm (c) 99 cm (d) 40 cm
- 37.A rectangle has an area of 140 sq cm and a length of 14 cm. What is its width? (a) 10 cm (b) 11 cm (c) 20 cm (d) 126 cm
- 38.A rectangle is 11 cm long and 7 cm wide. What is its area? (a) 36 sq cm (b) 88 sq cm (c) 77 sq cm (d) 18 sq cm
- 39.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 13 cm (b) 198 cm (c) 24 cm (d) 12 cm
- 40.A rectangle has an area of 20 sq cm and a length of 5 cm. What is its width? (a) 4 cm (b) 5 cm (c) 15 cm (d) 8 cm
Answer key
- 104 sq cm
- 48 sq cm
- 6 cm
- 36 sq cm
- 48 cm
- 49 sq cm
- 57 sq cm
- 68 sq cm
- 35 sq cm
- 45 sq cm
- 46 cm
- 24 cm
- 52 cm
- 60 sq cm
- 64 sq cm
- 24 sq cm
- 28 sq cm
- 36 cm
- 121 sq cm
- 2 cm
- 8 cm
- 3 cm
- 26 cm
- 187 sq cm
- 30 cm
- 196 sq cm
- 40 sq cm
- 2 cm
- 46 cm
- 144 sq cm
- 225 sq cm
- 114 sq cm
- 39 sq cm
- 12 cm
- 51 sq cm
- 40 cm
- 10 cm
- 77 sq cm
- 12 cm
- 4 cm
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