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 9 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 24 cm (c) 12 cm (d) 27 cm
- 2.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 64 sq cm (c) 32 sq cm (d) 81 sq cm
- 3.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 35 sq cm (b) 12 sq cm (c) 24 sq cm (d) 42 sq cm
- 4.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 11 sq cm (b) 36 sq cm (c) 30 sq cm (d) 22 sq cm
- 5.A rectangle is 17 cm long and 12 cm wide. What is its area? (a) 221 sq cm (b) 204 sq cm (c) 29 sq cm (d) 58 sq cm
- 6.A rectangle is 11 cm long and 4 cm wide. What is its area? (a) 15 sq cm (b) 44 sq cm (c) 55 sq cm (d) 30 sq cm
- 7.A rectangle has an area of 128 sq cm and a length of 16 cm. What is its width? (a) 16 cm (b) 112 cm (c) 9 cm (d) 8 cm
- 8.A rectangle has an area of 36 sq cm and a length of 18 cm. What is its width? (a) 4 cm (b) 3 cm (c) 2 cm (d) 18 cm
- 9.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 14 cm (b) 22 cm (c) 48 cm (d) 28 cm
- 10.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 21 sq cm (b) 117 sq cm (c) 42 sq cm (d) 104 sq cm
- 11.A rectangle is 13 cm long and 4 cm wide. What is its area? (a) 52 sq cm (b) 65 sq cm (c) 34 sq cm (d) 17 sq cm
- 12.A rectangle is 19 cm long and 8 cm wide. What is its perimeter? (a) 27 cm (b) 54 cm (c) 46 cm (d) 152 cm
- 13.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 70 sq cm (b) 16 sq cm (c) 60 sq cm (d) 32 sq cm
- 14.A rectangle is 19 cm long and 12 cm wide. What is its perimeter? (a) 50 cm (b) 31 cm (c) 228 cm (d) 62 cm
- 15.A rectangle has an area of 60 sq cm and a length of 12 cm. What is its width? (a) 6 cm (b) 10 cm (c) 5 cm (d) 48 cm
- 16.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 12 cm (b) 13 cm (c) 24 cm (d) 198 cm
- 17.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 36 sq cm (d) 25 sq cm
- 18.A rectangle is 19 cm long and 4 cm wide. What is its perimeter? (a) 76 cm (b) 23 cm (c) 42 cm (d) 46 cm
- 19.A rectangle is 17 cm long and 12 cm wide. What is its perimeter? (a) 46 cm (b) 58 cm (c) 29 cm (d) 204 cm
- 20.A rectangle has an area of 187 sq cm and a length of 17 cm. What is its width? (a) 12 cm (b) 11 cm (c) 22 cm (d) 170 cm
- 21.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 30 sq cm (b) 15 sq cm (c) 54 sq cm (d) 63 sq cm
- 22.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 70 sq cm (b) 17 sq cm (c) 34 sq cm (d) 80 sq cm
- 23.A rectangle has an area of 180 sq cm and a length of 18 cm. What is its width? (a) 10 cm (b) 162 cm (c) 11 cm (d) 20 cm
- 24.A rectangle is 19 cm long and 9 cm wide. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 171 sq cm (d) 190 sq cm
- 25.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 100 sq cm (c) 36 sq cm (d) 18 sq cm
- 26.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 32 sq cm (b) 24 sq cm (c) 11 sq cm (d) 22 sq cm
- 27.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 121 sq cm (c) 100 sq cm (d) 20 sq cm
- 28.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 36 sq cm (c) 28 sq cm (d) 14 sq cm
- 29.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) 104 cm (d) 10 cm
- 30.A rectangle has an area of 90 sq cm and a length of 10 cm. What is its width? (a) 10 cm (b) 9 cm (c) 18 cm (d) 80 cm
- 31.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 20 cm (b) 17 cm (c) 10 cm (d) 21 cm
- 32.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 169 sq cm (d) 196 sq cm
- 33.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 15 sq cm (b) 30 sq cm (c) 56 sq cm (d) 64 sq cm
- 34.A rectangle has an area of 176 sq cm and a length of 16 cm. What is its width? (a) 22 cm (b) 11 cm (c) 160 cm (d) 12 cm
- 35.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 108 cm (b) 10 cm (c) 20 cm (d) 11 cm
- 36.A rectangle is 12 cm long and 2 cm wide. What is its perimeter? (a) 28 cm (b) 14 cm (c) 26 cm (d) 24 cm
- 37.A rectangle has an area of 78 sq cm and a length of 13 cm. What is its width? (a) 12 cm (b) 6 cm (c) 7 cm (d) 65 cm
- 38.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 10 cm (b) 96 cm (c) 18 cm (d) 9 cm
- 39.A rectangle is 20 cm long and 12 cm wide. What is its area? (a) 64 sq cm (b) 260 sq cm (c) 240 sq cm (d) 32 sq cm
- 40.A rectangle is 10 cm long and 9 cm wide. What is its perimeter? (a) 29 cm (b) 90 cm (c) 38 cm (d) 19 cm
Answer key
- 24 cm
- 64 sq cm
- 35 sq cm
- 30 sq cm
- 204 sq cm
- 44 sq cm
- 8 cm
- 2 cm
- 28 cm
- 104 sq cm
- 52 sq cm
- 54 cm
- 60 sq cm
- 62 cm
- 5 cm
- 12 cm
- 25 sq cm
- 46 cm
- 58 cm
- 11 cm
- 54 sq cm
- 70 sq cm
- 10 cm
- 171 sq cm
- 81 sq cm
- 24 sq cm
- 100 sq cm
- 24 sq cm
- 9 cm
- 9 cm
- 20 cm
- 169 sq cm
- 56 sq cm
- 11 cm
- 10 cm
- 28 cm
- 6 cm
- 9 cm
- 240 sq cm
- 38 cm
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