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 11 cm long and 8 cm wide. What is its perimeter? (a) 30 cm (b) 19 cm (c) 38 cm (d) 88 cm
- 2.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 22 cm (b) 150 cm (c) 12 cm (d) 11 cm
- 3.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 32 sq cm (d) 40 sq cm
- 4.A rectangle has an area of 72 sq cm and a length of 12 cm. What is its width? (a) 12 cm (b) 6 cm (c) 60 cm (d) 7 cm
- 5.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 56 sq cm (c) 28 sq cm (d) 225 sq cm
- 6.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 169 sq cm (c) 196 sq cm (d) 52 sq cm
- 7.A rectangle is 19 cm long and 6 cm wide. What is its area? (a) 50 sq cm (b) 133 sq cm (c) 25 sq cm (d) 114 sq cm
- 8.A rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 23 cm (b) 30 cm (c) 13 cm (d) 26 cm
- 9.A rectangle is 20 cm long and 9 cm wide. What is its perimeter? (a) 180 cm (b) 58 cm (c) 49 cm (d) 29 cm
- 10.A rectangle is 19 cm long and 2 cm wide. What is its area? (a) 38 sq cm (b) 42 sq cm (c) 21 sq cm (d) 57 sq cm
- 11.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 22 cm (b) 19 cm (c) 11 cm (d) 24 cm
- 12.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
- 13.A rectangle is 13 cm long and 6 cm wide. What is its perimeter? (a) 38 cm (b) 32 cm (c) 19 cm (d) 78 cm
- 14.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 209 cm (b) 24 cm (c) 12 cm (d) 13 cm
- 15.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 10 cm (b) 16 cm (c) 20 cm (d) 18 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 has an area of 75 sq cm and a length of 15 cm. What is its width? (a) 6 cm (b) 10 cm (c) 60 cm (d) 5 cm
- 18.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 23 cm (b) 14 cm (c) 45 cm (d) 28 cm
- 19.A rectangle has an area of 171 sq cm and a length of 19 cm. What is its width? (a) 152 cm (b) 9 cm (c) 18 cm (d) 10 cm
- 20.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 12 cm (b) 24 cm (c) 13 cm (d) 143 cm
- 21.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 34 cm (b) 26 cm (c) 17 cm (d) 72 cm
- 22.A rectangle has an area of 51 sq cm and a length of 17 cm. What is its width? (a) 6 cm (b) 4 cm (c) 34 cm (d) 3 cm
- 23.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 18 cm (b) 96 cm (c) 10 cm (d) 9 cm
- 24.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 100 sq cm (d) 121 sq cm
- 25.A rectangle has an area of 30 sq cm and a length of 6 cm. What is its width? (a) 24 cm (b) 6 cm (c) 10 cm (d) 5 cm
- 26.A rectangle is 16 cm long and 2 cm wide. What is its area? (a) 48 sq cm (b) 32 sq cm (c) 36 sq cm (d) 18 sq cm
- 27.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 20 sq cm (b) 24 sq cm (c) 10 sq cm (d) 16 sq cm
- 28.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 26 sq cm (b) 45 sq cm (c) 36 sq cm (d) 13 sq cm
- 29.A rectangle has an area of 70 sq cm and a length of 14 cm. What is its width? (a) 6 cm (b) 10 cm (c) 5 cm (d) 56 cm
- 30.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 11 cm (b) 18 cm (c) 22 cm (d) 20 cm
- 31.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 64 sq cm (b) 30 sq cm (c) 15 sq cm (d) 56 sq cm
- 32.A rectangle is 16 cm long and 11 cm wide. What is its area? (a) 192 sq cm (b) 176 sq cm (c) 54 sq cm (d) 27 sq cm
- 33.A rectangle is 15 cm long and 9 cm wide. What is its area? (a) 48 sq cm (b) 135 sq cm (c) 150 sq cm (d) 24 sq cm
- 34.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 12 sq cm (b) 35 sq cm (c) 42 sq cm (d) 24 sq cm
- 35.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 20 cm (b) 10 cm (c) 117 cm (d) 11 cm
- 36.A rectangle has an area of 104 sq cm and a length of 13 cm. What is its width? (a) 91 cm (b) 16 cm (c) 8 cm (d) 9 cm
- 37.A rectangle has an area of 90 sq cm and a length of 10 cm. What is its width? (a) 80 cm (b) 18 cm (c) 10 cm (d) 9 cm
- 38.A rectangle is 19 cm long and 8 cm wide. What is its perimeter? (a) 54 cm (b) 152 cm (c) 46 cm (d) 27 cm
- 39.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 35 sq cm (b) 11 sq cm (c) 28 sq cm (d) 22 sq cm
- 40.A rectangle is 11 cm long and 2 cm wide. What is its perimeter? (a) 26 cm (b) 22 cm (c) 13 cm (d) 24 cm
Answer key
- 38 cm
- 11 cm
- 32 sq cm
- 6 cm
- 196 sq cm
- 169 sq cm
- 114 sq cm
- 26 cm
- 58 cm
- 38 sq cm
- 22 cm
- 30 cm
- 38 cm
- 12 cm
- 20 cm
- 36 sq cm
- 5 cm
- 28 cm
- 9 cm
- 12 cm
- 34 cm
- 3 cm
- 9 cm
- 100 sq cm
- 5 cm
- 32 sq cm
- 16 sq cm
- 36 sq cm
- 5 cm
- 22 cm
- 56 sq cm
- 176 sq cm
- 135 sq cm
- 35 sq cm
- 10 cm
- 8 cm
- 9 cm
- 54 cm
- 28 sq cm
- 26 cm
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