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 18 cm long and 10 cm wide. What is its perimeter? (a) 28 cm (b) 180 cm (c) 46 cm (d) 56 cm
- 2.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 121 sq cm (d) 100 sq cm
- 3.A rectangle is 11 cm long and 9 cm wide. What is its area? (a) 99 sq cm (b) 20 sq cm (c) 110 sq cm (d) 40 sq cm
- 4.A rectangle is 19 cm long and 12 cm wide. What is its perimeter? (a) 62 cm (b) 228 cm (c) 31 cm (d) 50 cm
- 5.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 22 cm (b) 11 cm (c) 28 cm (d) 18 cm
- 6.A rectangle is 13 cm long and 2 cm wide. What is its perimeter? (a) 28 cm (b) 26 cm (c) 15 cm (d) 30 cm
- 7.A rectangle is 20 cm long and 7 cm wide. What is its area? (a) 140 sq cm (b) 27 sq cm (c) 160 sq cm (d) 54 sq cm
- 8.A rectangle is 14 cm long and 2 cm wide. What is its perimeter? (a) 28 cm (b) 30 cm (c) 32 cm (d) 16 cm
- 9.A rectangle is 14 cm long and 6 cm wide. What is its area? (a) 20 sq cm (b) 98 sq cm (c) 84 sq cm (d) 40 sq cm
- 10.A rectangle is 16 cm long and 9 cm wide. What is its area? (a) 50 sq cm (b) 160 sq cm (c) 144 sq cm (d) 25 sq cm
- 11.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 8 cm (b) 14 cm (c) 12 cm (d) 16 cm
- 12.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 52 sq cm (c) 169 sq cm (d) 26 sq cm
- 13.A rectangle has an area of 40 sq cm and a length of 10 cm. What is its width? (a) 4 cm (b) 30 cm (c) 5 cm (d) 8 cm
- 14.A rectangle is 19 cm long and 4 cm wide. What is its perimeter? (a) 76 cm (b) 46 cm (c) 42 cm (d) 23 cm
- 15.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 15 sq cm (b) 50 sq cm (c) 60 sq cm (d) 30 sq cm
- 16.A rectangle has an area of 15 sq cm and a length of 5 cm. What is its width? (a) 6 cm (b) 10 cm (c) 4 cm (d) 3 cm
- 17.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 18 sq cm (c) 12 sq cm (d) 8 sq cm
- 18.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 14 sq cm (c) 9 sq cm (d) 21 sq cm
- 19.A rectangle is 17 cm long and 2 cm wide. What is its perimeter? (a) 36 cm (b) 19 cm (c) 34 cm (d) 38 cm
- 20.A rectangle has an area of 36 sq cm and a length of 9 cm. What is its width? (a) 8 cm (b) 5 cm (c) 27 cm (d) 4 cm
- 21.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
- 22.A rectangle has an area of 135 sq cm and a length of 15 cm. What is its width? (a) 9 cm (b) 120 cm (c) 10 cm (d) 18 cm
- 23.A rectangle is 13 cm long and 10 cm wide. What is its perimeter? (a) 130 cm (b) 46 cm (c) 23 cm (d) 36 cm
- 24.A rectangle is 17 cm long and 5 cm wide. What is its area? (a) 22 sq cm (b) 44 sq cm (c) 85 sq cm (d) 102 sq cm
- 25.A rectangle has an area of 27 sq cm and a length of 9 cm. What is its width? (a) 6 cm (b) 3 cm (c) 18 cm (d) 4 cm
- 26.A rectangle has an area of 33 sq cm and a length of 11 cm. What is its width? (a) 3 cm (b) 6 cm (c) 22 cm (d) 4 cm
- 27.A rectangle is 14 cm long and 10 cm wide. What is its perimeter? (a) 24 cm (b) 38 cm (c) 140 cm (d) 48 cm
- 28.A rectangle is 14 cm long and 6 cm wide. What is its perimeter? (a) 84 cm (b) 34 cm (c) 20 cm (d) 40 cm
- 29.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 24 sq cm (c) 48 sq cm (d) 144 sq cm
- 30.A rectangle is 19 cm long and 4 cm wide. What is its area? (a) 76 sq cm (b) 95 sq cm (c) 46 sq cm (d) 23 sq cm
- 31.A rectangle has an area of 16 sq cm and a length of 8 cm. What is its width? (a) 8 cm (b) 3 cm (c) 4 cm (d) 2 cm
- 32.A rectangle is 10 cm long and 5 cm wide. What is its perimeter? (a) 25 cm (b) 15 cm (c) 30 cm (d) 50 cm
- 33.A rectangle is 13 cm long and 9 cm wide. What is its perimeter? (a) 117 cm (b) 35 cm (c) 22 cm (d) 44 cm
- 34.A rectangle has an area of 114 sq cm and a length of 19 cm. What is its width? (a) 6 cm (b) 12 cm (c) 7 cm (d) 95 cm
- 35.A rectangle has an area of 32 sq cm and a length of 16 cm. What is its width? (a) 16 cm (b) 4 cm (c) 2 cm (d) 3 cm
- 36.A rectangle is 16 cm long and 4 cm wide. What is its perimeter? (a) 20 cm (b) 36 cm (c) 64 cm (d) 40 cm
- 37.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 30 sq cm (d) 24 sq cm
- 38.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 81 sq cm (c) 18 sq cm (d) 36 sq cm
- 39.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 22 cm (b) 11 cm (c) 17 cm (d) 30 cm
- 40.A rectangle is 19 cm long and 2 cm wide. What is its perimeter? (a) 21 cm (b) 42 cm (c) 40 cm (d) 38 cm
Answer key
- 56 cm
- 100 sq cm
- 99 sq cm
- 62 cm
- 22 cm
- 30 cm
- 140 sq cm
- 32 cm
- 84 sq cm
- 144 sq cm
- 16 cm
- 169 sq cm
- 4 cm
- 46 cm
- 50 sq cm
- 3 cm
- 12 sq cm
- 14 sq cm
- 38 cm
- 4 cm
- 2 cm
- 9 cm
- 46 cm
- 85 sq cm
- 3 cm
- 3 cm
- 48 cm
- 40 cm
- 144 sq cm
- 76 sq cm
- 2 cm
- 30 cm
- 44 cm
- 6 cm
- 2 cm
- 40 cm
- 24 sq cm
- 81 sq cm
- 22 cm
- 42 cm
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