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 3 cm wide. What is its perimeter? (a) 42 cm (b) 21 cm (c) 39 cm (d) 54 cm
- 2.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 22 cm (b) 11 cm (c) 12 cm (d) 190 cm
- 3.A rectangle is 18 cm long and 9 cm wide. What is its area? (a) 162 sq cm (b) 54 sq cm (c) 180 sq cm (d) 27 sq cm
- 4.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 9 cm (b) 88 cm (c) 10 cm (d) 18 cm
- 5.A rectangle is 19 cm long and 3 cm wide. What is its area? (a) 44 sq cm (b) 76 sq cm (c) 57 sq cm (d) 22 sq cm
- 6.A rectangle has an area of 200 sq cm and a length of 20 cm. What is its width? (a) 180 cm (b) 20 cm (c) 11 cm (d) 10 cm
- 7.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 42 sq cm (b) 12 sq cm (c) 35 sq cm (d) 24 sq cm
- 8.A rectangle has an area of 240 sq cm and a length of 20 cm. What is its width? (a) 220 cm (b) 13 cm (c) 12 cm (d) 24 cm
- 9.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 49 sq cm (d) 64 sq cm
- 10.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 44 sq cm (c) 121 sq cm (d) 144 sq cm
- 11.A rectangle has an area of 72 sq cm and a length of 9 cm. What is its width? (a) 9 cm (b) 8 cm (c) 63 cm (d) 16 cm
- 12.A rectangle is 13 cm long and 3 cm wide. What is its area? (a) 16 sq cm (b) 39 sq cm (c) 52 sq cm (d) 32 sq cm
- 13.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 22 cm (b) 30 cm (c) 17 cm (d) 11 cm
- 14.A rectangle is 14 cm long and 8 cm wide. What is its area? (a) 126 sq cm (b) 112 sq cm (c) 44 sq cm (d) 22 sq cm
- 15.A rectangle is 20 cm long and 4 cm wide. What is its area? (a) 80 sq cm (b) 48 sq cm (c) 100 sq cm (d) 24 sq cm
- 16.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 15 cm (b) 56 cm (c) 23 cm (d) 30 cm
- 17.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 36 sq cm (c) 81 sq cm (d) 18 sq cm
- 18.A rectangle has an area of 117 sq cm and a length of 13 cm. What is its width? (a) 9 cm (b) 10 cm (c) 18 cm (d) 104 cm
- 19.A rectangle is 10 cm long and 5 cm wide. What is its perimeter? (a) 30 cm (b) 25 cm (c) 15 cm (d) 50 cm
- 20.A rectangle has an area of 40 sq cm and a length of 10 cm. What is its width? (a) 8 cm (b) 30 cm (c) 4 cm (d) 5 cm
- 21.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 36 sq cm (d) 27 sq cm
- 22.A rectangle is 12 cm long and 6 cm wide. What is its area? (a) 72 sq cm (b) 18 sq cm (c) 36 sq cm (d) 84 sq cm
- 23.A rectangle is 20 cm long and 3 cm wide. What is its area? (a) 23 sq cm (b) 60 sq cm (c) 46 sq cm (d) 80 sq cm
- 24.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
- 25.A rectangle is 20 cm long and 5 cm wide. What is its perimeter? (a) 50 cm (b) 100 cm (c) 25 cm (d) 45 cm
- 26.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
- 27.A rectangle is 11 cm long and 4 cm wide. What is its perimeter? (a) 26 cm (b) 15 cm (c) 44 cm (d) 30 cm
- 28.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 20 cm (b) 21 cm (c) 10 cm (d) 17 cm
- 29.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 28 sq cm (c) 56 sq cm (d) 225 sq cm
- 30.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 48 sq cm (b) 26 sq cm (c) 13 sq cm (d) 40 sq cm
- 31.A rectangle has an area of 12 sq cm and a length of 4 cm. What is its width? (a) 6 cm (b) 4 cm (c) 3 cm (d) 8 cm
- 32.A rectangle has an area of 60 sq cm and a length of 15 cm. What is its width? (a) 45 cm (b) 8 cm (c) 5 cm (d) 4 cm
- 33.A rectangle is 18 cm long and 8 cm wide. What is its perimeter? (a) 44 cm (b) 144 cm (c) 26 cm (d) 52 cm
- 34.A rectangle has an area of 56 sq cm and a length of 14 cm. What is its width? (a) 5 cm (b) 4 cm (c) 42 cm (d) 8 cm
- 35.A rectangle has an area of 105 sq cm and a length of 15 cm. What is its width? (a) 14 cm (b) 7 cm (c) 8 cm (d) 90 cm
- 36.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 49 sq cm (c) 12 sq cm (d) 36 sq cm
- 37.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 40 sq cm (c) 20 sq cm (d) 121 sq cm
- 38.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 150 cm (b) 22 cm (c) 11 cm (d) 12 cm
- 39.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 12 cm (b) 22 cm (c) 20 cm (d) 24 cm
- 40.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) 3 cm (d) 34 cm
Answer key
- 42 cm
- 11 cm
- 162 sq cm
- 9 cm
- 57 sq cm
- 10 cm
- 35 sq cm
- 12 cm
- 49 sq cm
- 121 sq cm
- 8 cm
- 39 sq cm
- 22 cm
- 112 sq cm
- 80 sq cm
- 30 cm
- 81 sq cm
- 9 cm
- 30 cm
- 4 cm
- 27 sq cm
- 72 sq cm
- 60 sq cm
- 169 sq cm
- 50 cm
- 144 sq cm
- 30 cm
- 20 cm
- 196 sq cm
- 40 sq cm
- 3 cm
- 4 cm
- 52 cm
- 4 cm
- 7 cm
- 36 sq cm
- 100 sq cm
- 11 cm
- 24 cm
- 3 cm
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