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 has an area of 57 sq cm and a length of 19 cm. What is its width? (a) 4 cm (b) 38 cm (c) 3 cm (d) 6 cm
- 2.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 10 sq cm (b) 24 sq cm (c) 20 sq cm (d) 30 sq cm
- 3.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 49 sq cm (c) 36 sq cm (d) 24 sq cm
- 4.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) 24 cm (d) 12 cm
- 5.A rectangle is 16 cm long and 8 cm wide. What is its area? (a) 128 sq cm (b) 48 sq cm (c) 24 sq cm (d) 144 sq cm
- 6.A rectangle has an area of 27 sq cm and a length of 9 cm. What is its width? (a) 6 cm (b) 18 cm (c) 4 cm (d) 3 cm
- 7.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 49 sq cm (c) 64 sq cm (d) 14 sq cm
- 8.A rectangle has an area of 30 sq cm and a length of 15 cm. What is its width? (a) 15 cm (b) 3 cm (c) 4 cm (d) 2 cm
- 9.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its width? (a) 12 cm (b) 3 cm (c) 6 cm (d) 4 cm
- 10.A rectangle is 12 cm long and 4 cm wide. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 60 sq cm (d) 48 sq cm
- 11.A rectangle is 15 cm long and 5 cm wide. What is its perimeter? (a) 40 cm (b) 35 cm (c) 75 cm (d) 20 cm
- 12.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 40 sq cm (c) 20 sq cm (d) 100 sq cm
- 13.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 32 sq cm (c) 16 sq cm (d) 81 sq cm
- 14.A rectangle is 10 cm long and 9 cm wide. What is its perimeter? (a) 19 cm (b) 29 cm (c) 38 cm (d) 90 cm
- 15.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 10 cm (b) 20 cm (c) 21 cm (d) 17 cm
- 16.A rectangle is 14 cm long and 5 cm wide. What is its perimeter? (a) 38 cm (b) 70 cm (c) 19 cm (d) 33 cm
- 17.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
- 18.A rectangle has an area of 40 sq cm and a length of 10 cm. What is its width? (a) 4 cm (b) 5 cm (c) 8 cm (d) 30 cm
- 19.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 9 cm (b) 14 cm (c) 18 cm (d) 16 cm
- 20.A rectangle has an area of 15 sq cm and a length of 5 cm. What is its width? (a) 6 cm (b) 4 cm (c) 10 cm (d) 3 cm
- 21.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 196 sq cm (c) 28 sq cm (d) 56 sq cm
- 22.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 19 cm (b) 24 cm (c) 22 cm (d) 11 cm
- 23.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 22 sq cm (c) 44 sq cm (d) 144 sq cm
- 24.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 20 cm (b) 11 cm (c) 10 cm (d) 108 cm
- 25.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
- 26.A rectangle is 17 cm long and 11 cm wide. What is its perimeter? (a) 187 cm (b) 28 cm (c) 45 cm (d) 56 cm
- 27.A rectangle is 14 cm long and 8 cm wide. What is its area? (a) 112 sq cm (b) 22 sq cm (c) 126 sq cm (d) 44 sq cm
- 28.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 12 sq cm (b) 27 sq cm (c) 36 sq cm (d) 24 sq cm
- 29.A rectangle has an area of 48 sq cm and a length of 8 cm. What is its width? (a) 40 cm (b) 6 cm (c) 7 cm (d) 12 cm
- 30.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
- 31.A rectangle is 17 cm long and 7 cm wide. What is its perimeter? (a) 24 cm (b) 48 cm (c) 41 cm (d) 119 cm
- 32.A rectangle is 11 cm long and 8 cm wide. What is its perimeter? (a) 88 cm (b) 38 cm (c) 30 cm (d) 19 cm
- 33.A rectangle is 11 cm long and 8 cm wide. What is its area? (a) 19 sq cm (b) 99 sq cm (c) 38 sq cm (d) 88 sq cm
- 34.A rectangle is 19 cm long and 2 cm wide. What is its area? (a) 21 sq cm (b) 38 sq cm (c) 42 sq cm (d) 57 sq cm
- 35.A rectangle is 17 cm long and 11 cm wide. What is its area? (a) 204 sq cm (b) 56 sq cm (c) 28 sq cm (d) 187 sq cm
- 36.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 36 sq cm (c) 25 sq cm (d) 10 sq cm
- 37.A rectangle is 11 cm long and 3 cm wide. What is its perimeter? (a) 25 cm (b) 33 cm (c) 14 cm (d) 28 cm
- 38.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 13 cm (b) 12 cm (c) 24 cm (d) 154 cm
- 39.A rectangle has an area of 42 sq cm and a length of 7 cm. What is its width? (a) 35 cm (b) 7 cm (c) 6 cm (d) 12 cm
- 40.A rectangle is 20 cm long and 5 cm wide. What is its area? (a) 25 sq cm (b) 50 sq cm (c) 100 sq cm (d) 120 sq cm
Answer key
- 3 cm
- 24 sq cm
- 36 sq cm
- 12 cm
- 128 sq cm
- 3 cm
- 49 sq cm
- 2 cm
- 3 cm
- 48 sq cm
- 40 cm
- 100 sq cm
- 64 sq cm
- 38 cm
- 20 cm
- 38 cm
- 46 cm
- 4 cm
- 18 cm
- 3 cm
- 196 sq cm
- 22 cm
- 121 sq cm
- 10 cm
- 114 sq cm
- 56 cm
- 112 sq cm
- 27 sq cm
- 6 cm
- 8 cm
- 48 cm
- 38 cm
- 88 sq cm
- 38 sq cm
- 187 sq cm
- 25 sq cm
- 28 cm
- 12 cm
- 6 cm
- 100 sq cm
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