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 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
- 2.A rectangle is 11 cm long and 6 cm wide. What is its area? (a) 77 sq cm (b) 17 sq cm (c) 34 sq cm (d) 66 sq cm
- 3.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 48 sq cm (c) 24 sq cm (d) 169 sq cm
- 4.A rectangle is 15 cm long and 5 cm wide. What is its perimeter? (a) 40 cm (b) 35 cm (c) 20 cm (d) 75 cm
- 5.A rectangle is 17 cm long and 10 cm wide. What is its perimeter? (a) 27 cm (b) 54 cm (c) 170 cm (d) 44 cm
- 6.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 256 sq cm (c) 225 sq cm (d) 30 sq cm
- 7.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 24 sq cm (d) 16 sq cm
- 8.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 24 cm (b) 143 cm (c) 13 cm (d) 12 cm
- 9.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 22 sq cm (b) 24 sq cm (c) 11 sq cm (d) 32 sq cm
- 10.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 169 sq cm (c) 196 sq cm (d) 26 sq cm
- 11.A rectangle has an area of 84 sq cm and a length of 14 cm. What is its width? (a) 7 cm (b) 12 cm (c) 70 cm (d) 6 cm
- 12.A rectangle has an area of 80 sq cm and a length of 16 cm. What is its width? (a) 6 cm (b) 10 cm (c) 64 cm (d) 5 cm
- 13.A rectangle is 18 cm long and 3 cm wide. What is its perimeter? (a) 42 cm (b) 21 cm (c) 54 cm (d) 39 cm
- 14.A rectangle has an area of 105 sq cm and a length of 15 cm. What is its width? (a) 8 cm (b) 90 cm (c) 7 cm (d) 14 cm
- 15.A rectangle is 16 cm long and 6 cm wide. What is its perimeter? (a) 22 cm (b) 96 cm (c) 44 cm (d) 38 cm
- 16.A rectangle is 16 cm long and 6 cm wide. What is its area? (a) 96 sq cm (b) 112 sq cm (c) 44 sq cm (d) 22 sq cm
- 17.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 11 sq cm (b) 28 sq cm (c) 22 sq cm (d) 35 sq cm
- 18.A rectangle has an area of 52 sq cm and a length of 13 cm. What is its width? (a) 5 cm (b) 8 cm (c) 4 cm (d) 39 cm
- 19.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 16 cm (c) 14 cm (d) 9 cm
- 20.A rectangle is 13 cm long and 10 cm wide. What is its area? (a) 130 sq cm (b) 143 sq cm (c) 23 sq cm (d) 46 sq cm
- 21.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 19 cm (b) 18 cm (c) 9 cm (d) 15 cm
- 22.A rectangle is 18 cm long and 4 cm wide. What is its perimeter? (a) 40 cm (b) 72 cm (c) 44 cm (d) 22 cm
- 23.A rectangle has an area of 198 sq cm and a length of 18 cm. What is its width? (a) 22 cm (b) 180 cm (c) 11 cm (d) 12 cm
- 24.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 10 cm (b) 99 cm (c) 20 cm (d) 11 cm
- 25.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 19 sq cm (b) 18 sq cm (c) 9 sq cm (d) 24 sq cm
- 26.A rectangle has an area of 85 sq cm and a length of 17 cm. What is its width? (a) 5 cm (b) 10 cm (c) 6 cm (d) 68 cm
- 27.A rectangle is 10 cm long and 8 cm wide. What is its perimeter? (a) 80 cm (b) 28 cm (c) 36 cm (d) 18 cm
- 28.A rectangle is 18 cm long and 4 cm wide. What is its area? (a) 22 sq cm (b) 72 sq cm (c) 90 sq cm (d) 44 sq cm
- 29.A rectangle is 12 cm long and 6 cm wide. What is its area? (a) 18 sq cm (b) 84 sq cm (c) 72 sq cm (d) 36 sq cm
- 30.A rectangle is 13 cm long and 3 cm wide. What is its area? (a) 32 sq cm (b) 52 sq cm (c) 16 sq cm (d) 39 sq cm
- 31.A rectangle is 13 cm long and 7 cm wide. What is its area? (a) 91 sq cm (b) 104 sq cm (c) 40 sq cm (d) 20 sq cm
- 32.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 100 sq cm (c) 36 sq cm (d) 81 sq cm
- 33.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 22 cm (c) 18 cm (d) 11 cm
- 34.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 144 sq cm (d) 121 sq cm
- 35.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 12 cm (b) 22 cm (c) 11 cm (d) 190 cm
- 36.A rectangle is 17 cm long and 5 cm wide. What is its area? (a) 85 sq cm (b) 102 sq cm (c) 44 sq cm (d) 22 sq cm
- 37.A rectangle is 11 cm long and 5 cm wide. What is its perimeter? (a) 32 cm (b) 27 cm (c) 16 cm (d) 55 cm
- 38.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 28 sq cm (d) 21 sq cm
- 39.A rectangle has an area of 75 sq cm and a length of 15 cm. What is its width? (a) 60 cm (b) 10 cm (c) 6 cm (d) 5 cm
- 40.A rectangle is 17 cm long and 9 cm wide. What is its area? (a) 153 sq cm (b) 170 sq cm (c) 52 sq cm (d) 26 sq cm
Answer key
- 49 sq cm
- 66 sq cm
- 144 sq cm
- 40 cm
- 54 cm
- 225 sq cm
- 16 sq cm
- 12 cm
- 24 sq cm
- 169 sq cm
- 6 cm
- 5 cm
- 42 cm
- 7 cm
- 44 cm
- 96 sq cm
- 28 sq cm
- 4 cm
- 18 cm
- 130 sq cm
- 18 cm
- 44 cm
- 11 cm
- 10 cm
- 18 sq cm
- 5 cm
- 36 cm
- 72 sq cm
- 72 sq cm
- 39 sq cm
- 91 sq cm
- 81 sq cm
- 22 cm
- 121 sq cm
- 11 cm
- 85 sq cm
- 32 cm
- 21 sq cm
- 5 cm
- 153 sq cm
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