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 9 cm long and 2 cm wide. What is its area? (a) 22 sq cm (b) 27 sq cm (c) 11 sq cm (d) 18 sq cm
- 2.A rectangle is 14 cm long and 11 cm wide. What is its area? (a) 168 sq cm (b) 50 sq cm (c) 25 sq cm (d) 154 sq cm
- 3.A rectangle has an area of 63 sq cm and a length of 9 cm. What is its width? (a) 7 cm (b) 14 cm (c) 8 cm (d) 54 cm
- 4.A rectangle has an area of 34 sq cm and a length of 17 cm. What is its width? (a) 3 cm (b) 2 cm (c) 17 cm (d) 4 cm
- 5.A rectangle is 19 cm long and 10 cm wide. What is its area? (a) 190 sq cm (b) 58 sq cm (c) 209 sq cm (d) 29 sq cm
- 6.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 64 sq cm (c) 28 sq cm (d) 14 sq cm
- 7.A rectangle is 12 cm long and 11 cm wide. What is its area? (a) 23 sq cm (b) 132 sq cm (c) 46 sq cm (d) 144 sq cm
- 8.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 49 sq cm (d) 36 sq cm
- 9.A rectangle has an area of 36 sq cm and a length of 9 cm. What is its width? (a) 4 cm (b) 8 cm (c) 5 cm (d) 27 cm
- 10.A rectangle is 19 cm long and 7 cm wide. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 133 sq cm (d) 152 sq cm
- 11.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 256 sq cm (d) 225 sq cm
- 12.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 81 sq cm (d) 64 sq cm
- 13.A rectangle has an area of 72 sq cm and a length of 18 cm. What is its width? (a) 5 cm (b) 54 cm (c) 4 cm (d) 8 cm
- 14.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 10 cm (b) 16 cm (c) 24 cm (d) 20 cm
- 15.A rectangle is 12 cm long and 4 cm wide. What is its perimeter? (a) 48 cm (b) 16 cm (c) 32 cm (d) 28 cm
- 16.A rectangle has an area of 104 sq cm and a length of 13 cm. What is its width? (a) 8 cm (b) 16 cm (c) 9 cm (d) 91 cm
- 17.A rectangle has an area of 192 sq cm and a length of 16 cm. What is its width? (a) 13 cm (b) 12 cm (c) 24 cm (d) 176 cm
- 18.A rectangle is 19 cm long and 9 cm wide. What is its perimeter? (a) 28 cm (b) 47 cm (c) 56 cm (d) 171 cm
- 19.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
- 20.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 28 sq cm (c) 196 sq cm (d) 56 sq cm
- 21.A rectangle is 13 cm long and 10 cm wide. What is its perimeter? (a) 23 cm (b) 130 cm (c) 36 cm (d) 46 cm
- 22.A rectangle is 13 cm long and 5 cm wide. What is its perimeter? (a) 18 cm (b) 65 cm (c) 31 cm (d) 36 cm
- 23.A rectangle is 17 cm long and 3 cm wide. What is its area? (a) 20 sq cm (b) 68 sq cm (c) 51 sq cm (d) 40 sq cm
- 24.A rectangle has an area of 144 sq cm and a length of 18 cm. What is its width? (a) 16 cm (b) 9 cm (c) 8 cm (d) 126 cm
- 25.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 9 cm (b) 10 cm (c) 88 cm (d) 18 cm
- 26.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
- 27.A rectangle is 11 cm long and 9 cm wide. What is its area? (a) 110 sq cm (b) 99 sq cm (c) 20 sq cm (d) 40 sq cm
- 28.A rectangle has an area of 120 sq cm and a length of 20 cm. What is its width? (a) 6 cm (b) 7 cm (c) 100 cm (d) 12 cm
- 29.A rectangle is 11 cm long and 7 cm wide. What is its perimeter? (a) 18 cm (b) 77 cm (c) 36 cm (d) 29 cm
- 30.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 19 cm (b) 24 cm (c) 11 cm (d) 22 cm
- 31.A rectangle has an area of 108 sq cm and a length of 18 cm. What is its width? (a) 6 cm (b) 7 cm (c) 12 cm (d) 90 cm
- 32.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 144 sq cm (d) 169 sq cm
- 33.A rectangle has an area of 72 sq cm and a length of 12 cm. What is its width? (a) 60 cm (b) 12 cm (c) 7 cm (d) 6 cm
- 34.A rectangle is 20 cm long and 2 cm wide. What is its area? (a) 40 sq cm (b) 22 sq cm (c) 44 sq cm (d) 60 sq cm
- 35.A rectangle is 18 cm long and 6 cm wide. What is its area? (a) 48 sq cm (b) 126 sq cm (c) 108 sq cm (d) 24 sq cm
- 36.A rectangle is 18 cm long and 9 cm wide. What is its perimeter? (a) 45 cm (b) 162 cm (c) 27 cm (d) 54 cm
- 37.A rectangle is 18 cm long and 3 cm wide. What is its area? (a) 72 sq cm (b) 21 sq cm (c) 42 sq cm (d) 54 sq cm
- 38.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 25 sq cm (d) 36 sq cm
- 39.A rectangle is 10 cm long and 4 cm wide. What is its perimeter? (a) 28 cm (b) 14 cm (c) 24 cm (d) 40 cm
- 40.A rectangle has an area of 140 sq cm and a length of 14 cm. What is its width? (a) 126 cm (b) 11 cm (c) 20 cm (d) 10 cm
Answer key
- 18 sq cm
- 154 sq cm
- 7 cm
- 2 cm
- 190 sq cm
- 49 sq cm
- 132 sq cm
- 36 sq cm
- 4 cm
- 133 sq cm
- 225 sq cm
- 64 sq cm
- 4 cm
- 20 cm
- 32 cm
- 8 cm
- 12 cm
- 56 cm
- 34 cm
- 196 sq cm
- 46 cm
- 36 cm
- 51 sq cm
- 8 cm
- 9 cm
- 22 cm
- 99 sq cm
- 6 cm
- 36 cm
- 22 cm
- 6 cm
- 144 sq cm
- 6 cm
- 40 sq cm
- 108 sq cm
- 54 cm
- 54 sq cm
- 25 sq cm
- 28 cm
- 10 cm
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