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 12 cm long and 4 cm wide. What is its area? (a) 48 sq cm (b) 60 sq cm (c) 16 sq cm (d) 32 sq cm
- 2.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 225 sq cm (c) 60 sq cm (d) 30 sq cm
- 3.A rectangle has an area of 24 sq cm and a length of 8 cm. What is its width? (a) 16 cm (b) 4 cm (c) 3 cm (d) 6 cm
- 4.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 225 sq cm (c) 56 sq cm (d) 196 sq cm
- 5.A rectangle has an area of 135 sq cm and a length of 15 cm. What is its width? (a) 10 cm (b) 120 cm (c) 9 cm (d) 18 cm
- 6.A rectangle is 12 cm long and 4 cm wide. What is its perimeter? (a) 48 cm (b) 16 cm (c) 28 cm (d) 32 cm
- 7.A rectangle is 20 cm long and 6 cm wide. What is its perimeter? (a) 26 cm (b) 120 cm (c) 46 cm (d) 52 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) 12 cm (c) 24 cm (d) 13 cm
- 9.A rectangle has an area of 112 sq cm and a length of 14 cm. What is its width? (a) 9 cm (b) 98 cm (c) 8 cm (d) 16 cm
- 10.A rectangle is 14 cm long and 12 cm wide. What is its perimeter? (a) 52 cm (b) 168 cm (c) 26 cm (d) 40 cm
- 11.A rectangle is 11 cm long and 10 cm wide. What is its area? (a) 21 sq cm (b) 42 sq cm (c) 110 sq cm (d) 121 sq cm
- 12.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 18 cm (c) 20 cm (d) 11 cm
- 13.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 63 cm (b) 16 cm (c) 32 cm (d) 25 cm
- 14.A rectangle is 13 cm long and 5 cm wide. What is its perimeter? (a) 65 cm (b) 31 cm (c) 18 cm (d) 36 cm
- 15.A rectangle is 18 cm long and 3 cm wide. What is its area? (a) 54 sq cm (b) 21 sq cm (c) 42 sq cm (d) 72 sq cm
- 16.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 36 sq cm (c) 12 sq cm (d) 24 sq cm
- 17.A rectangle is 20 cm long and 8 cm wide. What is its perimeter? (a) 56 cm (b) 48 cm (c) 160 cm (d) 28 cm
- 18.A rectangle has an area of 162 sq cm and a length of 18 cm. What is its width? (a) 9 cm (b) 144 cm (c) 10 cm (d) 18 cm
- 19.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 17 sq cm (b) 34 sq cm (c) 80 sq cm (d) 70 sq cm
- 20.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 81 sq cm (c) 100 sq cm (d) 36 sq cm
- 21.A rectangle is 18 cm long and 4 cm wide. What is its area? (a) 22 sq cm (b) 90 sq cm (c) 72 sq cm (d) 44 sq cm
- 22.A rectangle is 13 cm long and 3 cm wide. What is its perimeter? (a) 39 cm (b) 29 cm (c) 32 cm (d) 16 cm
- 23.A rectangle is 18 cm long and 2 cm wide. What is its perimeter? (a) 40 cm (b) 38 cm (c) 20 cm (d) 36 cm
- 24.A rectangle has an area of 35 sq cm and a length of 7 cm. What is its width? (a) 6 cm (b) 28 cm (c) 10 cm (d) 5 cm
- 25.A rectangle has an area of 78 sq cm and a length of 13 cm. What is its width? (a) 12 cm (b) 7 cm (c) 65 cm (d) 6 cm
- 26.A rectangle is 17 cm long and 6 cm wide. What is its perimeter? (a) 40 cm (b) 102 cm (c) 23 cm (d) 46 cm
- 27.A rectangle is 17 cm long and 11 cm wide. What is its perimeter? (a) 45 cm (b) 187 cm (c) 56 cm (d) 28 cm
- 28.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 13 sq cm (b) 33 sq cm (c) 22 sq cm (d) 26 sq cm
- 29.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 20 cm (b) 11 cm (c) 10 cm (d) 99 cm
- 30.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 9 sq cm (b) 21 sq cm (c) 14 sq cm (d) 18 sq cm
- 31.A rectangle is 11 cm long and 7 cm wide. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 88 sq cm (d) 77 sq cm
- 32.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 56 sq cm (b) 30 sq cm (c) 64 sq cm (d) 15 sq cm
- 33.A rectangle has an area of 51 sq cm and a length of 17 cm. What is its width? (a) 3 cm (b) 6 cm (c) 34 cm (d) 4 cm
- 34.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 18 cm (c) 16 cm (d) 10 cm
- 35.A rectangle is 16 cm long and 7 cm wide. What is its perimeter? (a) 112 cm (b) 39 cm (c) 23 cm (d) 46 cm
- 36.A rectangle has an area of 48 sq cm and a length of 16 cm. What is its width? (a) 6 cm (b) 32 cm (c) 3 cm (d) 4 cm
- 37.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 130 cm (b) 11 cm (c) 22 cm (d) 12 cm
- 38.A rectangle is 18 cm long and 6 cm wide. What is its area? (a) 24 sq cm (b) 48 sq cm (c) 126 sq cm (d) 108 sq cm
- 39.A rectangle is 18 cm long and 12 cm wide. What is its perimeter? (a) 216 cm (b) 48 cm (c) 60 cm (d) 30 cm
- 40.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 90 sq cm (b) 19 sq cm (c) 100 sq cm (d) 38 sq cm
Answer key
- 48 sq cm
- 225 sq cm
- 3 cm
- 196 sq cm
- 9 cm
- 32 cm
- 52 cm
- 12 cm
- 8 cm
- 52 cm
- 110 sq cm
- 22 cm
- 32 cm
- 36 cm
- 54 sq cm
- 36 sq cm
- 56 cm
- 9 cm
- 70 sq cm
- 81 sq cm
- 72 sq cm
- 32 cm
- 40 cm
- 5 cm
- 6 cm
- 46 cm
- 56 cm
- 22 sq cm
- 10 cm
- 14 sq cm
- 77 sq cm
- 56 sq cm
- 3 cm
- 20 cm
- 46 cm
- 3 cm
- 11 cm
- 108 sq cm
- 60 cm
- 90 sq cm
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