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 52 cm. What is its area? (a) 52 sq cm (b) 169 sq cm (c) 196 sq cm (d) 26 sq cm
- 2.A rectangle is 18 cm long and 7 cm wide. What is its perimeter? (a) 25 cm (b) 126 cm (c) 43 cm (d) 50 cm
- 3.A rectangle is 15 cm long and 2 cm wide. What is its area? (a) 34 sq cm (b) 45 sq cm (c) 30 sq cm (d) 17 sq cm
- 4.A rectangle is 14 cm long and 11 cm wide. What is its area? (a) 25 sq cm (b) 50 sq cm (c) 154 sq cm (d) 168 sq cm
- 5.A rectangle has an area of 12 sq cm and a length of 6 cm. What is its width? (a) 2 cm (b) 6 cm (c) 4 cm (d) 3 cm
- 6.A rectangle has an area of 140 sq cm and a length of 20 cm. What is its width? (a) 14 cm (b) 120 cm (c) 7 cm (d) 8 cm
- 7.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 225 sq cm (c) 196 sq cm (d) 28 sq cm
- 8.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
- 9.A rectangle has an area of 12 sq cm and a length of 4 cm. What is its width? (a) 6 cm (b) 8 cm (c) 4 cm (d) 3 cm
- 10.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 144 sq cm (c) 121 sq cm (d) 44 sq cm
- 11.A rectangle is 20 cm long and 11 cm wide. What is its perimeter? (a) 51 cm (b) 31 cm (c) 220 cm (d) 62 cm
- 12.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 22 sq cm (c) 11 sq cm (d) 32 sq cm
- 13.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 13 sq cm (b) 45 sq cm (c) 26 sq cm (d) 36 sq cm
- 14.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
- 15.A rectangle is 15 cm long and 7 cm wide. What is its perimeter? (a) 44 cm (b) 22 cm (c) 37 cm (d) 105 cm
- 16.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 100 sq cm (c) 81 sq cm (d) 18 sq cm
- 17.A rectangle has an area of 54 sq cm and a length of 18 cm. What is its width? (a) 3 cm (b) 36 cm (c) 6 cm (d) 4 cm
- 18.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 99 cm (b) 10 cm (c) 11 cm (d) 20 cm
- 19.A rectangle has an area of 140 sq cm and a length of 14 cm. What is its width? (a) 126 cm (b) 20 cm (c) 11 cm (d) 10 cm
- 20.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 9 sq cm (c) 21 sq cm (d) 14 sq cm
- 21.A rectangle has an area of 77 sq cm and a length of 11 cm. What is its width? (a) 66 cm (b) 14 cm (c) 7 cm (d) 8 cm
- 22.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
- 23.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 12 sq cm (c) 36 sq cm (d) 24 sq cm
- 24.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 26 cm (b) 13 cm (c) 42 cm (d) 20 cm
- 25.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 30 sq cm (b) 22 sq cm (c) 11 sq cm (d) 36 sq cm
- 26.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 121 sq cm (d) 100 sq cm
- 27.A rectangle has an area of 45 sq cm and a length of 9 cm. What is its width? (a) 36 cm (b) 10 cm (c) 6 cm (d) 5 cm
- 28.A rectangle is 16 cm long and 7 cm wide. What is its area? (a) 112 sq cm (b) 128 sq cm (c) 46 sq cm (d) 23 sq cm
- 29.A rectangle has an area of 144 sq cm and a length of 16 cm. What is its width? (a) 18 cm (b) 128 cm (c) 9 cm (d) 10 cm
- 30.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 26 cm (b) 40 cm (c) 13 cm (d) 21 cm
- 31.A rectangle is 13 cm long and 6 cm wide. What is its perimeter? (a) 19 cm (b) 78 cm (c) 32 cm (d) 38 cm
- 32.A rectangle has an area of 176 sq cm and a length of 16 cm. What is its width? (a) 22 cm (b) 160 cm (c) 11 cm (d) 12 cm
- 33.A rectangle has an area of 112 sq cm and a length of 14 cm. What is its width? (a) 98 cm (b) 9 cm (c) 16 cm (d) 8 cm
- 34.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 26 cm (b) 72 cm (c) 17 cm (d) 34 cm
- 35.A rectangle has an area of 120 sq cm and a length of 20 cm. What is its width? (a) 6 cm (b) 12 cm (c) 7 cm (d) 100 cm
- 36.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
- 37.A rectangle is 15 cm long and 8 cm wide. What is its area? (a) 23 sq cm (b) 46 sq cm (c) 120 sq cm (d) 135 sq cm
- 38.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
- 39.A rectangle is 10 cm long and 7 cm wide. What is its perimeter? (a) 34 cm (b) 70 cm (c) 27 cm (d) 17 cm
- 40.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 16 sq cm (b) 72 sq cm (c) 32 sq cm (d) 63 sq cm
Answer key
- 169 sq cm
- 50 cm
- 30 sq cm
- 154 sq cm
- 2 cm
- 7 cm
- 196 sq cm
- 24 sq cm
- 3 cm
- 121 sq cm
- 62 cm
- 24 sq cm
- 36 sq cm
- 190 sq cm
- 44 cm
- 81 sq cm
- 3 cm
- 10 cm
- 10 cm
- 14 sq cm
- 7 cm
- 20 cm
- 36 sq cm
- 26 cm
- 30 sq cm
- 100 sq cm
- 5 cm
- 112 sq cm
- 9 cm
- 26 cm
- 38 cm
- 11 cm
- 8 cm
- 34 cm
- 6 cm
- 144 sq cm
- 120 sq cm
- 38 sq cm
- 34 cm
- 63 sq cm
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