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 18 cm long and 6 cm wide. What is its perimeter? (a) 42 cm (b) 24 cm (c) 108 cm (d) 48 cm
- 2.A rectangle is 11 cm long and 8 cm wide. What is its area? (a) 19 sq cm (b) 38 sq cm (c) 88 sq cm (d) 99 sq cm
- 3.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
- 4.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 13 cm (b) 24 cm (c) 165 cm (d) 12 cm
- 5.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
- 6.A rectangle is 19 cm long and 4 cm wide. What is its perimeter? (a) 46 cm (b) 42 cm (c) 23 cm (d) 76 cm
- 7.A rectangle is 14 cm long and 10 cm wide. What is its perimeter? (a) 48 cm (b) 140 cm (c) 38 cm (d) 24 cm
- 8.A rectangle is 10 cm long and 7 cm wide. What is its perimeter? (a) 27 cm (b) 70 cm (c) 17 cm (d) 34 cm
- 9.A rectangle is 13 cm long and 4 cm wide. What is its perimeter? (a) 52 cm (b) 34 cm (c) 30 cm (d) 17 cm
- 10.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 196 sq cm (d) 169 sq cm
- 11.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 144 sq cm (c) 48 sq cm (d) 24 sq cm
- 12.A rectangle has an area of 18 sq cm and a length of 9 cm. What is its width? (a) 2 cm (b) 9 cm (c) 3 cm (d) 4 cm
- 13.A rectangle is 19 cm long and 5 cm wide. What is its area? (a) 95 sq cm (b) 48 sq cm (c) 24 sq cm (d) 114 sq cm
- 14.A rectangle has an area of 190 sq cm and a length of 19 cm. What is its width? (a) 11 cm (b) 20 cm (c) 171 cm (d) 10 cm
- 15.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 40 sq cm (b) 32 sq cm (c) 24 sq cm (d) 12 sq cm
- 16.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 100 sq cm (c) 40 sq cm (d) 121 sq cm
- 17.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 196 sq cm (c) 56 sq cm (d) 225 sq cm
- 18.A rectangle has an area of 48 sq cm and a length of 16 cm. What is its width? (a) 3 cm (b) 32 cm (c) 6 cm (d) 4 cm
- 19.A rectangle has an area of 162 sq cm and a length of 18 cm. What is its width? (a) 10 cm (b) 18 cm (c) 9 cm (d) 144 cm
- 20.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 121 sq cm (c) 44 sq cm (d) 22 sq cm
- 21.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 24 sq cm (b) 35 sq cm (c) 42 sq cm (d) 12 sq cm
- 22.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 80 sq cm (b) 90 sq cm (c) 36 sq cm (d) 18 sq cm
- 23.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 64 sq cm (c) 81 sq cm (d) 32 sq cm
- 24.A rectangle is 17 cm long and 5 cm wide. What is its perimeter? (a) 44 cm (b) 22 cm (c) 39 cm (d) 85 cm
- 25.A rectangle has an area of 28 sq cm and a length of 14 cm. What is its width? (a) 4 cm (b) 14 cm (c) 2 cm (d) 3 cm
- 26.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 72 sq cm (b) 63 sq cm (c) 16 sq cm (d) 32 sq cm
- 27.A rectangle is 18 cm long and 4 cm wide. What is its perimeter? (a) 40 cm (b) 22 cm (c) 44 cm (d) 72 cm
- 28.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 30 sq cm (b) 12 sq cm (c) 20 sq cm (d) 24 sq cm
- 29.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 11 cm (b) 20 cm (c) 99 cm (d) 10 cm
- 30.A rectangle is 13 cm long and 10 cm wide. What is its area? (a) 46 sq cm (b) 23 sq cm (c) 130 sq cm (d) 143 sq cm
- 31.A rectangle is 19 cm long and 3 cm wide. What is its area? (a) 76 sq cm (b) 22 sq cm (c) 57 sq cm (d) 44 sq cm
- 32.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 81 sq cm (b) 17 sq cm (c) 34 sq cm (d) 72 sq cm
- 33.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 10 cm (b) 18 cm (c) 96 cm (d) 9 cm
- 34.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
- 35.A rectangle has an area of 30 sq cm and a length of 6 cm. What is its width? (a) 10 cm (b) 24 cm (c) 6 cm (d) 5 cm
- 36.A rectangle is 16 cm long and 9 cm wide. What is its perimeter? (a) 50 cm (b) 25 cm (c) 144 cm (d) 41 cm
- 37.A rectangle has an area of 154 sq cm and a length of 14 cm. What is its width? (a) 12 cm (b) 140 cm (c) 22 cm (d) 11 cm
- 38.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 12 cm (b) 22 cm (c) 11 cm (d) 130 cm
- 39.A rectangle has an area of 84 sq cm and a length of 14 cm. What is its width? (a) 12 cm (b) 70 cm (c) 6 cm (d) 7 cm
- 40.A rectangle is 14 cm long and 8 cm wide. What is its area? (a) 44 sq cm (b) 126 sq cm (c) 22 sq cm (d) 112 sq cm
Answer key
- 48 cm
- 88 sq cm
- 50 cm
- 12 cm
- 49 sq cm
- 46 cm
- 48 cm
- 34 cm
- 34 cm
- 169 sq cm
- 144 sq cm
- 2 cm
- 95 sq cm
- 10 cm
- 32 sq cm
- 100 sq cm
- 196 sq cm
- 3 cm
- 9 cm
- 121 sq cm
- 35 sq cm
- 80 sq cm
- 64 sq cm
- 44 cm
- 2 cm
- 63 sq cm
- 44 cm
- 20 sq cm
- 10 cm
- 130 sq cm
- 57 sq cm
- 72 sq cm
- 9 cm
- 36 sq cm
- 5 cm
- 50 cm
- 11 cm
- 11 cm
- 6 cm
- 112 sq cm
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