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) 26 sq cm (b) 52 sq cm (c) 169 sq cm (d) 196 sq cm
- 2.A rectangle is 20 cm long and 3 cm wide. What is its area? (a) 46 sq cm (b) 60 sq cm (c) 80 sq cm (d) 23 sq cm
- 3.A rectangle is 19 cm long and 5 cm wide. What is its perimeter? (a) 24 cm (b) 95 cm (c) 43 cm (d) 48 cm
- 4.A rectangle is 19 cm long and 4 cm wide. What is its area? (a) 46 sq cm (b) 23 sq cm (c) 95 sq cm (d) 76 sq cm
- 5.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 169 sq cm (c) 24 sq cm (d) 144 sq cm
- 6.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 225 sq cm (d) 256 sq cm
- 7.A rectangle is 17 cm long and 10 cm wide. What is its perimeter? (a) 27 cm (b) 44 cm (c) 54 cm (d) 170 cm
- 8.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 54 sq cm (b) 63 sq cm (c) 30 sq cm (d) 15 sq cm
- 9.A rectangle is 11 cm long and 5 cm wide. What is its perimeter? (a) 55 cm (b) 16 cm (c) 27 cm (d) 32 cm
- 10.A rectangle is 20 cm long and 11 cm wide. What is its perimeter? (a) 31 cm (b) 51 cm (c) 62 cm (d) 220 cm
- 11.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 40 sq cm (d) 50 sq cm
- 12.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 56 sq cm (c) 28 sq cm (d) 225 sq cm
- 13.A rectangle is 18 cm long and 4 cm wide. What is its area? (a) 44 sq cm (b) 90 sq cm (c) 22 sq cm (d) 72 sq cm
- 14.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 10 sq cm (c) 25 sq cm (d) 20 sq cm
- 15.A rectangle is 15 cm long and 4 cm wide. What is its area? (a) 60 sq cm (b) 75 sq cm (c) 19 sq cm (d) 38 sq cm
- 16.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 11 cm (b) 30 cm (c) 22 cm (d) 17 cm
- 17.A rectangle has an area of 20 sq cm and a length of 10 cm. What is its width? (a) 10 cm (b) 3 cm (c) 2 cm (d) 4 cm
- 18.A rectangle is 14 cm long and 6 cm wide. What is its area? (a) 84 sq cm (b) 40 sq cm (c) 98 sq cm (d) 20 sq cm
- 19.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 24 cm (b) 13 cm (c) 209 cm (d) 12 cm
- 20.A rectangle is 19 cm long and 7 cm wide. What is its perimeter? (a) 26 cm (b) 45 cm (c) 52 cm (d) 133 cm
- 21.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) 4 cm (d) 17 cm
- 22.A rectangle is 17 cm long and 3 cm wide. What is its perimeter? (a) 37 cm (b) 40 cm (c) 51 cm (d) 20 cm
- 23.A rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 30 cm (b) 26 cm (c) 23 cm (d) 13 cm
- 24.A rectangle is 12 cm long and 10 cm wide. What is its area? (a) 132 sq cm (b) 22 sq cm (c) 44 sq cm (d) 120 sq cm
- 25.A rectangle has an area of 112 sq cm and a length of 14 cm. What is its width? (a) 8 cm (b) 9 cm (c) 98 cm (d) 16 cm
- 26.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
- 27.A rectangle is 19 cm long and 2 cm wide. What is its area? (a) 38 sq cm (b) 57 sq cm (c) 42 sq cm (d) 21 sq cm
- 28.A rectangle has an area of 192 sq cm and a length of 16 cm. What is its width? (a) 24 cm (b) 176 cm (c) 12 cm (d) 13 cm
- 29.A rectangle has an area of 42 sq cm and a length of 7 cm. What is its width? (a) 7 cm (b) 35 cm (c) 6 cm (d) 12 cm
- 30.A rectangle is 11 cm long and 8 cm wide. What is its area? (a) 99 sq cm (b) 19 sq cm (c) 38 sq cm (d) 88 sq cm
- 31.A rectangle is 17 cm long and 7 cm wide. What is its perimeter? (a) 24 cm (b) 48 cm (c) 119 cm (d) 41 cm
- 32.A rectangle has an area of 60 sq cm and a length of 10 cm. What is its width? (a) 50 cm (b) 6 cm (c) 7 cm (d) 12 cm
- 33.A rectangle is 12 cm long and 4 cm wide. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 60 sq cm (d) 48 sq cm
- 34.A rectangle has an area of 10 sq cm and a length of 5 cm. What is its width? (a) 2 cm (b) 3 cm (c) 4 cm (d) 5 cm
- 35.A rectangle is 13 cm long and 11 cm wide. What is its area? (a) 24 sq cm (b) 156 sq cm (c) 48 sq cm (d) 143 sq cm
- 36.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 64 sq cm (d) 49 sq cm
- 37.A rectangle has an area of 120 sq cm and a length of 15 cm. What is its width? (a) 9 cm (b) 105 cm (c) 8 cm (d) 16 cm
- 38.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 32 sq cm (c) 16 sq cm (d) 81 sq cm
- 39.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 144 sq cm (c) 22 sq cm (d) 121 sq cm
- 40.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 28 cm (b) 14 cm (c) 22 cm (d) 48 cm
Answer key
- 169 sq cm
- 60 sq cm
- 48 cm
- 76 sq cm
- 144 sq cm
- 225 sq cm
- 54 cm
- 54 sq cm
- 32 cm
- 62 cm
- 40 sq cm
- 196 sq cm
- 72 sq cm
- 25 sq cm
- 60 sq cm
- 22 cm
- 2 cm
- 84 sq cm
- 12 cm
- 52 cm
- 2 cm
- 40 cm
- 26 cm
- 120 sq cm
- 8 cm
- 44 cm
- 38 sq cm
- 12 cm
- 6 cm
- 88 sq cm
- 48 cm
- 6 cm
- 48 sq cm
- 2 cm
- 143 sq cm
- 49 sq cm
- 8 cm
- 64 sq cm
- 121 sq cm
- 28 cm
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