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 56 cm. What is its area? (a) 28 sq cm (b) 196 sq cm (c) 225 sq cm (d) 56 sq cm
- 2.A rectangle has an area of 133 sq cm and a length of 19 cm. What is its width? (a) 8 cm (b) 14 cm (c) 114 cm (d) 7 cm
- 3.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 36 sq cm (b) 12 sq cm (c) 24 sq cm (d) 27 sq cm
- 4.A rectangle is 16 cm long and 3 cm wide. What is its area? (a) 38 sq cm (b) 19 sq cm (c) 48 sq cm (d) 64 sq cm
- 5.A rectangle has an area of 54 sq cm and a length of 9 cm. What is its width? (a) 12 cm (b) 7 cm (c) 6 cm (d) 45 cm
- 6.A rectangle is 20 cm long and 10 cm wide. What is its area? (a) 30 sq cm (b) 60 sq cm (c) 200 sq cm (d) 220 sq cm
- 7.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 225 sq cm (c) 30 sq cm (d) 256 sq cm
- 8.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 48 sq cm (d) 14 sq cm
- 9.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 196 sq cm (c) 169 sq cm (d) 52 sq cm
- 10.A rectangle is 12 cm long and 7 cm wide. What is its perimeter? (a) 19 cm (b) 31 cm (c) 84 cm (d) 38 cm
- 11.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 13 cm (b) 12 cm (c) 24 cm (d) 209 cm
- 12.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 9 sq cm (b) 24 sq cm (c) 19 sq cm (d) 18 sq cm
- 13.A rectangle has an area of 20 sq cm and a length of 5 cm. What is its width? (a) 5 cm (b) 4 cm (c) 15 cm (d) 8 cm
- 14.A rectangle has an area of 98 sq cm and a length of 14 cm. What is its width? (a) 8 cm (b) 7 cm (c) 84 cm (d) 14 cm
- 15.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 100 sq cm (c) 20 sq cm (d) 121 sq cm
- 16.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 10 sq cm (c) 20 sq cm (d) 36 sq cm
- 17.A rectangle is 11 cm long and 5 cm wide. What is its area? (a) 66 sq cm (b) 32 sq cm (c) 55 sq cm (d) 16 sq cm
- 18.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 13 sq cm (b) 26 sq cm (c) 30 sq cm (d) 40 sq cm
- 19.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 14 cm (b) 28 cm (c) 48 cm (d) 22 cm
- 20.A rectangle is 16 cm long and 11 cm wide. What is its perimeter? (a) 43 cm (b) 176 cm (c) 27 cm (d) 54 cm
- 21.A rectangle is 20 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 80 cm (c) 48 cm (d) 44 cm
- 22.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 36 sq cm (c) 81 sq cm (d) 18 sq cm
- 23.A rectangle is 17 cm long and 10 cm wide. What is its area? (a) 187 sq cm (b) 170 sq cm (c) 54 sq cm (d) 27 sq cm
- 24.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 72 cm (b) 17 cm (c) 26 cm (d) 34 cm
- 25.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 14 sq cm (c) 28 sq cm (d) 49 sq cm
- 26.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 13 sq cm (b) 26 sq cm (c) 40 sq cm (d) 48 sq cm
- 27.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 117 cm (b) 10 cm (c) 20 cm (d) 11 cm
- 28.A rectangle is 14 cm long and 8 cm wide. What is its perimeter? (a) 22 cm (b) 36 cm (c) 44 cm (d) 112 cm
- 29.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 49 sq cm (c) 12 sq cm (d) 24 sq cm
- 30.A rectangle is 19 cm long and 12 cm wide. What is its perimeter? (a) 50 cm (b) 31 cm (c) 62 cm (d) 228 cm
- 31.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 12 cm (b) 21 cm (c) 27 cm (d) 24 cm
- 32.A rectangle has an area of 160 sq cm and a length of 20 cm. What is its width? (a) 16 cm (b) 140 cm (c) 9 cm (d) 8 cm
- 33.A rectangle has an area of 45 sq cm and a length of 15 cm. What is its width? (a) 6 cm (b) 30 cm (c) 3 cm (d) 4 cm
- 34.A rectangle has an area of 36 sq cm and a length of 12 cm. What is its width? (a) 4 cm (b) 6 cm (c) 24 cm (d) 3 cm
- 35.A rectangle is 14 cm long and 8 cm wide. What is its area? (a) 22 sq cm (b) 44 sq cm (c) 112 sq cm (d) 126 sq cm
- 36.A rectangle is 16 cm long and 4 cm wide. What is its perimeter? (a) 40 cm (b) 36 cm (c) 20 cm (d) 64 cm
- 37.A rectangle is 16 cm long and 10 cm wide. What is its area? (a) 176 sq cm (b) 52 sq cm (c) 160 sq cm (d) 26 sq cm
- 38.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
- 39.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 13 cm (b) 24 cm (c) 12 cm (d) 154 cm
- 40.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 121 sq cm (c) 44 sq cm (d) 144 sq cm
Answer key
- 196 sq cm
- 7 cm
- 27 sq cm
- 48 sq cm
- 6 cm
- 200 sq cm
- 225 sq cm
- 48 sq cm
- 169 sq cm
- 38 cm
- 12 cm
- 18 sq cm
- 4 cm
- 7 cm
- 100 sq cm
- 25 sq cm
- 55 sq cm
- 30 sq cm
- 28 cm
- 54 cm
- 48 cm
- 81 sq cm
- 170 sq cm
- 34 cm
- 49 sq cm
- 40 sq cm
- 10 cm
- 44 cm
- 36 sq cm
- 62 cm
- 24 cm
- 8 cm
- 3 cm
- 3 cm
- 112 sq cm
- 40 cm
- 160 sq cm
- 54 cm
- 12 cm
- 121 sq cm
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