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 13 cm long and 2 cm wide. What is its perimeter? (a) 15 cm (b) 26 cm (c) 28 cm (d) 30 cm
- 2.A rectangle has an area of 187 sq cm and a length of 17 cm. What is its width? (a) 12 cm (b) 170 cm (c) 11 cm (d) 22 cm
- 3.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 225 sq cm (c) 30 sq cm (d) 60 sq cm
- 4.A rectangle is 16 cm long and 12 cm wide. What is its area? (a) 208 sq cm (b) 28 sq cm (c) 192 sq cm (d) 56 sq cm
- 5.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 22 cm (b) 130 cm (c) 11 cm (d) 12 cm
- 6.A rectangle has an area of 60 sq cm and a length of 15 cm. What is its width? (a) 4 cm (b) 5 cm (c) 45 cm (d) 8 cm
- 7.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
- 8.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 64 sq cm (c) 14 sq cm (d) 49 sq cm
- 9.A rectangle has an area of 128 sq cm and a length of 16 cm. What is its width? (a) 16 cm (b) 9 cm (c) 8 cm (d) 112 cm
- 10.A rectangle is 12 cm long and 6 cm wide. What is its perimeter? (a) 18 cm (b) 30 cm (c) 72 cm (d) 36 cm
- 11.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 209 cm (b) 12 cm (c) 13 cm (d) 24 cm
- 12.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 20 sq cm (c) 10 sq cm (d) 25 sq cm
- 13.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
- 14.A rectangle is 11 cm long and 2 cm wide. What is its perimeter? (a) 26 cm (b) 24 cm (c) 22 cm (d) 13 cm
- 15.A rectangle is 17 cm long and 8 cm wide. What is its area? (a) 153 sq cm (b) 50 sq cm (c) 136 sq cm (d) 25 sq cm
- 16.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 198 cm (b) 12 cm (c) 13 cm (d) 24 cm
- 17.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 45 sq cm (b) 26 sq cm (c) 13 sq cm (d) 36 sq cm
- 18.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 52 sq cm (c) 196 sq cm (d) 169 sq cm
- 19.A rectangle is 17 cm long and 10 cm wide. What is its area? (a) 27 sq cm (b) 170 sq cm (c) 54 sq cm (d) 187 sq cm
- 20.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 16 cm (c) 10 cm (d) 20 cm
- 21.A rectangle has an area of 88 sq cm and a length of 11 cm. What is its width? (a) 16 cm (b) 8 cm (c) 9 cm (d) 77 cm
- 22.A rectangle is 11 cm long and 7 cm wide. What is its perimeter? (a) 29 cm (b) 18 cm (c) 77 cm (d) 36 cm
- 23.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 36 cm (b) 22 cm (c) 13 cm (d) 26 cm
- 24.A rectangle is 19 cm long and 7 cm wide. What is its perimeter? (a) 133 cm (b) 26 cm (c) 45 cm (d) 52 cm
- 25.A rectangle is 19 cm long and 3 cm wide. What is its perimeter? (a) 57 cm (b) 44 cm (c) 41 cm (d) 22 cm
- 26.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 16 cm (b) 10 cm (c) 20 cm (d) 24 cm
- 27.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 14 sq cm (b) 36 sq cm (c) 24 sq cm (d) 28 sq cm
- 28.A rectangle has an area of 56 sq cm and a length of 14 cm. What is its width? (a) 42 cm (b) 5 cm (c) 4 cm (d) 8 cm
- 29.A rectangle is 15 cm long and 3 cm wide. What is its perimeter? (a) 33 cm (b) 36 cm (c) 45 cm (d) 18 cm
- 30.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 30 sq cm (b) 54 sq cm (c) 63 sq cm (d) 15 sq cm
- 31.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
- 32.A rectangle is 10 cm long and 9 cm wide. What is its perimeter? (a) 90 cm (b) 29 cm (c) 19 cm (d) 38 cm
- 33.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 40 sq cm (c) 121 sq cm (d) 20 sq cm
- 34.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 17 sq cm (b) 70 sq cm (c) 34 sq cm (d) 80 sq cm
- 35.A rectangle has an area of 84 sq cm and a length of 14 cm. What is its width? (a) 70 cm (b) 6 cm (c) 7 cm (d) 12 cm
- 36.A rectangle has an area of 21 sq cm and a length of 7 cm. What is its width? (a) 14 cm (b) 4 cm (c) 3 cm (d) 6 cm
- 37.A rectangle is 20 cm long and 2 cm wide. What is its area? (a) 22 sq cm (b) 60 sq cm (c) 40 sq cm (d) 44 sq cm
- 38.A rectangle is 20 cm long and 6 cm wide. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 140 sq cm (d) 120 sq cm
- 39.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 27 sq cm (c) 11 sq cm (d) 22 sq cm
- 40.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 48 sq cm (c) 169 sq cm (d) 144 sq cm
Answer key
- 30 cm
- 11 cm
- 225 sq cm
- 192 sq cm
- 11 cm
- 4 cm
- 36 sq cm
- 49 sq cm
- 8 cm
- 36 cm
- 12 cm
- 25 sq cm
- 196 sq cm
- 26 cm
- 136 sq cm
- 12 cm
- 36 sq cm
- 169 sq cm
- 170 sq cm
- 20 cm
- 8 cm
- 36 cm
- 26 cm
- 52 cm
- 44 cm
- 20 cm
- 24 sq cm
- 4 cm
- 36 cm
- 54 sq cm
- 121 sq cm
- 38 cm
- 100 sq cm
- 70 sq cm
- 6 cm
- 3 cm
- 40 sq cm
- 120 sq cm
- 18 sq cm
- 144 sq cm
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