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 8 cm long and 5 cm wide. What is its perimeter? (a) 21 cm (b) 26 cm (c) 13 cm (d) 40 cm
- 2.A rectangle has an area of 117 sq cm and a length of 13 cm. What is its width? (a) 104 cm (b) 18 cm (c) 10 cm (d) 9 cm
- 3.A rectangle is 11 cm long and 9 cm wide. What is its area? (a) 99 sq cm (b) 20 sq cm (c) 110 sq cm (d) 40 sq cm
- 4.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 90 sq cm (b) 36 sq cm (c) 80 sq cm (d) 18 sq cm
- 5.A rectangle has an area of 72 sq cm and a length of 18 cm. What is its width? (a) 54 cm (b) 8 cm (c) 5 cm (d) 4 cm
- 6.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 21 sq cm (d) 28 sq cm
- 7.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 16 cm (b) 25 cm (c) 63 cm (d) 32 cm
- 8.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 121 sq cm (d) 100 sq cm
- 9.A rectangle has an area of 192 sq cm and a length of 16 cm. What is its width? (a) 176 cm (b) 13 cm (c) 12 cm (d) 24 cm
- 10.A rectangle is 10 cm long and 6 cm wide. What is its perimeter? (a) 26 cm (b) 16 cm (c) 32 cm (d) 60 cm
- 11.A rectangle is 15 cm long and 12 cm wide. What is its perimeter? (a) 27 cm (b) 54 cm (c) 180 cm (d) 42 cm
- 12.A rectangle has an area of 70 sq cm and a length of 10 cm. What is its width? (a) 14 cm (b) 8 cm (c) 7 cm (d) 60 cm
- 13.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
- 14.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 50 sq cm (b) 30 sq cm (c) 15 sq cm (d) 60 sq cm
- 15.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
- 16.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 45 cm (b) 23 cm (c) 28 cm (d) 14 cm
- 17.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 9 sq cm (b) 21 sq cm (c) 18 sq cm (d) 14 sq cm
- 18.A rectangle is 15 cm long and 2 cm wide. What is its area? (a) 17 sq cm (b) 34 sq cm (c) 45 sq cm (d) 30 sq cm
- 19.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 16 sq cm (c) 12 sq cm (d) 8 sq cm
- 20.A rectangle is 15 cm long and 3 cm wide. What is its perimeter? (a) 18 cm (b) 45 cm (c) 36 cm (d) 33 cm
- 21.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 18 sq cm (c) 81 sq cm (d) 36 sq cm
- 22.A rectangle has an area of 35 sq cm and a length of 7 cm. What is its width? (a) 28 cm (b) 6 cm (c) 5 cm (d) 10 cm
- 23.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
- 24.A rectangle has an area of 80 sq cm and a length of 10 cm. What is its width? (a) 8 cm (b) 16 cm (c) 9 cm (d) 70 cm
- 25.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 30 sq cm (b) 10 sq cm (c) 24 sq cm (d) 20 sq cm
- 26.A rectangle has an area of 33 sq cm and a length of 11 cm. What is its width? (a) 6 cm (b) 3 cm (c) 4 cm (d) 22 cm
- 27.A rectangle is 14 cm long and 7 cm wide. What is its area? (a) 21 sq cm (b) 112 sq cm (c) 42 sq cm (d) 98 sq cm
- 28.A rectangle is 12 cm long and 2 cm wide. What is its perimeter? (a) 24 cm (b) 14 cm (c) 26 cm (d) 28 cm
- 29.A rectangle is 16 cm long and 12 cm wide. What is its area? (a) 208 sq cm (b) 28 sq cm (c) 56 sq cm (d) 192 sq cm
- 30.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 81 sq cm (c) 16 sq cm (d) 32 sq cm
- 31.A rectangle is 14 cm long and 6 cm wide. What is its area? (a) 98 sq cm (b) 84 sq cm (c) 20 sq cm (d) 40 sq cm
- 32.A rectangle has an area of 187 sq cm and a length of 17 cm. What is its width? (a) 22 cm (b) 11 cm (c) 12 cm (d) 170 cm
- 33.A rectangle is 13 cm long and 12 cm wide. What is its area? (a) 169 sq cm (b) 50 sq cm (c) 25 sq cm (d) 156 sq cm
- 34.A rectangle is 17 cm long and 8 cm wide. What is its area? (a) 50 sq cm (b) 25 sq cm (c) 153 sq cm (d) 136 sq cm
- 35.A rectangle is 14 cm long and 5 cm wide. What is its perimeter? (a) 38 cm (b) 33 cm (c) 70 cm (d) 19 cm
- 36.A rectangle is 11 cm long and 6 cm wide. What is its area? (a) 77 sq cm (b) 17 sq cm (c) 66 sq cm (d) 34 sq cm
- 37.A rectangle is 19 cm long and 3 cm wide. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 76 sq cm (d) 57 sq cm
- 38.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 144 sq cm (c) 44 sq cm (d) 121 sq cm
- 39.A rectangle has an area of 45 sq cm and a length of 9 cm. What is its width? (a) 5 cm (b) 36 cm (c) 6 cm (d) 10 cm
- 40.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 196 sq cm (c) 28 sq cm (d) 56 sq cm
Answer key
- 26 cm
- 9 cm
- 99 sq cm
- 80 sq cm
- 4 cm
- 21 sq cm
- 32 cm
- 100 sq cm
- 12 cm
- 32 cm
- 54 cm
- 7 cm
- 36 sq cm
- 50 sq cm
- 144 sq cm
- 28 cm
- 14 sq cm
- 30 sq cm
- 12 sq cm
- 36 cm
- 81 sq cm
- 5 cm
- 225 sq cm
- 8 cm
- 24 sq cm
- 3 cm
- 98 sq cm
- 28 cm
- 192 sq cm
- 64 sq cm
- 84 sq cm
- 11 cm
- 156 sq cm
- 136 sq cm
- 38 cm
- 66 sq cm
- 57 sq cm
- 121 sq cm
- 5 cm
- 196 sq cm
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