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 20 cm long and 5 cm wide. What is its perimeter? (a) 100 cm (b) 45 cm (c) 50 cm (d) 25 cm
- 2.A rectangle is 17 cm long and 2 cm wide. What is its area? (a) 38 sq cm (b) 19 sq cm (c) 34 sq cm (d) 51 sq cm
- 3.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 22 sq cm (b) 36 sq cm (c) 11 sq cm (d) 30 sq cm
- 4.A rectangle has an area of 128 sq cm and a length of 16 cm. What is its width? (a) 16 cm (b) 112 cm (c) 9 cm (d) 8 cm
- 5.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 16 sq cm (c) 10 sq cm (d) 20 sq cm
- 6.A rectangle has an area of 112 sq cm and a length of 14 cm. What is its width? (a) 98 cm (b) 16 cm (c) 8 cm (d) 9 cm
- 7.A rectangle has an area of 72 sq cm and a length of 9 cm. What is its width? (a) 8 cm (b) 63 cm (c) 9 cm (d) 16 cm
- 8.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 117 sq cm (b) 104 sq cm (c) 21 sq cm (d) 42 sq cm
- 9.A rectangle is 15 cm long and 6 cm wide. What is its perimeter? (a) 36 cm (b) 21 cm (c) 90 cm (d) 42 cm
- 10.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 26 sq cm (c) 52 sq cm (d) 169 sq cm
- 11.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 36 sq cm (c) 10 sq cm (d) 25 sq cm
- 12.A rectangle is 12 cm long and 8 cm wide. What is its area? (a) 96 sq cm (b) 108 sq cm (c) 40 sq cm (d) 20 sq cm
- 13.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 14 sq cm (b) 48 sq cm (c) 28 sq cm (d) 56 sq cm
- 14.A rectangle has an area of 42 sq cm and a length of 7 cm. What is its width? (a) 6 cm (b) 35 cm (c) 7 cm (d) 12 cm
- 15.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 33 sq cm (b) 26 sq cm (c) 13 sq cm (d) 22 sq cm
- 16.A rectangle is 16 cm long and 4 cm wide. What is its area? (a) 40 sq cm (b) 80 sq cm (c) 20 sq cm (d) 64 sq cm
- 17.A rectangle is 20 cm long and 4 cm wide. What is its perimeter? (a) 44 cm (b) 24 cm (c) 80 cm (d) 48 cm
- 18.A rectangle has an area of 44 sq cm and a length of 11 cm. What is its width? (a) 5 cm (b) 4 cm (c) 33 cm (d) 8 cm
- 19.A rectangle is 19 cm long and 11 cm wide. What is its area? (a) 60 sq cm (b) 209 sq cm (c) 228 sq cm (d) 30 sq cm
- 20.A rectangle has an area of 90 sq cm and a length of 18 cm. What is its width? (a) 10 cm (b) 6 cm (c) 72 cm (d) 5 cm
- 21.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 225 sq cm (c) 56 sq cm (d) 28 sq cm
- 22.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 28 sq cm (b) 36 sq cm (c) 14 sq cm (d) 24 sq cm
- 23.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 11 sq cm (b) 32 sq cm (c) 24 sq cm (d) 22 sq cm
- 24.A rectangle is 13 cm long and 9 cm wide. What is its perimeter? (a) 117 cm (b) 44 cm (c) 22 cm (d) 35 cm
- 25.A rectangle is 18 cm long and 8 cm wide. What is its area? (a) 162 sq cm (b) 26 sq cm (c) 52 sq cm (d) 144 sq cm
- 26.A rectangle is 13 cm long and 3 cm wide. What is its perimeter? (a) 29 cm (b) 32 cm (c) 39 cm (d) 16 cm
- 27.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) 12 cm (d) 7 cm
- 28.A rectangle is 10 cm long and 5 cm wide. What is its perimeter? (a) 30 cm (b) 50 cm (c) 25 cm (d) 15 cm
- 29.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 36 cm (b) 13 cm (c) 26 cm (d) 22 cm
- 30.A rectangle is 17 cm long and 5 cm wide. What is its perimeter? (a) 39 cm (b) 44 cm (c) 85 cm (d) 22 cm
- 31.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 20 cm (b) 21 cm (c) 10 cm (d) 17 cm
- 32.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 14 sq cm (c) 49 sq cm (d) 28 sq cm
- 33.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 17 sq cm (b) 56 sq cm (c) 42 sq cm (d) 34 sq cm
- 34.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 27 cm (b) 12 cm (c) 21 cm (d) 24 cm
- 35.A rectangle has an area of 6 sq cm and a length of 3 cm. What is its width? (a) 4 cm (b) 2 cm (c) 1 cm (d) 3 cm
- 36.A rectangle is 15 cm long and 4 cm wide. What is its perimeter? (a) 34 cm (b) 19 cm (c) 38 cm (d) 60 cm
- 37.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
- 38.A rectangle is 17 cm long and 3 cm wide. What is its area? (a) 68 sq cm (b) 40 sq cm (c) 20 sq cm (d) 51 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 32 cm. What is its area? (a) 81 sq cm (b) 32 sq cm (c) 16 sq cm (d) 64 sq cm
Answer key
- 50 cm
- 34 sq cm
- 30 sq cm
- 8 cm
- 16 sq cm
- 8 cm
- 8 cm
- 104 sq cm
- 42 cm
- 169 sq cm
- 25 sq cm
- 96 sq cm
- 48 sq cm
- 6 cm
- 22 sq cm
- 64 sq cm
- 48 cm
- 4 cm
- 209 sq cm
- 5 cm
- 196 sq cm
- 24 sq cm
- 24 sq cm
- 44 cm
- 144 sq cm
- 32 cm
- 6 cm
- 30 cm
- 26 cm
- 44 cm
- 20 cm
- 49 sq cm
- 42 sq cm
- 24 cm
- 2 cm
- 38 cm
- 36 sq cm
- 51 sq cm
- 18 sq cm
- 64 sq cm
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