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 has an area of 42 sq cm and a length of 7 cm. What is its width? (a) 6 cm (b) 7 cm (c) 12 cm (d) 35 cm
- 2.A rectangle is 16 cm long and 11 cm wide. What is its perimeter? (a) 27 cm (b) 176 cm (c) 43 cm (d) 54 cm
- 3.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 25 cm (b) 16 cm (c) 32 cm (d) 63 cm
- 4.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 28 sq cm (b) 21 sq cm (c) 10 sq cm (d) 20 sq cm
- 5.A rectangle has an area of 108 sq cm and a length of 18 cm. What is its width? (a) 7 cm (b) 90 cm (c) 12 cm (d) 6 cm
- 6.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 121 sq cm (c) 20 sq cm (d) 40 sq cm
- 7.A rectangle has an area of 15 sq cm and a length of 5 cm. What is its width? (a) 6 cm (b) 4 cm (c) 3 cm (d) 10 cm
- 8.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 30 sq cm (c) 10 sq cm (d) 20 sq cm
- 9.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 49 sq cm (c) 12 sq cm (d) 36 sq cm
- 10.A rectangle is 13 cm long and 10 cm wide. What is its area? (a) 143 sq cm (b) 130 sq cm (c) 23 sq cm (d) 46 sq cm
- 11.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 169 sq cm (c) 52 sq cm (d) 196 sq cm
- 12.A rectangle is 12 cm long and 5 cm wide. What is its perimeter? (a) 17 cm (b) 34 cm (c) 29 cm (d) 60 cm
- 13.A rectangle is 12 cm long and 7 cm wide. What is its area? (a) 38 sq cm (b) 84 sq cm (c) 96 sq cm (d) 19 sq cm
- 14.A rectangle is 12 cm long and 3 cm wide. What is its perimeter? (a) 15 cm (b) 27 cm (c) 36 cm (d) 30 cm
- 15.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 16 sq cm (b) 63 sq cm (c) 32 sq cm (d) 72 sq cm
- 16.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 22 sq cm (c) 121 sq cm (d) 44 sq cm
- 17.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 42 cm (b) 13 cm (c) 20 cm (d) 26 cm
- 18.A rectangle is 16 cm long and 9 cm wide. What is its area? (a) 25 sq cm (b) 160 sq cm (c) 144 sq cm (d) 50 sq cm
- 19.A rectangle is 12 cm long and 4 cm wide. What is its perimeter? (a) 32 cm (b) 28 cm (c) 16 cm (d) 48 cm
- 20.A rectangle has an area of 56 sq cm and a length of 14 cm. What is its width? (a) 8 cm (b) 42 cm (c) 5 cm (d) 4 cm
- 21.A rectangle is 14 cm long and 4 cm wide. What is its perimeter? (a) 36 cm (b) 18 cm (c) 32 cm (d) 56 cm
- 22.A rectangle has an area of 90 sq cm and a length of 10 cm. What is its width? (a) 80 cm (b) 10 cm (c) 9 cm (d) 18 cm
- 23.A rectangle is 12 cm long and 11 cm wide. What is its area? (a) 144 sq cm (b) 46 sq cm (c) 132 sq cm (d) 23 sq cm
- 24.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 13 sq cm (b) 42 sq cm (c) 26 sq cm (d) 49 sq cm
- 25.A rectangle is 13 cm long and 2 cm wide. What is its area? (a) 26 sq cm (b) 39 sq cm (c) 30 sq cm (d) 15 sq cm
- 26.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 50 sq cm (b) 14 sq cm (c) 28 sq cm (d) 40 sq cm
- 27.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 13 cm (b) 24 cm (c) 165 cm (d) 12 cm
- 28.A rectangle is 16 cm long and 4 cm wide. What is its area? (a) 64 sq cm (b) 80 sq cm (c) 40 sq cm (d) 20 sq cm
- 29.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 90 sq cm (b) 38 sq cm (c) 100 sq cm (d) 19 sq cm
- 30.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 36 sq cm (b) 22 sq cm (c) 30 sq cm (d) 11 sq cm
- 31.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 24 cm (b) 12 cm (c) 13 cm (d) 154 cm
- 32.A rectangle has an area of 117 sq cm and a length of 13 cm. What is its width? (a) 18 cm (b) 10 cm (c) 9 cm (d) 104 cm
- 33.A rectangle is 19 cm long and 12 cm wide. What is its area? (a) 247 sq cm (b) 228 sq cm (c) 62 sq cm (d) 31 sq cm
- 34.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 11 cm (b) 190 cm (c) 12 cm (d) 22 cm
- 35.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 225 sq cm (c) 196 sq cm (d) 28 sq cm
- 36.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 30 sq cm (b) 50 sq cm (c) 60 sq cm (d) 15 sq cm
- 37.A rectangle has an area of 36 sq cm and a length of 18 cm. What is its width? (a) 18 cm (b) 2 cm (c) 3 cm (d) 4 cm
- 38.A rectangle has an area of 30 sq cm and a length of 15 cm. What is its width? (a) 2 cm (b) 3 cm (c) 4 cm (d) 15 cm
- 39.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 14 sq cm (b) 18 sq cm (c) 9 sq cm (d) 21 sq cm
- 40.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 26 cm (b) 22 cm (c) 13 cm (d) 36 cm
Answer key
- 6 cm
- 54 cm
- 32 cm
- 21 sq cm
- 6 cm
- 100 sq cm
- 3 cm
- 24 sq cm
- 36 sq cm
- 130 sq cm
- 169 sq cm
- 34 cm
- 84 sq cm
- 30 cm
- 63 sq cm
- 121 sq cm
- 26 cm
- 144 sq cm
- 32 cm
- 4 cm
- 36 cm
- 9 cm
- 132 sq cm
- 42 sq cm
- 26 sq cm
- 40 sq cm
- 12 cm
- 64 sq cm
- 90 sq cm
- 30 sq cm
- 12 cm
- 9 cm
- 228 sq cm
- 11 cm
- 196 sq cm
- 50 sq cm
- 2 cm
- 2 cm
- 14 sq cm
- 26 cm
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