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 80 sq cm and a length of 10 cm. What is its width? (a) 70 cm (b) 8 cm (c) 16 cm (d) 9 cm
- 2.A rectangle is 17 cm long and 6 cm wide. What is its perimeter? (a) 102 cm (b) 23 cm (c) 40 cm (d) 46 cm
- 3.A rectangle has an area of 150 sq cm and a length of 15 cm. What is its width? (a) 11 cm (b) 135 cm (c) 10 cm (d) 20 cm
- 4.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 8 cm (b) 12 cm (c) 16 cm (d) 14 cm
- 5.A rectangle has an area of 20 sq cm and a length of 5 cm. What is its width? (a) 8 cm (b) 4 cm (c) 15 cm (d) 5 cm
- 6.A rectangle has an area of 91 sq cm and a length of 13 cm. What is its width? (a) 8 cm (b) 7 cm (c) 78 cm (d) 14 cm
- 7.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 30 cm (b) 11 cm (c) 17 cm (d) 22 cm
- 8.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 169 sq cm (c) 52 sq cm (d) 26 sq cm
- 9.A rectangle is 20 cm long and 12 cm wide. What is its perimeter? (a) 32 cm (b) 52 cm (c) 240 cm (d) 64 cm
- 10.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 48 sq cm (d) 56 sq cm
- 11.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 49 sq cm (d) 36 sq cm
- 12.A rectangle is 15 cm long and 11 cm wide. What is its area? (a) 26 sq cm (b) 165 sq cm (c) 52 sq cm (d) 180 sq cm
- 13.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 15 cm (b) 19 cm (c) 18 cm (d) 9 cm
- 14.A rectangle has an area of 192 sq cm and a length of 16 cm. What is its width? (a) 12 cm (b) 13 cm (c) 176 cm (d) 24 cm
- 15.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 144 sq cm (c) 24 sq cm (d) 169 sq cm
- 16.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 36 sq cm (d) 25 sq cm
- 17.A rectangle is 11 cm long and 3 cm wide. What is its perimeter? (a) 33 cm (b) 14 cm (c) 28 cm (d) 25 cm
- 18.A rectangle is 13 cm long and 10 cm wide. What is its area? (a) 46 sq cm (b) 143 sq cm (c) 130 sq cm (d) 23 sq cm
- 19.A rectangle has an area of 198 sq cm and a length of 18 cm. What is its width? (a) 180 cm (b) 11 cm (c) 12 cm (d) 22 cm
- 20.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 18 cm (c) 14 cm (d) 9 cm
- 21.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its width? (a) 4 cm (b) 8 cm (c) 5 cm (d) 21 cm
- 22.A rectangle is 15 cm long and 2 cm wide. What is its perimeter? (a) 17 cm (b) 30 cm (c) 32 cm (d) 34 cm
- 23.A rectangle is 14 cm long and 6 cm wide. What is its area? (a) 20 sq cm (b) 84 sq cm (c) 40 sq cm (d) 98 sq cm
- 24.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 20 cm (c) 18 cm (d) 11 cm
- 25.A rectangle is 17 cm long and 5 cm wide. What is its area? (a) 22 sq cm (b) 102 sq cm (c) 44 sq cm (d) 85 sq cm
- 26.A rectangle is 20 cm long and 12 cm wide. What is its area? (a) 64 sq cm (b) 32 sq cm (c) 240 sq cm (d) 260 sq cm
- 27.A rectangle is 12 cm long and 3 cm wide. What is its area? (a) 36 sq cm (b) 48 sq cm (c) 30 sq cm (d) 15 sq cm
- 28.A rectangle is 20 cm long and 3 cm wide. What is its perimeter? (a) 23 cm (b) 43 cm (c) 60 cm (d) 46 cm
- 29.A rectangle is 15 cm long and 10 cm wide. What is its area? (a) 165 sq cm (b) 25 sq cm (c) 50 sq cm (d) 150 sq cm
- 30.A rectangle is 14 cm long and 11 cm wide. What is its area? (a) 154 sq cm (b) 25 sq cm (c) 50 sq cm (d) 168 sq cm
- 31.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 22 sq cm (c) 11 sq cm (d) 27 sq cm
- 32.A rectangle is 12 cm long and 4 cm wide. What is its area? (a) 16 sq cm (b) 60 sq cm (c) 48 sq cm (d) 32 sq 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) 31 sq cm (d) 62 sq cm
- 34.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 32 cm (b) 25 cm (c) 16 cm (d) 63 cm
- 35.A rectangle has an area of 100 sq cm and a length of 20 cm. What is its width? (a) 5 cm (b) 6 cm (c) 80 cm (d) 10 cm
- 36.A rectangle is 17 cm long and 3 cm wide. What is its perimeter? (a) 37 cm (b) 40 cm (c) 51 cm (d) 20 cm
- 37.A rectangle has an area of 6 sq cm and a length of 3 cm. What is its width? (a) 4 cm (b) 3 cm (c) 1 cm (d) 2 cm
- 38.A rectangle is 15 cm long and 10 cm wide. What is its perimeter? (a) 150 cm (b) 50 cm (c) 40 cm (d) 25 cm
- 39.A rectangle has an area of 171 sq cm and a length of 19 cm. What is its width? (a) 18 cm (b) 9 cm (c) 10 cm (d) 152 cm
- 40.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 121 sq cm (c) 144 sq cm (d) 44 sq cm
Answer key
- 8 cm
- 46 cm
- 10 cm
- 16 cm
- 4 cm
- 7 cm
- 22 cm
- 169 sq cm
- 64 cm
- 48 sq cm
- 36 sq cm
- 165 sq cm
- 18 cm
- 12 cm
- 144 sq cm
- 25 sq cm
- 28 cm
- 130 sq cm
- 11 cm
- 18 cm
- 4 cm
- 34 cm
- 84 sq cm
- 22 cm
- 85 sq cm
- 240 sq cm
- 36 sq cm
- 46 cm
- 150 sq cm
- 154 sq cm
- 18 sq cm
- 48 sq cm
- 228 sq cm
- 32 cm
- 5 cm
- 40 cm
- 2 cm
- 50 cm
- 9 cm
- 121 sq cm
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