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 12 cm long and 7 cm wide. What is its area? (a) 96 sq cm (b) 19 sq cm (c) 84 sq cm (d) 38 sq cm
- 2.A rectangle is 20 cm long and 11 cm wide. What is its perimeter? (a) 31 cm (b) 220 cm (c) 51 cm (d) 62 cm
- 3.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 24 cm (b) 21 cm (c) 12 cm (d) 27 cm
- 4.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 11 cm (b) 22 cm (c) 17 cm (d) 30 cm
- 5.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 17 sq cm (b) 81 sq cm (c) 72 sq cm (d) 34 sq cm
- 6.A rectangle is 20 cm long and 11 cm wide. What is its area? (a) 31 sq cm (b) 62 sq cm (c) 220 sq cm (d) 240 sq cm
- 7.A rectangle is 17 cm long and 5 cm wide. What is its area? (a) 85 sq cm (b) 44 sq cm (c) 22 sq cm (d) 102 sq cm
- 8.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 121 sq cm (c) 20 sq cm (d) 100 sq cm
- 9.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 20 sq cm (c) 25 sq cm (d) 10 sq cm
- 10.A rectangle has an area of 144 sq cm and a length of 18 cm. What is its width? (a) 8 cm (b) 16 cm (c) 9 cm (d) 126 cm
- 11.A rectangle is 14 cm long and 4 cm wide. What is its area? (a) 36 sq cm (b) 70 sq cm (c) 56 sq cm (d) 18 sq cm
- 12.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 12 cm (c) 16 cm (d) 8 cm
- 13.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 52 sq cm (c) 169 sq cm (d) 196 sq cm
- 14.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 20 cm (b) 108 cm (c) 11 cm (d) 10 cm
- 15.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 45 sq cm (b) 54 sq cm (c) 28 sq cm (d) 14 sq cm
- 16.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 28 sq cm (d) 21 sq cm
- 17.A rectangle has an area of 120 sq cm and a length of 20 cm. What is its width? (a) 100 cm (b) 7 cm (c) 6 cm (d) 12 cm
- 18.A rectangle is 15 cm long and 4 cm wide. What is its perimeter? (a) 38 cm (b) 34 cm (c) 19 cm (d) 60 cm
- 19.A rectangle is 14 cm long and 7 cm wide. What is its area? (a) 21 sq cm (b) 42 sq cm (c) 112 sq cm (d) 98 sq cm
- 20.A rectangle has an area of 160 sq cm and a length of 16 cm. What is its width? (a) 11 cm (b) 20 cm (c) 144 cm (d) 10 cm
- 21.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
- 22.A rectangle is 15 cm long and 4 cm wide. What is its area? (a) 38 sq cm (b) 60 sq cm (c) 75 sq cm (d) 19 sq cm
- 23.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 34 sq cm (b) 70 sq cm (c) 17 sq cm (d) 80 sq cm
- 24.A rectangle has an area of 102 sq cm and a length of 17 cm. What is its width? (a) 12 cm (b) 7 cm (c) 6 cm (d) 85 cm
- 25.A rectangle has an area of 42 sq cm and a length of 7 cm. What is its width? (a) 7 cm (b) 6 cm (c) 35 cm (d) 12 cm
- 26.A rectangle is 10 cm long and 8 cm wide. What is its perimeter? (a) 80 cm (b) 18 cm (c) 36 cm (d) 28 cm
- 27.A rectangle has an area of 80 sq cm and a length of 16 cm. What is its width? (a) 10 cm (b) 5 cm (c) 64 cm (d) 6 cm
- 28.A rectangle is 17 cm long and 8 cm wide. What is its area? (a) 25 sq cm (b) 136 sq cm (c) 153 sq cm (d) 50 sq cm
- 29.A rectangle has an area of 117 sq cm and a length of 13 cm. What is its width? (a) 9 cm (b) 104 cm (c) 10 cm (d) 18 cm
- 30.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 36 sq cm (b) 13 sq cm (c) 26 sq cm (d) 45 sq cm
- 31.A rectangle has an area of 96 sq cm and a length of 12 cm. What is its width? (a) 16 cm (b) 8 cm (c) 9 cm (d) 84 cm
- 32.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 64 sq cm (c) 32 sq cm (d) 81 sq cm
- 33.A rectangle is 10 cm long and 4 cm wide. What is its perimeter? (a) 40 cm (b) 28 cm (c) 14 cm (d) 24 cm
- 34.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 22 sq cm (c) 44 sq cm (d) 144 sq cm
- 35.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 49 sq cm (c) 14 sq cm (d) 28 sq cm
- 36.A rectangle is 10 cm long and 5 cm wide. What is its perimeter? (a) 15 cm (b) 25 cm (c) 50 cm (d) 30 cm
- 37.A rectangle is 15 cm long and 2 cm wide. What is its perimeter? (a) 17 cm (b) 34 cm (c) 30 cm (d) 32 cm
- 38.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
- 39.A rectangle has an area of 95 sq cm and a length of 19 cm. What is its width? (a) 76 cm (b) 10 cm (c) 5 cm (d) 6 cm
- 40.A rectangle has an area of 160 sq cm and a length of 20 cm. What is its width? (a) 140 cm (b) 8 cm (c) 16 cm (d) 9 cm
Answer key
- 84 sq cm
- 62 cm
- 24 cm
- 22 cm
- 72 sq cm
- 220 sq cm
- 85 sq cm
- 100 sq cm
- 25 sq cm
- 8 cm
- 56 sq cm
- 16 cm
- 169 sq cm
- 10 cm
- 45 sq cm
- 21 sq cm
- 6 cm
- 38 cm
- 98 sq cm
- 10 cm
- 48 sq cm
- 60 sq cm
- 70 sq cm
- 6 cm
- 6 cm
- 36 cm
- 5 cm
- 136 sq cm
- 9 cm
- 36 sq cm
- 8 cm
- 64 sq cm
- 28 cm
- 121 sq cm
- 49 sq cm
- 30 cm
- 34 cm
- 156 sq cm
- 5 cm
- 8 cm
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