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 9 cm wide. What is its area? (a) 108 sq cm (b) 42 sq cm (c) 21 sq cm (d) 120 sq cm
- 2.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 196 sq cm (c) 52 sq cm (d) 169 sq cm
- 3.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 12 cm (b) 11 cm (c) 150 cm (d) 22 cm
- 4.A rectangle is 14 cm long and 11 cm wide. What is its perimeter? (a) 154 cm (b) 25 cm (c) 39 cm (d) 50 cm
- 5.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 22 sq cm (b) 11 sq cm (c) 27 sq cm (d) 18 sq cm
- 6.A rectangle is 18 cm long and 4 cm wide. What is its area? (a) 44 sq cm (b) 72 sq cm (c) 22 sq cm (d) 90 sq cm
- 7.A rectangle is 17 cm long and 6 cm wide. What is its perimeter? (a) 23 cm (b) 102 cm (c) 46 cm (d) 40 cm
- 8.A rectangle is 19 cm long and 2 cm wide. What is its area? (a) 21 sq cm (b) 57 sq cm (c) 38 sq cm (d) 42 sq cm
- 9.A rectangle has an area of 12 sq cm and a length of 4 cm. What is its width? (a) 3 cm (b) 6 cm (c) 8 cm (d) 4 cm
- 10.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 12 cm (b) 24 cm (c) 20 cm (d) 32 cm
- 11.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 15 sq cm (b) 63 sq cm (c) 54 sq cm (d) 30 sq cm
- 12.A rectangle has an area of 100 sq cm and a length of 20 cm. What is its width? (a) 10 cm (b) 6 cm (c) 5 cm (d) 80 cm
- 13.A rectangle has an area of 75 sq cm and a length of 15 cm. What is its width? (a) 5 cm (b) 10 cm (c) 60 cm (d) 6 cm
- 14.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 24 sq cm (c) 12 sq cm (d) 36 sq cm
- 15.A rectangle is 14 cm long and 5 cm wide. What is its perimeter? (a) 70 cm (b) 38 cm (c) 19 cm (d) 33 cm
- 16.A rectangle is 11 cm long and 8 cm wide. What is its perimeter? (a) 88 cm (b) 38 cm (c) 19 cm (d) 30 cm
- 17.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 12 cm (b) 22 cm (c) 11 cm (d) 190 cm
- 18.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 60 sq cm (b) 15 sq cm (c) 30 sq cm (d) 50 sq cm
- 19.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 12 cm (b) 24 cm (c) 143 cm (d) 13 cm
- 20.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 19 cm (b) 35 cm (c) 12 cm (d) 24 cm
- 21.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 34 sq cm (b) 17 sq cm (c) 80 sq cm (d) 70 sq cm
- 22.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 28 sq cm (c) 14 sq cm (d) 49 sq cm
- 23.A rectangle has an area of 114 sq cm and a length of 19 cm. What is its width? (a) 7 cm (b) 95 cm (c) 12 cm (d) 6 cm
- 24.A rectangle is 10 cm long and 9 cm wide. What is its perimeter? (a) 90 cm (b) 38 cm (c) 19 cm (d) 29 cm
- 25.A rectangle has an area of 80 sq cm and a length of 16 cm. What is its width? (a) 5 cm (b) 10 cm (c) 64 cm (d) 6 cm
- 26.A rectangle has an area of 112 sq cm and a length of 14 cm. What is its width? (a) 9 cm (b) 16 cm (c) 8 cm (d) 98 cm
- 27.A rectangle is 18 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 54 cm (c) 42 cm (d) 39 cm
- 28.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 81 sq cm (d) 100 sq cm
- 29.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
- 30.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 9 cm (b) 10 cm (c) 18 cm (d) 88 cm
- 31.A rectangle has an area of 24 sq cm and a length of 6 cm. What is its width? (a) 8 cm (b) 4 cm (c) 5 cm (d) 18 cm
- 32.A rectangle is 20 cm long and 2 cm wide. What is its area? (a) 60 sq cm (b) 22 sq cm (c) 40 sq cm (d) 44 sq cm
- 33.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 9 cm (b) 15 cm (c) 19 cm (d) 18 cm
- 34.A rectangle has an area of 56 sq cm and a length of 14 cm. What is its width? (a) 5 cm (b) 8 cm (c) 42 cm (d) 4 cm
- 35.A rectangle is 20 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 80 cm (c) 48 cm (d) 44 cm
- 36.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 10 cm (b) 11 cm (c) 99 cm (d) 20 cm
- 37.A rectangle has an area of 27 sq cm and a length of 9 cm. What is its width? (a) 6 cm (b) 4 cm (c) 3 cm (d) 18 cm
- 38.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 22 cm (b) 48 cm (c) 28 cm (d) 14 cm
- 39.A rectangle is 19 cm long and 12 cm wide. What is its perimeter? (a) 50 cm (b) 62 cm (c) 228 cm (d) 31 cm
- 40.A rectangle has an area of 40 sq cm and a length of 20 cm. What is its width? (a) 3 cm (b) 20 cm (c) 2 cm (d) 4 cm
Answer key
- 108 sq cm
- 169 sq cm
- 11 cm
- 50 cm
- 18 sq cm
- 72 sq cm
- 46 cm
- 38 sq cm
- 3 cm
- 24 cm
- 54 sq cm
- 5 cm
- 5 cm
- 36 sq cm
- 38 cm
- 38 cm
- 11 cm
- 50 sq cm
- 12 cm
- 24 cm
- 70 sq cm
- 49 sq cm
- 6 cm
- 38 cm
- 5 cm
- 8 cm
- 42 cm
- 81 sq cm
- 25 sq cm
- 9 cm
- 4 cm
- 40 sq cm
- 18 cm
- 4 cm
- 48 cm
- 10 cm
- 3 cm
- 28 cm
- 62 cm
- 2 cm
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