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 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
- 2.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 121 sq cm (c) 22 sq cm (d) 144 sq cm
- 3.A rectangle is 16 cm long and 5 cm wide. What is its area? (a) 42 sq cm (b) 80 sq cm (c) 96 sq cm (d) 21 sq cm
- 4.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
- 5.A rectangle has an area of 90 sq cm and a length of 15 cm. What is its width? (a) 7 cm (b) 6 cm (c) 75 cm (d) 12 cm
- 6.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 64 sq cm (d) 49 sq cm
- 7.A rectangle has an area of 77 sq cm and a length of 11 cm. What is its width? (a) 7 cm (b) 66 cm (c) 8 cm (d) 14 cm
- 8.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 10 cm (b) 20 cm (c) 24 cm (d) 16 cm
- 9.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 40 sq cm (c) 100 sq cm (d) 20 sq cm
- 10.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 64 sq cm (c) 16 sq cm (d) 81 sq cm
- 11.A rectangle has an area of 56 sq cm and a length of 14 cm. What is its width? (a) 8 cm (b) 5 cm (c) 42 cm (d) 4 cm
- 12.A rectangle has an area of 24 sq cm and a length of 8 cm. What is its width? (a) 4 cm (b) 6 cm (c) 3 cm (d) 16 cm
- 13.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 30 sq cm (b) 40 sq cm (c) 26 sq cm (d) 13 sq cm
- 14.A rectangle is 13 cm long and 10 cm wide. What is its perimeter? (a) 36 cm (b) 46 cm (c) 23 cm (d) 130 cm
- 15.A rectangle is 13 cm long and 3 cm wide. What is its perimeter? (a) 32 cm (b) 39 cm (c) 29 cm (d) 16 cm
- 16.A rectangle is 10 cm long and 4 cm wide. What is its perimeter? (a) 28 cm (b) 40 cm (c) 14 cm (d) 24 cm
- 17.A rectangle has an area of 40 sq cm and a length of 20 cm. What is its width? (a) 3 cm (b) 4 cm (c) 20 cm (d) 2 cm
- 18.A rectangle has an area of 35 sq cm and a length of 7 cm. What is its width? (a) 5 cm (b) 10 cm (c) 6 cm (d) 28 cm
- 19.A rectangle has an area of 176 sq cm and a length of 16 cm. What is its width? (a) 22 cm (b) 160 cm (c) 11 cm (d) 12 cm
- 20.A rectangle is 14 cm long and 5 cm wide. What is its perimeter? (a) 19 cm (b) 33 cm (c) 70 cm (d) 38 cm
- 21.A rectangle is 17 cm long and 2 cm wide. What is its area? (a) 19 sq cm (b) 38 sq cm (c) 51 sq cm (d) 34 sq cm
- 22.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 60 sq cm (d) 70 sq cm
- 23.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 36 sq cm (d) 25 sq cm
- 24.A rectangle is 13 cm long and 5 cm wide. What is its perimeter? (a) 18 cm (b) 65 cm (c) 31 cm (d) 36 cm
- 25.A rectangle has an area of 12 sq cm and a length of 4 cm. What is its width? (a) 6 cm (b) 4 cm (c) 8 cm (d) 3 cm
- 26.A rectangle has an area of 190 sq cm and a length of 19 cm. What is its width? (a) 11 cm (b) 171 cm (c) 20 cm (d) 10 cm
- 27.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 48 sq cm (d) 14 sq cm
- 28.A rectangle is 14 cm long and 5 cm wide. What is its area? (a) 38 sq cm (b) 84 sq cm (c) 19 sq cm (d) 70 sq cm
- 29.A rectangle is 19 cm long and 4 cm wide. What is its perimeter? (a) 76 cm (b) 42 cm (c) 23 cm (d) 46 cm
- 30.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 9 sq cm (c) 21 sq cm (d) 14 sq cm
- 31.A rectangle is 16 cm long and 8 cm wide. What is its area? (a) 144 sq cm (b) 24 sq cm (c) 128 sq cm (d) 48 sq cm
- 32.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
- 33.A rectangle is 14 cm long and 6 cm wide. What is its perimeter? (a) 20 cm (b) 84 cm (c) 40 cm (d) 34 cm
- 34.A rectangle is 17 cm long and 3 cm wide. What is its perimeter? (a) 40 cm (b) 37 cm (c) 20 cm (d) 51 cm
- 35.A rectangle is 19 cm long and 5 cm wide. What is its area? (a) 24 sq cm (b) 48 sq cm (c) 95 sq cm (d) 114 sq cm
- 36.A rectangle has an area of 84 sq cm and a length of 14 cm. What is its width? (a) 6 cm (b) 7 cm (c) 12 cm (d) 70 cm
- 37.A rectangle has an area of 187 sq cm and a length of 17 cm. What is its width? (a) 170 cm (b) 11 cm (c) 22 cm (d) 12 cm
- 38.A rectangle has an area of 126 sq cm and a length of 14 cm. What is its width? (a) 10 cm (b) 112 cm (c) 18 cm (d) 9 cm
- 39.A rectangle is 18 cm long and 5 cm wide. What is its area? (a) 46 sq cm (b) 108 sq cm (c) 23 sq cm (d) 90 sq cm
- 40.A rectangle has an area of 48 sq cm and a length of 12 cm. What is its width? (a) 4 cm (b) 5 cm (c) 8 cm (d) 36 cm
Answer key
- 169 sq cm
- 121 sq cm
- 80 sq cm
- 36 sq cm
- 6 cm
- 49 sq cm
- 7 cm
- 20 cm
- 100 sq cm
- 64 sq cm
- 4 cm
- 3 cm
- 30 sq cm
- 46 cm
- 32 cm
- 28 cm
- 2 cm
- 5 cm
- 11 cm
- 38 cm
- 34 sq cm
- 60 sq cm
- 25 sq cm
- 36 cm
- 3 cm
- 10 cm
- 48 sq cm
- 70 sq cm
- 46 cm
- 14 sq cm
- 128 sq cm
- 10 cm
- 40 cm
- 40 cm
- 95 sq cm
- 6 cm
- 11 cm
- 9 cm
- 90 sq cm
- 4 cm
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