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 24 cm. What is its area? (a) 24 sq cm (b) 49 sq cm (c) 12 sq cm (d) 36 sq cm
- 2.A rectangle is 11 cm long and 5 cm wide. What is its perimeter? (a) 55 cm (b) 16 cm (c) 27 cm (d) 32 cm
- 3.A rectangle is 17 cm long and 2 cm wide. What is its perimeter? (a) 34 cm (b) 36 cm (c) 19 cm (d) 38 cm
- 4.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
- 5.A rectangle is 19 cm long and 9 cm wide. What is its perimeter? (a) 28 cm (b) 47 cm (c) 56 cm (d) 171 cm
- 6.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 8 sq cm (b) 12 sq cm (c) 18 sq cm (d) 16 sq cm
- 7.A rectangle has an area of 50 sq cm and a length of 10 cm. What is its width? (a) 40 cm (b) 6 cm (c) 5 cm (d) 10 cm
- 8.A rectangle is 20 cm long and 8 cm wide. What is its area? (a) 56 sq cm (b) 180 sq cm (c) 28 sq cm (d) 160 sq cm
- 9.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 24 sq cm (c) 48 sq cm (d) 144 sq cm
- 10.A rectangle is 16 cm long and 12 cm wide. What is its area? (a) 28 sq cm (b) 208 sq cm (c) 56 sq cm (d) 192 sq cm
- 11.A rectangle is 12 cm long and 6 cm wide. What is its perimeter? (a) 72 cm (b) 30 cm (c) 36 cm (d) 18 cm
- 12.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 81 sq cm (c) 16 sq cm (d) 64 sq cm
- 13.A rectangle has an area of 126 sq cm and a length of 18 cm. What is its width? (a) 8 cm (b) 7 cm (c) 14 cm (d) 108 cm
- 14.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
- 15.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 96 cm (b) 10 cm (c) 9 cm (d) 18 cm
- 16.A rectangle has an area of 170 sq cm and a length of 17 cm. What is its width? (a) 10 cm (b) 20 cm (c) 11 cm (d) 153 cm
- 17.A rectangle is 13 cm long and 3 cm wide. What is its area? (a) 52 sq cm (b) 16 sq cm (c) 39 sq cm (d) 32 sq cm
- 18.A rectangle has an area of 144 sq cm and a length of 16 cm. What is its width? (a) 18 cm (b) 128 cm (c) 9 cm (d) 10 cm
- 19.A rectangle has an area of 72 sq cm and a length of 12 cm. What is its width? (a) 7 cm (b) 60 cm (c) 12 cm (d) 6 cm
- 20.A rectangle has an area of 162 sq cm and a length of 18 cm. What is its width? (a) 10 cm (b) 9 cm (c) 18 cm (d) 144 cm
- 21.A rectangle is 11 cm long and 3 cm wide. What is its area? (a) 14 sq cm (b) 44 sq cm (c) 28 sq cm (d) 33 sq cm
- 22.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 24 cm (b) 19 cm (c) 11 cm (d) 22 cm
- 23.A rectangle is 17 cm long and 10 cm wide. What is its area? (a) 187 sq cm (b) 170 sq cm (c) 54 sq cm (d) 27 sq cm
- 24.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 32 cm (b) 20 cm (c) 12 cm (d) 24 cm
- 25.A rectangle has an area of 33 sq cm and a length of 11 cm. What is its width? (a) 22 cm (b) 3 cm (c) 4 cm (d) 6 cm
- 26.A rectangle is 11 cm long and 4 cm wide. What is its area? (a) 30 sq cm (b) 55 sq cm (c) 15 sq cm (d) 44 sq cm
- 27.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 25 sq cm (c) 20 sq cm (d) 36 sq cm
- 28.A rectangle is 20 cm long and 7 cm wide. What is its perimeter? (a) 47 cm (b) 27 cm (c) 140 cm (d) 54 cm
- 29.A rectangle is 13 cm long and 7 cm wide. What is its perimeter? (a) 20 cm (b) 40 cm (c) 91 cm (d) 33 cm
- 30.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 28 sq cm (c) 225 sq cm (d) 56 sq cm
- 31.A rectangle is 17 cm long and 10 cm wide. What is its perimeter? (a) 44 cm (b) 54 cm (c) 170 cm (d) 27 cm
- 32.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 49 sq cm (d) 64 sq cm
- 33.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) 16 cm (d) 3 cm
- 34.A rectangle is 14 cm long and 5 cm wide. What is its area? (a) 19 sq cm (b) 84 sq cm (c) 38 sq cm (d) 70 sq cm
- 35.A rectangle has an area of 65 sq cm and a length of 13 cm. What is its width? (a) 6 cm (b) 10 cm (c) 52 cm (d) 5 cm
- 36.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 10 sq cm (c) 24 sq cm (d) 20 sq cm
- 37.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 19 sq cm (b) 38 sq cm (c) 90 sq cm (d) 100 sq cm
- 38.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 8 cm (c) 12 cm (d) 16 cm
- 39.A rectangle is 17 cm long and 9 cm wide. What is its perimeter? (a) 43 cm (b) 52 cm (c) 26 cm (d) 153 cm
- 40.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 35 cm (b) 12 cm (c) 19 cm (d) 24 cm
Answer key
- 36 sq cm
- 32 cm
- 38 cm
- 169 sq cm
- 56 cm
- 12 sq cm
- 5 cm
- 160 sq cm
- 144 sq cm
- 192 sq cm
- 36 cm
- 64 sq cm
- 7 cm
- 30 sq cm
- 9 cm
- 10 cm
- 39 sq cm
- 9 cm
- 6 cm
- 9 cm
- 33 sq cm
- 22 cm
- 170 sq cm
- 24 cm
- 3 cm
- 44 sq cm
- 25 sq cm
- 54 cm
- 40 cm
- 196 sq cm
- 54 cm
- 49 sq cm
- 3 cm
- 70 sq cm
- 5 cm
- 16 sq cm
- 90 sq cm
- 16 cm
- 52 cm
- 24 cm
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