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) 169 sq cm (b) 26 sq cm (c) 196 sq cm (d) 52 sq cm
- 2.A rectangle is 15 cm long and 2 cm wide. What is its area? (a) 30 sq cm (b) 17 sq cm (c) 45 sq cm (d) 34 sq cm
- 3.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 80 sq cm (b) 18 sq cm (c) 36 sq cm (d) 90 sq cm
- 4.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 15 sq cm (b) 54 sq cm (c) 63 sq cm (d) 30 sq cm
- 5.A rectangle is 11 cm long and 3 cm wide. What is its area? (a) 14 sq cm (b) 33 sq cm (c) 44 sq cm (d) 28 sq cm
- 6.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 36 sq cm (c) 24 sq cm (d) 49 sq cm
- 7.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 45 sq cm (b) 13 sq cm (c) 36 sq cm (d) 26 sq cm
- 8.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 15 cm (b) 9 cm (c) 18 cm (d) 19 cm
- 9.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 22 sq cm (b) 18 sq cm (c) 27 sq cm (d) 11 sq cm
- 10.A rectangle is 16 cm long and 10 cm wide. What is its perimeter? (a) 52 cm (b) 160 cm (c) 26 cm (d) 42 cm
- 11.A rectangle is 17 cm long and 7 cm wide. What is its area? (a) 24 sq cm (b) 48 sq cm (c) 136 sq cm (d) 119 sq cm
- 12.A rectangle is 19 cm long and 12 cm wide. What is its perimeter? (a) 62 cm (b) 228 cm (c) 50 cm (d) 31 cm
- 13.A rectangle has an area of 12 sq cm and a length of 6 cm. What is its width? (a) 4 cm (b) 3 cm (c) 6 cm (d) 2 cm
- 14.A rectangle has an area of 112 sq cm and a length of 16 cm. What is its width? (a) 96 cm (b) 14 cm (c) 8 cm (d) 7 cm
- 15.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 22 sq cm (c) 44 sq cm (d) 121 sq cm
- 16.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
- 17.A rectangle is 12 cm long and 9 cm wide. What is its area? (a) 21 sq cm (b) 108 sq cm (c) 42 sq cm (d) 120 sq cm
- 18.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 34 sq cm (b) 42 sq cm (c) 17 sq cm (d) 56 sq cm
- 19.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
- 20.A rectangle has an area of 14 sq cm and a length of 7 cm. What is its width? (a) 3 cm (b) 7 cm (c) 2 cm (d) 4 cm
- 21.A rectangle has an area of 76 sq cm and a length of 19 cm. What is its width? (a) 4 cm (b) 5 cm (c) 8 cm (d) 57 cm
- 22.A rectangle is 14 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 32 cm (c) 30 cm (d) 28 cm
- 23.A rectangle has an area of 30 sq cm and a length of 10 cm. What is its width? (a) 3 cm (b) 4 cm (c) 20 cm (d) 6 cm
- 24.A rectangle is 17 cm long and 5 cm wide. What is its perimeter? (a) 22 cm (b) 85 cm (c) 39 cm (d) 44 cm
- 25.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 108 cm (b) 11 cm (c) 10 cm (d) 20 cm
- 26.A rectangle is 20 cm long and 4 cm wide. What is its area? (a) 80 sq cm (b) 48 sq cm (c) 100 sq cm (d) 24 sq cm
- 27.A rectangle has an area of 96 sq cm and a length of 16 cm. What is its width? (a) 6 cm (b) 7 cm (c) 80 cm (d) 12 cm
- 28.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 22 cm (c) 11 cm (d) 18 cm
- 29.A rectangle is 16 cm long and 10 cm wide. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 160 sq cm (d) 176 sq cm
- 30.A rectangle has an area of 48 sq cm and a length of 16 cm. What is its width? (a) 6 cm (b) 32 cm (c) 3 cm (d) 4 cm
- 31.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 35 sq cm (b) 11 sq cm (c) 22 sq cm (d) 28 sq cm
- 32.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 56 sq cm (b) 15 sq cm (c) 64 sq cm (d) 30 sq cm
- 33.A rectangle is 15 cm long and 6 cm wide. What is its area? (a) 90 sq cm (b) 105 sq cm (c) 42 sq cm (d) 21 sq cm
- 34.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 14 cm (b) 23 cm (c) 28 cm (d) 45 cm
- 35.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 20 sq cm (c) 100 sq cm (d) 40 sq cm
- 36.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 28 cm (b) 18 cm (c) 11 cm (d) 22 cm
- 37.A rectangle is 20 cm long and 2 cm wide. What is its perimeter? (a) 40 cm (b) 22 cm (c) 44 cm (d) 42 cm
- 38.A rectangle has an area of 240 sq cm and a length of 20 cm. What is its width? (a) 220 cm (b) 13 cm (c) 24 cm (d) 12 cm
- 39.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 12 cm (b) 198 cm (c) 24 cm (d) 13 cm
- 40.A rectangle has an area of 170 sq cm and a length of 17 cm. What is its width? (a) 11 cm (b) 10 cm (c) 153 cm (d) 20 cm
Answer key
- 169 sq cm
- 30 sq cm
- 80 sq cm
- 54 sq cm
- 33 sq cm
- 36 sq cm
- 36 sq cm
- 18 cm
- 18 sq cm
- 52 cm
- 119 sq cm
- 62 cm
- 2 cm
- 7 cm
- 121 sq cm
- 64 sq cm
- 108 sq cm
- 42 sq cm
- 144 sq cm
- 2 cm
- 4 cm
- 32 cm
- 3 cm
- 44 cm
- 10 cm
- 80 sq cm
- 6 cm
- 22 cm
- 160 sq cm
- 3 cm
- 28 sq cm
- 56 sq cm
- 90 sq cm
- 28 cm
- 100 sq cm
- 22 cm
- 44 cm
- 12 cm
- 12 cm
- 10 cm
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