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 16 cm long and 3 cm wide. What is its perimeter? (a) 35 cm (b) 48 cm (c) 38 cm (d) 19 cm
- 2.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
- 3.A rectangle is 16 cm long and 7 cm wide. What is its area? (a) 128 sq cm (b) 23 sq cm (c) 112 sq cm (d) 46 sq cm
- 4.A rectangle has an area of 70 sq cm and a length of 14 cm. What is its width? (a) 6 cm (b) 10 cm (c) 5 cm (d) 56 cm
- 5.A rectangle is 17 cm long and 10 cm wide. What is its perimeter? (a) 170 cm (b) 44 cm (c) 54 cm (d) 27 cm
- 6.A rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 26 cm (b) 23 cm (c) 13 cm (d) 30 cm
- 7.A rectangle is 18 cm long and 2 cm wide. What is its area? (a) 54 sq cm (b) 40 sq cm (c) 36 sq cm (d) 20 sq cm
- 8.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 225 sq cm (c) 30 sq cm (d) 60 sq cm
- 9.A rectangle is 20 cm long and 4 cm wide. What is its perimeter? (a) 48 cm (b) 24 cm (c) 80 cm (d) 44 cm
- 10.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
- 11.A rectangle is 20 cm long and 11 cm wide. What is its area? (a) 62 sq cm (b) 220 sq cm (c) 240 sq cm (d) 31 sq cm
- 12.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
- 13.A rectangle has an area of 44 sq cm and a length of 11 cm. What is its width? (a) 4 cm (b) 33 cm (c) 8 cm (d) 5 cm
- 14.A rectangle is 18 cm long and 10 cm wide. What is its area? (a) 198 sq cm (b) 56 sq cm (c) 180 sq cm (d) 28 sq cm
- 15.A rectangle is 12 cm long and 9 cm wide. What is its area? (a) 42 sq cm (b) 21 sq cm (c) 120 sq cm (d) 108 sq cm
- 16.A rectangle is 17 cm long and 3 cm wide. What is its perimeter? (a) 20 cm (b) 51 cm (c) 40 cm (d) 37 cm
- 17.A rectangle has an area of 15 sq cm and a length of 5 cm. What is its width? (a) 3 cm (b) 4 cm (c) 10 cm (d) 6 cm
- 18.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 54 sq cm (b) 14 sq cm (c) 45 sq cm (d) 28 sq cm
- 19.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 80 sq cm (b) 36 sq cm (c) 18 sq cm (d) 90 sq cm
- 20.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 143 cm (b) 12 cm (c) 13 cm (d) 24 cm
- 21.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 13 sq cm (b) 26 sq cm (c) 40 sq cm (d) 30 sq cm
- 22.A rectangle is 17 cm long and 3 cm wide. What is its area? (a) 51 sq cm (b) 20 sq cm (c) 68 sq cm (d) 40 sq cm
- 23.A rectangle has an area of 57 sq cm and a length of 19 cm. What is its width? (a) 38 cm (b) 4 cm (c) 3 cm (d) 6 cm
- 24.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 72 sq cm (b) 32 sq cm (c) 63 sq cm (d) 16 sq cm
- 25.A rectangle has an area of 26 sq cm and a length of 13 cm. What is its width? (a) 3 cm (b) 13 cm (c) 4 cm (d) 2 cm
- 26.A rectangle has an area of 144 sq cm and a length of 18 cm. What is its width? (a) 8 cm (b) 9 cm (c) 16 cm (d) 126 cm
- 27.A rectangle is 14 cm long and 6 cm wide. What is its area? (a) 84 sq cm (b) 40 sq cm (c) 20 sq cm (d) 98 sq cm
- 28.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 13 cm (b) 24 cm (c) 209 cm (d) 12 cm
- 29.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 11 cm (b) 17 cm (c) 30 cm (d) 22 cm
- 30.A rectangle has an area of 128 sq cm and a length of 16 cm. What is its width? (a) 9 cm (b) 16 cm (c) 112 cm (d) 8 cm
- 31.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 12 sq cm (b) 40 sq cm (c) 32 sq cm (d) 24 sq cm
- 32.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 32 sq cm (c) 16 sq cm (d) 81 sq cm
- 33.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
- 34.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 144 sq cm (c) 169 sq cm (d) 48 sq cm
- 35.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 56 sq cm (c) 28 sq cm (d) 225 sq cm
- 36.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 130 cm (b) 22 cm (c) 12 cm (d) 11 cm
- 37.A rectangle has an area of 170 sq cm and a length of 17 cm. What is its width? (a) 153 cm (b) 10 cm (c) 20 cm (d) 11 cm
- 38.A rectangle is 17 cm long and 4 cm wide. What is its perimeter? (a) 38 cm (b) 42 cm (c) 21 cm (d) 68 cm
- 39.A rectangle has an area of 114 sq cm and a length of 19 cm. What is its width? (a) 95 cm (b) 6 cm (c) 7 cm (d) 12 cm
- 40.A rectangle has an area of 45 sq cm and a length of 15 cm. What is its width? (a) 3 cm (b) 4 cm (c) 30 cm (d) 6 cm
Answer key
- 38 cm
- 49 sq cm
- 112 sq cm
- 5 cm
- 54 cm
- 26 cm
- 36 sq cm
- 225 sq cm
- 48 cm
- 3 cm
- 220 sq cm
- 169 sq cm
- 4 cm
- 180 sq cm
- 108 sq cm
- 40 cm
- 3 cm
- 45 sq cm
- 80 sq cm
- 12 cm
- 30 sq cm
- 51 sq cm
- 3 cm
- 63 sq cm
- 2 cm
- 8 cm
- 84 sq cm
- 12 cm
- 22 cm
- 8 cm
- 32 sq cm
- 64 sq cm
- 7 cm
- 144 sq cm
- 196 sq cm
- 11 cm
- 10 cm
- 42 cm
- 6 cm
- 3 cm
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