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 has an area of 114 sq cm and a length of 19 cm. What is its width? (a) 12 cm (b) 6 cm (c) 7 cm (d) 95 cm
- 2.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 32 sq cm (d) 40 sq cm
- 3.A rectangle is 13 cm long and 12 cm wide. What is its perimeter? (a) 38 cm (b) 156 cm (c) 50 cm (d) 25 cm
- 4.A rectangle has an area of 105 sq cm and a length of 15 cm. What is its width? (a) 90 cm (b) 14 cm (c) 8 cm (d) 7 cm
- 5.A rectangle is 19 cm long and 3 cm wide. What is its perimeter? (a) 22 cm (b) 57 cm (c) 44 cm (d) 41 cm
- 6.A rectangle has an area of 52 sq cm and a length of 13 cm. What is its width? (a) 8 cm (b) 4 cm (c) 39 cm (d) 5 cm
- 7.A rectangle is 13 cm long and 2 cm wide. What is its area? (a) 26 sq cm (b) 39 sq cm (c) 15 sq cm (d) 30 sq cm
- 8.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 20 cm (b) 17 cm (c) 21 cm (d) 10 cm
- 9.A rectangle has an area of 200 sq cm and a length of 20 cm. What is its width? (a) 180 cm (b) 20 cm (c) 10 cm (d) 11 cm
- 10.A rectangle is 19 cm long and 4 cm wide. What is its area? (a) 95 sq cm (b) 76 sq cm (c) 46 sq cm (d) 23 sq cm
- 11.A rectangle is 16 cm long and 4 cm wide. What is its perimeter? (a) 64 cm (b) 40 cm (c) 36 cm (d) 20 cm
- 12.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 144 sq cm (c) 24 sq cm (d) 48 sq cm
- 13.A rectangle is 11 cm long and 3 cm wide. What is its perimeter? (a) 28 cm (b) 14 cm (c) 25 cm (d) 33 cm
- 14.A rectangle has an area of 144 sq cm and a length of 16 cm. What is its width? (a) 10 cm (b) 18 cm (c) 128 cm (d) 9 cm
- 15.A rectangle is 16 cm long and 9 cm wide. What is its area? (a) 50 sq cm (b) 160 sq cm (c) 144 sq cm (d) 25 sq cm
- 16.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 32 cm (c) 12 cm (d) 20 cm
- 17.A rectangle has an area of 126 sq cm and a length of 14 cm. What is its width? (a) 18 cm (b) 112 cm (c) 9 cm (d) 10 cm
- 18.A rectangle is 15 cm long and 8 cm wide. What is its area? (a) 135 sq cm (b) 23 sq cm (c) 46 sq cm (d) 120 sq cm
- 19.A rectangle has an area of 72 sq cm and a length of 18 cm. What is its width? (a) 5 cm (b) 8 cm (c) 54 cm (d) 4 cm
- 20.A rectangle is 11 cm long and 4 cm wide. What is its perimeter? (a) 26 cm (b) 30 cm (c) 44 cm (d) 15 cm
- 21.A rectangle has an area of 80 sq cm and a length of 20 cm. What is its width? (a) 4 cm (b) 5 cm (c) 8 cm (d) 60 cm
- 22.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 14 sq cm (c) 49 sq cm (d) 28 sq cm
- 23.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 40 sq cm (c) 20 sq cm (d) 100 sq cm
- 24.A rectangle is 16 cm long and 12 cm wide. What is its perimeter? (a) 28 cm (b) 44 cm (c) 56 cm (d) 192 cm
- 25.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 117 sq cm (b) 104 sq cm (c) 21 sq cm (d) 42 sq cm
- 26.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 169 sq cm (c) 26 sq cm (d) 196 sq cm
- 27.A rectangle is 16 cm long and 10 cm wide. What is its area? (a) 160 sq cm (b) 26 sq cm (c) 176 sq cm (d) 52 sq cm
- 28.A rectangle is 18 cm long and 11 cm wide. What is its area? (a) 58 sq cm (b) 216 sq cm (c) 29 sq cm (d) 198 sq cm
- 29.A rectangle has an area of 176 sq cm and a length of 16 cm. What is its width? (a) 22 cm (b) 12 cm (c) 160 cm (d) 11 cm
- 30.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 12 cm (c) 8 cm (d) 14 cm
- 31.A rectangle has an area of 6 sq cm and a length of 3 cm. What is its width? (a) 3 cm (b) 1 cm (c) 2 cm (d) 4 cm
- 32.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 27 sq cm (b) 11 sq cm (c) 18 sq cm (d) 22 sq cm
- 33.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 225 sq cm (d) 196 sq cm
- 34.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 40 sq cm (b) 26 sq cm (c) 13 sq cm (d) 30 sq cm
- 35.A rectangle is 18 cm long and 10 cm wide. What is its area? (a) 28 sq cm (b) 180 sq cm (c) 198 sq cm (d) 56 sq cm
- 36.A rectangle is 12 cm long and 9 cm wide. What is its area? (a) 21 sq cm (b) 120 sq cm (c) 42 sq cm (d) 108 sq cm
- 37.A rectangle is 10 cm long and 6 cm wide. What is its perimeter? (a) 26 cm (b) 32 cm (c) 16 cm (d) 60 cm
- 38.A rectangle has an area of 88 sq cm and a length of 11 cm. What is its width? (a) 77 cm (b) 8 cm (c) 9 cm (d) 16 cm
- 39.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 20 sq cm (b) 24 sq cm (c) 30 sq cm (d) 10 sq cm
- 40.A rectangle is 11 cm long and 5 cm wide. What is its area? (a) 32 sq cm (b) 55 sq cm (c) 16 sq cm (d) 66 sq cm
Answer key
- 6 cm
- 32 sq cm
- 50 cm
- 7 cm
- 44 cm
- 4 cm
- 26 sq cm
- 20 cm
- 10 cm
- 76 sq cm
- 40 cm
- 144 sq cm
- 28 cm
- 9 cm
- 144 sq cm
- 24 cm
- 9 cm
- 120 sq cm
- 4 cm
- 30 cm
- 4 cm
- 49 sq cm
- 100 sq cm
- 56 cm
- 104 sq cm
- 169 sq cm
- 160 sq cm
- 198 sq cm
- 11 cm
- 16 cm
- 2 cm
- 18 sq cm
- 196 sq cm
- 30 sq cm
- 180 sq cm
- 108 sq cm
- 32 cm
- 8 cm
- 24 sq cm
- 55 sq cm
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