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 154 sq cm and a length of 14 cm. What is its width? (a) 12 cm (b) 11 cm (c) 140 cm (d) 22 cm
- 2.A rectangle is 18 cm long and 3 cm wide. What is its area? (a) 54 sq cm (b) 72 sq cm (c) 21 sq cm (d) 42 sq cm
- 3.A rectangle is 19 cm long and 10 cm wide. What is its area? (a) 190 sq cm (b) 58 sq cm (c) 29 sq cm (d) 209 sq cm
- 4.A rectangle is 20 cm long and 9 cm wide. What is its area? (a) 29 sq cm (b) 200 sq cm (c) 58 sq cm (d) 180 sq cm
- 5.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 165 cm (b) 12 cm (c) 24 cm (d) 13 cm
- 6.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 28 sq cm (b) 11 sq cm (c) 22 sq cm (d) 35 sq cm
- 7.A rectangle has an area of 32 sq cm and a length of 16 cm. What is its width? (a) 16 cm (b) 4 cm (c) 3 cm (d) 2 cm
- 8.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
- 9.A rectangle is 13 cm long and 8 cm wide. What is its perimeter? (a) 34 cm (b) 104 cm (c) 21 cm (d) 42 cm
- 10.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
- 11.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 27 cm (b) 21 cm (c) 24 cm (d) 12 cm
- 12.A rectangle is 12 cm long and 6 cm wide. What is its area? (a) 84 sq cm (b) 36 sq cm (c) 72 sq cm (d) 18 sq cm
- 13.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 20 sq cm (c) 40 sq cm (d) 121 sq cm
- 14.A rectangle has an area of 112 sq cm and a length of 14 cm. What is its width? (a) 98 cm (b) 8 cm (c) 9 cm (d) 16 cm
- 15.A rectangle is 16 cm long and 3 cm wide. What is its perimeter? (a) 38 cm (b) 35 cm (c) 19 cm (d) 48 cm
- 16.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 42 sq cm (b) 21 sq cm (c) 104 sq cm (d) 117 sq cm
- 17.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 32 sq cm (b) 72 sq cm (c) 63 sq cm (d) 16 sq cm
- 18.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 10 sq cm (c) 20 sq cm (d) 30 sq cm
- 19.A rectangle is 18 cm long and 7 cm wide. What is its perimeter? (a) 126 cm (b) 25 cm (c) 43 cm (d) 50 cm
- 20.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 52 sq cm (c) 169 sq cm (d) 26 sq cm
- 21.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 63 cm (b) 32 cm (c) 16 cm (d) 25 cm
- 22.A rectangle is 13 cm long and 3 cm wide. What is its perimeter? (a) 32 cm (b) 29 cm (c) 16 cm (d) 39 cm
- 23.A rectangle has an area of 38 sq cm and a length of 19 cm. What is its width? (a) 3 cm (b) 19 cm (c) 4 cm (d) 2 cm
- 24.A rectangle has an area of 40 sq cm and a length of 8 cm. What is its width? (a) 10 cm (b) 5 cm (c) 32 cm (d) 6 cm
- 25.A rectangle has an area of 90 sq cm and a length of 15 cm. What is its width? (a) 6 cm (b) 75 cm (c) 7 cm (d) 12 cm
- 26.A rectangle is 12 cm long and 3 cm wide. What is its perimeter? (a) 30 cm (b) 27 cm (c) 36 cm (d) 15 cm
- 27.A rectangle has an area of 90 sq cm and a length of 18 cm. What is its width? (a) 5 cm (b) 72 cm (c) 6 cm (d) 10 cm
- 28.A rectangle is 13 cm long and 12 cm wide. What is its area? (a) 156 sq cm (b) 169 sq cm (c) 50 sq cm (d) 25 sq cm
- 29.A rectangle is 12 cm long and 6 cm wide. What is its perimeter? (a) 72 cm (b) 18 cm (c) 30 cm (d) 36 cm
- 30.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 50 sq cm (b) 60 sq cm (c) 15 sq cm (d) 30 sq cm
- 31.A rectangle has an area of 95 sq cm and a length of 19 cm. What is its width? (a) 6 cm (b) 5 cm (c) 76 cm (d) 10 cm
- 32.A rectangle is 15 cm long and 8 cm wide. What is its area? (a) 46 sq cm (b) 135 sq cm (c) 120 sq cm (d) 23 sq cm
- 33.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 225 sq cm (c) 30 sq cm (d) 256 sq cm
- 34.A rectangle has an area of 80 sq cm and a length of 16 cm. What is its width? (a) 6 cm (b) 10 cm (c) 5 cm (d) 64 cm
- 35.A rectangle is 11 cm long and 10 cm wide. What is its area? (a) 42 sq cm (b) 121 sq cm (c) 110 sq cm (d) 21 sq cm
- 36.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 16 cm (c) 10 cm (d) 20 cm
- 37.A rectangle is 19 cm long and 5 cm wide. What is its area? (a) 24 sq cm (b) 114 sq cm (c) 48 sq cm (d) 95 sq cm
- 38.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
- 39.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 22 cm (b) 12 cm (c) 11 cm (d) 120 cm
- 40.A rectangle is 16 cm long and 7 cm wide. What is its area? (a) 46 sq cm (b) 112 sq cm (c) 128 sq cm (d) 23 sq cm
Answer key
- 11 cm
- 54 sq cm
- 190 sq cm
- 180 sq cm
- 12 cm
- 28 sq cm
- 2 cm
- 196 sq cm
- 42 cm
- 36 sq cm
- 24 cm
- 72 sq cm
- 100 sq cm
- 8 cm
- 38 cm
- 104 sq cm
- 63 sq cm
- 24 sq cm
- 50 cm
- 169 sq cm
- 32 cm
- 32 cm
- 2 cm
- 5 cm
- 6 cm
- 30 cm
- 5 cm
- 156 sq cm
- 36 cm
- 50 sq cm
- 5 cm
- 120 sq cm
- 225 sq cm
- 5 cm
- 110 sq cm
- 20 cm
- 95 sq cm
- 192 sq cm
- 11 cm
- 112 sq cm
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