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.
NameDateTime takenScore ___ / 40
- 1.A rectangle has an area of 90 sq cm and a length of 15 cm. What is its width? (a) 7 cm (b) 75 cm (c) 6 cm (d) 12 cm
- 2.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 22 cm (b) 120 cm (c) 11 cm (d) 12 cm
- 3.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 60 sq cm (c) 30 sq cm (d) 256 sq cm
- 4.A rectangle has an area of 36 sq cm and a length of 18 cm. What is its width? (a) 3 cm (b) 4 cm (c) 2 cm (d) 18 cm
- 5.A rectangle has an area of 84 sq cm and a length of 12 cm. What is its width? (a) 72 cm (b) 14 cm (c) 8 cm (d) 7 cm
- 6.A rectangle is 12 cm long and 11 cm wide. What is its area? (a) 23 sq cm (b) 144 sq cm (c) 46 sq cm (d) 132 sq cm
- 7.A rectangle has an area of 18 sq cm and a length of 9 cm. What is its width? (a) 2 cm (b) 9 cm (c) 3 cm (d) 4 cm
- 8.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 169 sq cm (c) 26 sq cm (d) 52 sq cm
- 9.A rectangle is 17 cm long and 4 cm wide. What is its perimeter? (a) 42 cm (b) 21 cm (c) 68 cm (d) 38 cm
- 10.A rectangle is 14 cm long and 6 cm wide. What is its area? (a) 40 sq cm (b) 98 sq cm (c) 20 sq cm (d) 84 sq cm
- 11.A rectangle is 12 cm long and 10 cm wide. What is its area? (a) 22 sq cm (b) 120 sq cm (c) 44 sq cm (d) 132 sq cm
- 12.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 14 sq cm (c) 28 sq cm (d) 49 sq cm
- 13.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 11 sq cm (b) 35 sq cm (c) 28 sq cm (d) 22 sq cm
- 14.A rectangle has an area of 112 sq cm and a length of 16 cm. What is its width? (a) 14 cm (b) 8 cm (c) 96 cm (d) 7 cm
- 15.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 16 sq cm (d) 24 sq cm
- 16.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 12 cm (b) 150 cm (c) 22 cm (d) 11 cm
- 17.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 121 sq cm (c) 44 sq cm (d) 144 sq cm
- 18.A rectangle is 17 cm long and 3 cm wide. What is its perimeter? (a) 51 cm (b) 37 cm (c) 20 cm (d) 40 cm
- 19.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 225 sq cm (c) 28 sq cm (d) 56 sq cm
- 20.A rectangle is 20 cm long and 11 cm wide. What is its perimeter? (a) 220 cm (b) 62 cm (c) 51 cm (d) 31 cm
- 21.A rectangle is 18 cm long and 6 cm wide. What is its area? (a) 24 sq cm (b) 108 sq cm (c) 126 sq cm (d) 48 sq cm
- 22.A rectangle has an area of 30 sq cm and a length of 15 cm. What is its width? (a) 3 cm (b) 4 cm (c) 2 cm (d) 15 cm
- 23.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 27 cm (c) 12 cm (d) 24 cm
- 24.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 70 sq cm (d) 60 sq cm
- 25.A rectangle is 14 cm long and 11 cm wide. What is its perimeter? (a) 25 cm (b) 50 cm (c) 39 cm (d) 154 cm
- 26.A rectangle is 20 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 42 cm (c) 44 cm (d) 40 cm
- 27.A rectangle is 20 cm long and 9 cm wide. What is its area? (a) 200 sq cm (b) 58 sq cm (c) 29 sq cm (d) 180 sq cm
- 28.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 18 sq cm (c) 12 sq cm (d) 8 sq cm
- 29.A rectangle is 18 cm long and 3 cm wide. What is its perimeter? (a) 54 cm (b) 39 cm (c) 21 cm (d) 42 cm
- 30.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 30 cm (b) 56 cm (c) 15 cm (d) 23 cm
- 31.A rectangle is 18 cm long and 12 cm wide. What is its area? (a) 234 sq cm (b) 216 sq cm (c) 30 sq cm (d) 60 sq cm
- 32.A rectangle is 16 cm long and 2 cm wide. What is its area? (a) 32 sq cm (b) 18 sq cm (c) 36 sq cm (d) 48 sq cm
- 33.A rectangle is 19 cm long and 6 cm wide. What is its area? (a) 50 sq cm (b) 114 sq cm (c) 25 sq cm (d) 133 sq cm
- 34.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 12 cm (b) 24 cm (c) 20 cm (d) 22 cm
- 35.A rectangle has an area of 198 sq cm and a length of 18 cm. What is its width? (a) 12 cm (b) 22 cm (c) 180 cm (d) 11 cm
- 36.A rectangle is 11 cm long and 3 cm wide. What is its perimeter? (a) 33 cm (b) 14 cm (c) 25 cm (d) 28 cm
- 37.A rectangle is 18 cm long and 10 cm wide. What is its perimeter? (a) 28 cm (b) 56 cm (c) 180 cm (d) 46 cm
- 38.A rectangle is 13 cm long and 10 cm wide. What is its area? (a) 130 sq cm (b) 143 sq cm (c) 23 sq cm (d) 46 sq cm
- 39.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 18 cm (b) 22 cm (c) 11 cm (d) 28 cm
- 40.A rectangle is 18 cm long and 5 cm wide. What is its area? (a) 108 sq cm (b) 90 sq cm (c) 46 sq cm (d) 23 sq cm
Answer key
- 6 cm
- 11 cm
- 225 sq cm
- 2 cm
- 7 cm
- 132 sq cm
- 2 cm
- 169 sq cm
- 42 cm
- 84 sq cm
- 120 sq cm
- 49 sq cm
- 28 sq cm
- 7 cm
- 16 sq cm
- 11 cm
- 121 sq cm
- 40 cm
- 196 sq cm
- 62 cm
- 108 sq cm
- 2 cm
- 24 cm
- 60 sq cm
- 50 cm
- 44 cm
- 180 sq cm
- 12 sq cm
- 42 cm
- 30 cm
- 216 sq cm
- 32 sq cm
- 114 sq cm
- 24 cm
- 11 cm
- 28 cm
- 56 cm
- 130 sq cm
- 22 cm
- 90 sq cm
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