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 is 9 cm long and 8 cm wide. What is its area? (a) 17 sq cm (b) 81 sq cm (c) 72 sq cm (d) 34 sq cm
- 2.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 96 cm (b) 9 cm (c) 18 cm (d) 10 cm
- 3.A rectangle has an area of 45 sq cm and a length of 15 cm. What is its width? (a) 30 cm (b) 4 cm (c) 6 cm (d) 3 cm
- 4.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 22 cm (b) 11 cm (c) 24 cm (d) 19 cm
- 5.A rectangle is 10 cm long and 7 cm wide. What is its perimeter? (a) 27 cm (b) 70 cm (c) 17 cm (d) 34 cm
- 6.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 20 cm (b) 108 cm (c) 11 cm (d) 10 cm
- 7.A rectangle has an area of 120 sq cm and a length of 15 cm. What is its width? (a) 16 cm (b) 8 cm (c) 9 cm (d) 105 cm
- 8.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 36 sq cm (c) 25 sq cm (d) 20 sq cm
- 9.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 36 sq cm (d) 49 sq cm
- 10.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 36 sq cm (c) 18 sq cm (d) 81 sq cm
- 11.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 30 sq cm (b) 54 sq cm (c) 15 sq cm (d) 63 sq cm
- 12.A rectangle is 14 cm long and 6 cm wide. What is its area? (a) 20 sq cm (b) 98 sq cm (c) 40 sq cm (d) 84 sq cm
- 13.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 187 cm (b) 12 cm (c) 13 cm (d) 24 cm
- 14.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 9 cm (b) 88 cm (c) 10 cm (d) 18 cm
- 15.A rectangle has an area of 90 sq cm and a length of 18 cm. What is its width? (a) 5 cm (b) 6 cm (c) 10 cm (d) 72 cm
- 16.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 48 sq cm (c) 144 sq cm (d) 24 sq cm
- 17.A rectangle is 14 cm long and 4 cm wide. What is its area? (a) 56 sq cm (b) 18 sq cm (c) 70 sq cm (d) 36 sq cm
- 18.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 24 sq cm (d) 16 sq cm
- 19.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 8 sq cm (c) 16 sq cm (d) 12 sq cm
- 20.A rectangle is 19 cm long and 2 cm wide. What is its area? (a) 42 sq cm (b) 57 sq cm (c) 21 sq cm (d) 38 sq cm
- 21.A rectangle is 16 cm long and 3 cm wide. What is its area? (a) 48 sq cm (b) 38 sq cm (c) 64 sq cm (d) 19 sq cm
- 22.A rectangle has an area of 68 sq cm and a length of 17 cm. What is its width? (a) 5 cm (b) 4 cm (c) 51 cm (d) 8 cm
- 23.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 9 cm (b) 14 cm (c) 18 cm (d) 16 cm
- 24.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) 24 cm (d) 13 cm
- 25.A rectangle is 20 cm long and 5 cm wide. What is its area? (a) 50 sq cm (b) 25 sq cm (c) 120 sq cm (d) 100 sq cm
- 26.A rectangle is 12 cm long and 7 cm wide. What is its area? (a) 19 sq cm (b) 38 sq cm (c) 96 sq cm (d) 84 sq cm
- 27.A rectangle is 13 cm long and 7 cm wide. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 91 sq cm (d) 104 sq cm
- 28.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 121 sq cm (c) 100 sq cm (d) 20 sq cm
- 29.A rectangle has an area of 84 sq cm and a length of 14 cm. What is its width? (a) 7 cm (b) 12 cm (c) 6 cm (d) 70 cm
- 30.A rectangle has an area of 20 sq cm and a length of 5 cm. What is its width? (a) 4 cm (b) 5 cm (c) 8 cm (d) 15 cm
- 31.A rectangle is 12 cm long and 4 cm wide. What is its perimeter? (a) 28 cm (b) 16 cm (c) 32 cm (d) 48 cm
- 32.A rectangle has an area of 40 sq cm and a length of 10 cm. What is its width? (a) 5 cm (b) 8 cm (c) 30 cm (d) 4 cm
- 33.A rectangle has an area of 154 sq cm and a length of 14 cm. What is its width? (a) 11 cm (b) 140 cm (c) 12 cm (d) 22 cm
- 34.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 35 sq cm (d) 42 sq cm
- 35.A rectangle has an area of 21 sq cm and a length of 7 cm. What is its width? (a) 6 cm (b) 4 cm (c) 14 cm (d) 3 cm
- 36.A rectangle has an area of 100 sq cm and a length of 20 cm. What is its width? (a) 80 cm (b) 10 cm (c) 5 cm (d) 6 cm
- 37.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 50 sq cm (b) 30 sq cm (c) 15 sq cm (d) 60 sq cm
- 38.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 36 sq cm (c) 27 sq cm (d) 12 sq cm
- 39.A rectangle is 10 cm long and 6 cm wide. What is its perimeter? (a) 26 cm (b) 16 cm (c) 32 cm (d) 60 cm
- 40.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 225 sq cm (d) 196 sq cm
Answer key
- 72 sq cm
- 9 cm
- 3 cm
- 22 cm
- 34 cm
- 10 cm
- 8 cm
- 25 sq cm
- 36 sq cm
- 81 sq cm
- 54 sq cm
- 84 sq cm
- 12 cm
- 9 cm
- 5 cm
- 144 sq cm
- 56 sq cm
- 16 sq cm
- 12 sq cm
- 38 sq cm
- 48 sq cm
- 4 cm
- 18 cm
- 12 cm
- 100 sq cm
- 84 sq cm
- 91 sq cm
- 100 sq cm
- 6 cm
- 4 cm
- 32 cm
- 4 cm
- 11 cm
- 35 sq cm
- 3 cm
- 5 cm
- 50 sq cm
- 27 sq cm
- 32 cm
- 196 sq cm
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