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 17 cm long and 11 cm wide. What is its perimeter? (a) 56 cm (b) 187 cm (c) 28 cm (d) 45 cm
- 2.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 64 sq cm (d) 49 sq cm
- 3.A rectangle is 15 cm long and 6 cm wide. What is its area? (a) 42 sq cm (b) 105 sq cm (c) 90 sq cm (d) 21 sq cm
- 4.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 36 sq cm (c) 12 sq cm (d) 24 sq cm
- 5.A rectangle has an area of 33 sq cm and a length of 11 cm. What is its width? (a) 22 cm (b) 6 cm (c) 4 cm (d) 3 cm
- 6.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 81 sq cm (d) 64 sq cm
- 7.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 120 cm (b) 12 cm (c) 22 cm (d) 11 cm
- 8.A rectangle has an area of 72 sq cm and a length of 9 cm. What is its width? (a) 16 cm (b) 8 cm (c) 9 cm (d) 63 cm
- 9.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 121 sq cm (c) 20 sq cm (d) 100 sq cm
- 10.A rectangle has an area of 120 sq cm and a length of 20 cm. What is its width? (a) 100 cm (b) 6 cm (c) 7 cm (d) 12 cm
- 11.A rectangle is 19 cm long and 9 cm wide. What is its perimeter? (a) 47 cm (b) 56 cm (c) 28 cm (d) 171 cm
- 12.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 10 cm (b) 20 cm (c) 21 cm (d) 17 cm
- 13.A rectangle is 17 cm long and 4 cm wide. What is its area? (a) 21 sq cm (b) 85 sq cm (c) 42 sq cm (d) 68 sq cm
- 14.A rectangle has an area of 56 sq cm and a length of 14 cm. What is its width? (a) 42 cm (b) 8 cm (c) 4 cm (d) 5 cm
- 15.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 22 sq cm (c) 44 sq cm (d) 121 sq cm
- 16.A rectangle is 11 cm long and 4 cm wide. What is its area? (a) 44 sq cm (b) 15 sq cm (c) 55 sq cm (d) 30 sq cm
- 17.A rectangle is 17 cm long and 5 cm wide. What is its perimeter? (a) 22 cm (b) 39 cm (c) 85 cm (d) 44 cm
- 18.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 225 sq cm (c) 56 sq cm (d) 196 sq cm
- 19.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
- 20.A rectangle is 12 cm long and 4 cm wide. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 48 sq cm (d) 60 sq cm
- 21.A rectangle is 19 cm long and 7 cm wide. What is its perimeter? (a) 133 cm (b) 26 cm (c) 45 cm (d) 52 cm
- 22.A rectangle has an area of 117 sq cm and a length of 13 cm. What is its width? (a) 104 cm (b) 10 cm (c) 9 cm (d) 18 cm
- 23.A rectangle has an area of 66 sq cm and a length of 11 cm. What is its width? (a) 6 cm (b) 7 cm (c) 55 cm (d) 12 cm
- 24.A rectangle is 14 cm long and 11 cm wide. What is its perimeter? (a) 39 cm (b) 25 cm (c) 154 cm (d) 50 cm
- 25.A rectangle is 17 cm long and 3 cm wide. What is its perimeter? (a) 37 cm (b) 51 cm (c) 20 cm (d) 40 cm
- 26.A rectangle has an area of 65 sq cm and a length of 13 cm. What is its width? (a) 52 cm (b) 5 cm (c) 6 cm (d) 10 cm
- 27.A rectangle is 19 cm long and 6 cm wide. What is its area? (a) 50 sq cm (b) 114 sq cm (c) 133 sq cm (d) 25 sq cm
- 28.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 10 sq cm (b) 24 sq cm (c) 20 sq cm (d) 30 sq cm
- 29.A rectangle has an area of 32 sq cm and a length of 8 cm. What is its width? (a) 4 cm (b) 5 cm (c) 8 cm (d) 24 cm
- 30.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 40 cm (b) 13 cm (c) 21 cm (d) 26 cm
- 31.A rectangle has an area of 55 sq cm and a length of 11 cm. What is its width? (a) 5 cm (b) 6 cm (c) 44 cm (d) 10 cm
- 32.A rectangle is 19 cm long and 6 cm wide. What is its perimeter? (a) 25 cm (b) 44 cm (c) 50 cm (d) 114 cm
- 33.A rectangle is 18 cm long and 11 cm wide. What is its area? (a) 198 sq cm (b) 29 sq cm (c) 216 sq cm (d) 58 sq cm
- 34.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 54 cm (b) 30 cm (c) 15 cm (d) 24 cm
- 35.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 28 cm (b) 18 cm (c) 22 cm (d) 11 cm
- 36.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 21 sq cm (b) 28 sq cm (c) 10 sq cm (d) 20 sq cm
- 37.A rectangle is 11 cm long and 7 cm wide. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 88 sq cm (d) 77 sq cm
- 38.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 100 sq cm (c) 36 sq cm (d) 81 sq cm
- 39.A rectangle is 16 cm long and 6 cm wide. What is its area? (a) 112 sq cm (b) 22 sq cm (c) 96 sq cm (d) 44 sq cm
- 40.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 26 sq cm (b) 42 sq cm (c) 49 sq cm (d) 13 sq cm
Answer key
- 56 cm
- 49 sq cm
- 90 sq cm
- 36 sq cm
- 3 cm
- 64 sq cm
- 11 cm
- 8 cm
- 100 sq cm
- 6 cm
- 56 cm
- 20 cm
- 68 sq cm
- 4 cm
- 121 sq cm
- 44 sq cm
- 44 cm
- 196 sq cm
- 30 cm
- 48 sq cm
- 52 cm
- 9 cm
- 6 cm
- 50 cm
- 40 cm
- 5 cm
- 114 sq cm
- 24 sq cm
- 4 cm
- 26 cm
- 5 cm
- 50 cm
- 198 sq cm
- 30 cm
- 22 cm
- 21 sq cm
- 77 sq cm
- 81 sq cm
- 96 sq cm
- 42 sq cm
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