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 10 cm long and 9 cm wide. What is its area? (a) 38 sq cm (b) 19 sq cm (c) 90 sq cm (d) 100 sq cm
- 2.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 36 sq cm (d) 25 sq cm
- 3.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) 18 cm (d) 9 cm
- 4.A rectangle has an area of 24 sq cm and a length of 6 cm. What is its width? (a) 8 cm (b) 18 cm (c) 5 cm (d) 4 cm
- 5.A rectangle is 17 cm long and 6 cm wide. What is its area? (a) 46 sq cm (b) 119 sq cm (c) 102 sq cm (d) 23 sq cm
- 6.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 12 sq cm (c) 36 sq cm (d) 24 sq cm
- 7.A rectangle is 14 cm long and 6 cm wide. What is its perimeter? (a) 20 cm (b) 34 cm (c) 40 cm (d) 84 cm
- 8.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 10 cm (b) 96 cm (c) 18 cm (d) 9 cm
- 9.A rectangle is 12 cm long and 8 cm wide. What is its perimeter? (a) 20 cm (b) 40 cm (c) 32 cm (d) 96 cm
- 10.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
- 11.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 196 sq cm (c) 26 sq cm (d) 169 sq cm
- 12.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 19 cm (b) 24 cm (c) 22 cm (d) 11 cm
- 13.A rectangle has an area of 70 sq cm and a length of 10 cm. What is its width? (a) 14 cm (b) 7 cm (c) 8 cm (d) 60 cm
- 14.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 13 cm (b) 154 cm (c) 24 cm (d) 12 cm
- 15.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 24 cm (b) 12 cm (c) 21 cm (d) 27 cm
- 16.A rectangle is 19 cm long and 12 cm wide. What is its area? (a) 228 sq cm (b) 31 sq cm (c) 247 sq cm (d) 62 sq cm
- 17.A rectangle has an area of 84 sq cm and a length of 14 cm. What is its width? (a) 6 cm (b) 7 cm (c) 12 cm (d) 70 cm
- 18.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 196 sq cm (d) 225 sq cm
- 19.A rectangle is 12 cm long and 10 cm wide. What is its area? (a) 132 sq cm (b) 44 sq cm (c) 120 sq cm (d) 22 sq cm
- 20.A rectangle has an area of 68 sq cm and a length of 17 cm. What is its width? (a) 51 cm (b) 8 cm (c) 5 cm (d) 4 cm
- 21.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 18 cm (b) 88 cm (c) 10 cm (d) 9 cm
- 22.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 60 sq cm (c) 256 sq cm (d) 225 sq cm
- 23.A rectangle is 15 cm long and 4 cm wide. What is its area? (a) 38 sq cm (b) 19 sq cm (c) 75 sq cm (d) 60 sq cm
- 24.A rectangle is 12 cm long and 9 cm wide. What is its perimeter? (a) 42 cm (b) 33 cm (c) 21 cm (d) 108 cm
- 25.A rectangle has an area of 128 sq cm and a length of 16 cm. What is its width? (a) 9 cm (b) 112 cm (c) 8 cm (d) 16 cm
- 26.A rectangle is 10 cm long and 4 cm wide. What is its perimeter? (a) 40 cm (b) 28 cm (c) 24 cm (d) 14 cm
- 27.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 44 sq cm (c) 144 sq cm (d) 22 sq cm
- 28.A rectangle has an area of 14 sq cm and a length of 7 cm. What is its width? (a) 7 cm (b) 4 cm (c) 3 cm (d) 2 cm
- 29.A rectangle is 20 cm long and 2 cm wide. What is its area? (a) 22 sq cm (b) 44 sq cm (c) 40 sq cm (d) 60 sq cm
- 30.A rectangle is 19 cm long and 7 cm wide. What is its area? (a) 26 sq cm (b) 152 sq cm (c) 133 sq cm (d) 52 sq cm
- 31.A rectangle is 15 cm long and 3 cm wide. What is its perimeter? (a) 45 cm (b) 18 cm (c) 36 cm (d) 33 cm
- 32.A rectangle has an area of 76 sq cm and a length of 19 cm. What is its width? (a) 4 cm (b) 8 cm (c) 5 cm (d) 57 cm
- 33.A rectangle is 15 cm long and 4 cm wide. What is its perimeter? (a) 38 cm (b) 34 cm (c) 19 cm (d) 60 cm
- 34.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 22 sq cm (b) 36 sq cm (c) 30 sq cm (d) 11 sq cm
- 35.A rectangle has an area of 144 sq cm and a length of 16 cm. What is its width? (a) 128 cm (b) 9 cm (c) 18 cm (d) 10 cm
- 36.A rectangle is 10 cm long and 7 cm wide. What is its perimeter? (a) 27 cm (b) 34 cm (c) 17 cm (d) 70 cm
- 37.A rectangle is 15 cm long and 11 cm wide. What is its perimeter? (a) 26 cm (b) 52 cm (c) 41 cm (d) 165 cm
- 38.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 22 sq cm (b) 26 sq cm (c) 13 sq cm (d) 33 sq cm
- 39.A rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 23 cm (b) 30 cm (c) 26 cm (d) 13 cm
- 40.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 16 sq cm (c) 10 sq cm (d) 20 sq cm
Answer key
- 90 sq cm
- 25 sq cm
- 9 cm
- 4 cm
- 102 sq cm
- 36 sq cm
- 40 cm
- 9 cm
- 40 cm
- 56 cm
- 169 sq cm
- 22 cm
- 7 cm
- 12 cm
- 24 cm
- 228 sq cm
- 6 cm
- 196 sq cm
- 120 sq cm
- 4 cm
- 9 cm
- 225 sq cm
- 60 sq cm
- 42 cm
- 8 cm
- 28 cm
- 121 sq cm
- 2 cm
- 40 sq cm
- 133 sq cm
- 36 cm
- 4 cm
- 38 cm
- 30 sq cm
- 9 cm
- 34 cm
- 52 cm
- 22 sq cm
- 26 cm
- 16 sq cm
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