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 15 cm long and 2 cm wide. What is its area? (a) 17 sq cm (b) 45 sq cm (c) 34 sq cm (d) 30 sq cm
- 2.A rectangle has an area of 70 sq cm and a length of 10 cm. What is its width? (a) 7 cm (b) 8 cm (c) 60 cm (d) 14 cm
- 3.A rectangle is 13 cm long and 5 cm wide. What is its perimeter? (a) 31 cm (b) 36 cm (c) 18 cm (d) 65 cm
- 4.A rectangle is 14 cm long and 5 cm wide. What is its area? (a) 84 sq cm (b) 38 sq cm (c) 19 sq cm (d) 70 sq cm
- 5.A rectangle is 13 cm long and 9 cm wide. What is its area? (a) 130 sq cm (b) 44 sq cm (c) 22 sq cm (d) 117 sq cm
- 6.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 8 cm (c) 14 cm (d) 12 cm
- 7.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 49 sq cm (c) 64 sq cm (d) 14 sq cm
- 8.A rectangle has an area of 187 sq cm and a length of 17 cm. What is its width? (a) 11 cm (b) 170 cm (c) 22 cm (d) 12 cm
- 9.A rectangle is 15 cm long and 8 cm wide. What is its area? (a) 23 sq cm (b) 120 sq cm (c) 135 sq cm (d) 46 sq cm
- 10.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 32 sq cm (c) 16 sq cm (d) 64 sq cm
- 11.A rectangle has an area of 10 sq cm and a length of 5 cm. What is its width? (a) 3 cm (b) 5 cm (c) 4 cm (d) 2 cm
- 12.A rectangle has an area of 30 sq cm and a length of 6 cm. What is its width? (a) 10 cm (b) 5 cm (c) 24 cm (d) 6 cm
- 13.A rectangle has an area of 120 sq cm and a length of 20 cm. What is its width? (a) 7 cm (b) 100 cm (c) 12 cm (d) 6 cm
- 14.A rectangle is 15 cm long and 11 cm wide. What is its perimeter? (a) 165 cm (b) 41 cm (c) 52 cm (d) 26 cm
- 15.A rectangle has an area of 176 sq cm and a length of 16 cm. What is its width? (a) 22 cm (b) 160 cm (c) 12 cm (d) 11 cm
- 16.A rectangle is 14 cm long and 3 cm wide. What is its perimeter? (a) 34 cm (b) 31 cm (c) 42 cm (d) 17 cm
- 17.A rectangle has an area of 40 sq cm and a length of 10 cm. What is its width? (a) 30 cm (b) 8 cm (c) 5 cm (d) 4 cm
- 18.A rectangle is 14 cm long and 5 cm wide. What is its perimeter? (a) 19 cm (b) 70 cm (c) 38 cm (d) 33 cm
- 19.A rectangle has an area of 170 sq cm and a length of 17 cm. What is its width? (a) 153 cm (b) 10 cm (c) 11 cm (d) 20 cm
- 20.A rectangle is 18 cm long and 2 cm wide. What is its perimeter? (a) 38 cm (b) 40 cm (c) 36 cm (d) 20 cm
- 21.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 14 cm (b) 23 cm (c) 28 cm (d) 45 cm
- 22.A rectangle has an area of 96 sq cm and a length of 12 cm. What is its width? (a) 16 cm (b) 9 cm (c) 84 cm (d) 8 cm
- 23.A rectangle is 20 cm long and 8 cm wide. What is its area? (a) 160 sq cm (b) 56 sq cm (c) 180 sq cm (d) 28 sq cm
- 24.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 20 sq cm (c) 36 sq cm (d) 10 sq cm
- 25.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 24 cm (b) 11 cm (c) 22 cm (d) 19 cm
- 26.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 72 sq cm (d) 63 sq cm
- 27.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 28 sq cm (c) 56 sq cm (d) 225 sq cm
- 28.A rectangle is 15 cm long and 5 cm wide. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 75 sq cm (d) 90 sq cm
- 29.A rectangle has an area of 56 sq cm and a length of 8 cm. What is its width? (a) 48 cm (b) 7 cm (c) 14 cm (d) 8 cm
- 30.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 18 cm (b) 9 cm (c) 15 cm (d) 19 cm
- 31.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 49 sq cm (d) 36 sq cm
- 32.A rectangle is 13 cm long and 5 cm wide. What is its area? (a) 78 sq cm (b) 36 sq cm (c) 18 sq cm (d) 65 sq cm
- 33.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 100 sq cm (d) 81 sq cm
- 34.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
- 35.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 21 sq cm (b) 18 sq cm (c) 14 sq cm (d) 9 sq cm
- 36.A rectangle is 13 cm long and 4 cm wide. What is its perimeter? (a) 30 cm (b) 17 cm (c) 52 cm (d) 34 cm
- 37.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 169 sq cm (c) 48 sq cm (d) 144 sq cm
- 38.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its width? (a) 4 cm (b) 3 cm (c) 6 cm (d) 12 cm
- 39.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 256 sq cm (c) 60 sq cm (d) 30 sq cm
- 40.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 35 cm (b) 12 cm (c) 19 cm (d) 24 cm
Answer key
- 30 sq cm
- 7 cm
- 36 cm
- 70 sq cm
- 117 sq cm
- 16 cm
- 49 sq cm
- 11 cm
- 120 sq cm
- 64 sq cm
- 2 cm
- 5 cm
- 6 cm
- 52 cm
- 11 cm
- 34 cm
- 4 cm
- 38 cm
- 10 cm
- 40 cm
- 28 cm
- 8 cm
- 160 sq cm
- 25 sq cm
- 22 cm
- 63 sq cm
- 196 sq cm
- 75 sq cm
- 7 cm
- 18 cm
- 36 sq cm
- 65 sq cm
- 81 sq cm
- 121 sq cm
- 14 sq cm
- 34 cm
- 144 sq cm
- 3 cm
- 225 sq cm
- 24 cm
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