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 21 sq cm and a length of 7 cm. What is its width? (a) 4 cm (b) 6 cm (c) 14 cm (d) 3 cm
- 2.A rectangle is 17 cm long and 4 cm wide. What is its perimeter? (a) 68 cm (b) 38 cm (c) 21 cm (d) 42 cm
- 3.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 121 sq cm (c) 20 sq cm (d) 40 sq cm
- 4.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 20 sq cm (c) 30 sq cm (d) 12 sq cm
- 5.A rectangle is 13 cm long and 10 cm wide. What is its perimeter? (a) 130 cm (b) 46 cm (c) 36 cm (d) 23 cm
- 6.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its width? (a) 12 cm (b) 3 cm (c) 6 cm (d) 4 cm
- 7.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 49 sq cm (d) 36 sq cm
- 8.A rectangle is 15 cm long and 2 cm wide. What is its perimeter? (a) 17 cm (b) 30 cm (c) 34 cm (d) 32 cm
- 9.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 28 sq cm (c) 196 sq cm (d) 56 sq cm
- 10.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 21 sq cm (b) 10 sq cm (c) 20 sq cm (d) 28 sq cm
- 11.A rectangle has an area of 126 sq cm and a length of 14 cm. What is its width? (a) 9 cm (b) 112 cm (c) 18 cm (d) 10 cm
- 12.A rectangle is 20 cm long and 12 cm wide. What is its area? (a) 32 sq cm (b) 240 sq cm (c) 260 sq cm (d) 64 sq cm
- 13.A rectangle is 20 cm long and 3 cm wide. What is its area? (a) 80 sq cm (b) 60 sq cm (c) 46 sq cm (d) 23 sq cm
- 14.A rectangle is 13 cm long and 4 cm wide. What is its perimeter? (a) 52 cm (b) 30 cm (c) 34 cm (d) 17 cm
- 15.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 60 sq cm (c) 30 sq cm (d) 225 sq cm
- 16.A rectangle has an area of 70 sq cm and a length of 14 cm. What is its width? (a) 5 cm (b) 6 cm (c) 10 cm (d) 56 cm
- 17.A rectangle is 15 cm long and 4 cm wide. What is its perimeter? (a) 19 cm (b) 60 cm (c) 34 cm (d) 38 cm
- 18.A rectangle has an area of 76 sq cm and a length of 19 cm. What is its width? (a) 8 cm (b) 5 cm (c) 57 cm (d) 4 cm
- 19.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 32 sq cm (b) 60 sq cm (c) 70 sq cm (d) 16 sq cm
- 20.A rectangle is 13 cm long and 9 cm wide. What is its perimeter? (a) 35 cm (b) 22 cm (c) 44 cm (d) 117 cm
- 21.A rectangle has an area of 56 sq cm and a length of 8 cm. What is its width? (a) 14 cm (b) 48 cm (c) 8 cm (d) 7 cm
- 22.A rectangle is 15 cm long and 9 cm wide. What is its perimeter? (a) 24 cm (b) 135 cm (c) 39 cm (d) 48 cm
- 23.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 8 cm (b) 16 cm (c) 12 cm (d) 14 cm
- 24.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 20 cm (b) 42 cm (c) 13 cm (d) 26 cm
- 25.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 24 sq cm (d) 30 sq cm
- 26.A rectangle has an area of 150 sq cm and a length of 15 cm. What is its width? (a) 20 cm (b) 135 cm (c) 10 cm (d) 11 cm
- 27.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 20 cm (c) 16 cm (d) 10 cm
- 28.A rectangle is 11 cm long and 4 cm wide. What is its area? (a) 55 sq cm (b) 44 sq cm (c) 30 sq cm (d) 15 sq cm
- 29.A rectangle is 16 cm long and 3 cm wide. What is its perimeter? (a) 35 cm (b) 19 cm (c) 48 cm (d) 38 cm
- 30.A rectangle is 12 cm long and 10 cm wide. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 132 sq cm (d) 120 sq cm
- 31.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
- 32.A rectangle is 12 cm long and 5 cm wide. What is its perimeter? (a) 17 cm (b) 29 cm (c) 34 cm (d) 60 cm
- 33.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 81 sq cm (c) 32 sq cm (d) 64 sq cm
- 34.A rectangle has an area of 220 sq cm and a length of 20 cm. What is its width? (a) 200 cm (b) 11 cm (c) 22 cm (d) 12 cm
- 35.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 12 cm (b) 130 cm (c) 22 cm (d) 11 cm
- 36.A rectangle has an area of 90 sq cm and a length of 10 cm. What is its width? (a) 80 cm (b) 18 cm (c) 9 cm (d) 10 cm
- 37.A rectangle is 20 cm long and 12 cm wide. What is its perimeter? (a) 64 cm (b) 52 cm (c) 240 cm (d) 32 cm
- 38.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 10 cm (b) 24 cm (c) 20 cm (d) 16 cm
- 39.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 10 cm (b) 99 cm (c) 11 cm (d) 20 cm
- 40.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 17 cm (b) 21 cm (c) 20 cm (d) 10 cm
Answer key
- 3 cm
- 42 cm
- 100 sq cm
- 20 sq cm
- 46 cm
- 3 cm
- 36 sq cm
- 34 cm
- 196 sq cm
- 21 sq cm
- 9 cm
- 240 sq cm
- 60 sq cm
- 34 cm
- 225 sq cm
- 5 cm
- 38 cm
- 4 cm
- 60 sq cm
- 44 cm
- 7 cm
- 48 cm
- 16 cm
- 26 cm
- 24 sq cm
- 10 cm
- 20 cm
- 44 sq cm
- 38 cm
- 120 sq cm
- 70 sq cm
- 34 cm
- 64 sq cm
- 11 cm
- 11 cm
- 9 cm
- 64 cm
- 20 cm
- 10 cm
- 20 cm
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