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 110 sq cm and a length of 11 cm. What is its width? (a) 11 cm (b) 20 cm (c) 99 cm (d) 10 cm
- 2.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 18 sq cm (c) 36 sq cm (d) 81 sq cm
- 3.A rectangle is 15 cm long and 4 cm wide. What is its perimeter? (a) 60 cm (b) 34 cm (c) 19 cm (d) 38 cm
- 4.A rectangle has an area of 80 sq cm and a length of 20 cm. What is its width? (a) 5 cm (b) 4 cm (c) 8 cm (d) 60 cm
- 5.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 32 sq cm (c) 12 sq cm (d) 40 sq cm
- 6.A rectangle has an area of 35 sq cm and a length of 7 cm. What is its width? (a) 5 cm (b) 6 cm (c) 10 cm (d) 28 cm
- 7.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 72 sq cm (b) 32 sq cm (c) 63 sq cm (d) 16 sq cm
- 8.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
- 9.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 28 sq cm (b) 35 sq cm (c) 22 sq cm (d) 11 sq cm
- 10.A rectangle has an area of 20 sq cm and a length of 5 cm. What is its width? (a) 8 cm (b) 15 cm (c) 5 cm (d) 4 cm
- 11.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 25 sq cm (c) 36 sq cm (d) 20 sq cm
- 12.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 18 cm (b) 10 cm (c) 9 cm (d) 96 cm
- 13.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 26 sq cm (c) 52 sq cm (d) 169 sq cm
- 14.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 11 cm (b) 150 cm (c) 22 cm (d) 12 cm
- 15.A rectangle is 13 cm long and 4 cm wide. What is its perimeter? (a) 34 cm (b) 30 cm (c) 52 cm (d) 17 cm
- 16.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 32 cm (b) 20 cm (c) 24 cm (d) 12 cm
- 17.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 256 sq cm (c) 30 sq cm (d) 60 sq cm
- 18.A rectangle is 15 cm long and 2 cm wide. What is its area? (a) 34 sq cm (b) 17 sq cm (c) 45 sq cm (d) 30 sq cm
- 19.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 30 sq cm (b) 24 sq cm (c) 20 sq cm (d) 12 sq cm
- 20.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 13 cm (b) 12 cm (c) 24 cm (d) 187 cm
- 21.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 10 cm (b) 11 cm (c) 20 cm (d) 117 cm
- 22.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
- 23.A rectangle has an area of 32 sq cm and a length of 16 cm. What is its width? (a) 2 cm (b) 4 cm (c) 3 cm (d) 16 cm
- 24.A rectangle has an area of 140 sq cm and a length of 14 cm. What is its width? (a) 20 cm (b) 126 cm (c) 10 cm (d) 11 cm
- 25.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its width? (a) 5 cm (b) 21 cm (c) 8 cm (d) 4 cm
- 26.A rectangle is 18 cm long and 5 cm wide. What is its area? (a) 108 sq cm (b) 90 sq cm (c) 46 sq cm (d) 23 sq cm
- 27.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 11 cm (b) 22 cm (c) 12 cm (d) 130 cm
- 28.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 20 sq cm (c) 100 sq cm (d) 40 sq cm
- 29.A rectangle is 17 cm long and 9 cm wide. What is its perimeter? (a) 153 cm (b) 26 cm (c) 52 cm (d) 43 cm
- 30.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 190 cm (b) 12 cm (c) 22 cm (d) 11 cm
- 31.A rectangle has an area of 56 sq cm and a length of 8 cm. What is its width? (a) 14 cm (b) 7 cm (c) 48 cm (d) 8 cm
- 32.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 10 sq cm (b) 16 sq cm (c) 24 sq cm (d) 20 sq cm
- 33.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 108 cm (b) 11 cm (c) 20 cm (d) 10 cm
- 34.A rectangle is 14 cm long and 8 cm wide. What is its perimeter? (a) 22 cm (b) 112 cm (c) 36 cm (d) 44 cm
- 35.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 19 sq cm (b) 18 sq cm (c) 24 sq cm (d) 9 sq cm
- 36.A rectangle has an area of 88 sq cm and a length of 11 cm. What is its width? (a) 16 cm (b) 77 cm (c) 9 cm (d) 8 cm
- 37.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 117 sq cm (b) 42 sq cm (c) 104 sq cm (d) 21 sq cm
- 38.A rectangle has an area of 96 sq cm and a length of 12 cm. What is its width? (a) 9 cm (b) 8 cm (c) 16 cm (d) 84 cm
- 39.A rectangle is 10 cm long and 9 cm wide. What is its perimeter? (a) 19 cm (b) 29 cm (c) 90 cm (d) 38 cm
- 40.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 30 sq cm (b) 20 sq cm (c) 10 sq cm (d) 24 sq cm
Answer key
- 10 cm
- 81 sq cm
- 38 cm
- 4 cm
- 32 sq cm
- 5 cm
- 63 sq cm
- 49 sq cm
- 28 sq cm
- 4 cm
- 25 sq cm
- 9 cm
- 169 sq cm
- 11 cm
- 34 cm
- 24 cm
- 225 sq cm
- 30 sq cm
- 20 sq cm
- 12 cm
- 10 cm
- 36 sq cm
- 2 cm
- 10 cm
- 4 cm
- 90 sq cm
- 11 cm
- 100 sq cm
- 52 cm
- 11 cm
- 7 cm
- 16 sq cm
- 10 cm
- 44 cm
- 18 sq cm
- 8 cm
- 104 sq cm
- 8 cm
- 38 cm
- 24 sq cm
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