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 15 sq cm and a length of 5 cm. What is its width? (a) 4 cm (b) 6 cm (c) 10 cm (d) 3 cm
- 2.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 44 sq cm (c) 22 sq cm (d) 121 sq cm
- 3.A rectangle has an area of 65 sq cm and a length of 13 cm. What is its width? (a) 5 cm (b) 6 cm (c) 10 cm (d) 52 cm
- 4.A rectangle is 17 cm long and 3 cm wide. What is its perimeter? (a) 51 cm (b) 40 cm (c) 20 cm (d) 37 cm
- 5.A rectangle has an area of 20 sq cm and a length of 5 cm. What is its width? (a) 4 cm (b) 5 cm (c) 8 cm (d) 15 cm
- 6.A rectangle is 15 cm long and 3 cm wide. What is its perimeter? (a) 45 cm (b) 33 cm (c) 36 cm (d) 18 cm
- 7.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 30 sq cm (c) 256 sq cm (d) 60 sq cm
- 8.A rectangle is 17 cm long and 10 cm wide. What is its area? (a) 170 sq cm (b) 187 sq cm (c) 27 sq cm (d) 54 sq cm
- 9.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 169 sq cm (d) 144 sq cm
- 10.A rectangle has an area of 24 sq cm and a length of 12 cm. What is its width? (a) 3 cm (b) 2 cm (c) 12 cm (d) 4 cm
- 11.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 36 sq cm (c) 25 sq cm (d) 10 sq cm
- 12.A rectangle is 13 cm long and 2 cm wide. What is its perimeter? (a) 28 cm (b) 15 cm (c) 26 cm (d) 30 cm
- 13.A rectangle is 20 cm long and 11 cm wide. What is its area? (a) 240 sq cm (b) 31 sq cm (c) 220 sq cm (d) 62 sq cm
- 14.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 12 sq cm (b) 32 sq cm (c) 40 sq cm (d) 24 sq cm
- 15.A rectangle is 17 cm long and 5 cm wide. What is its perimeter? (a) 85 cm (b) 39 cm (c) 44 cm (d) 22 cm
- 16.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 196 sq cm (d) 169 sq cm
- 17.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 23 cm (b) 14 cm (c) 28 cm (d) 45 cm
- 18.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 48 sq cm (d) 14 sq cm
- 19.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 27 cm (b) 21 cm (c) 12 cm (d) 24 cm
- 20.A rectangle has an area of 57 sq cm and a length of 19 cm. What is its width? (a) 6 cm (b) 3 cm (c) 4 cm (d) 38 cm
- 21.A rectangle is 13 cm long and 4 cm wide. What is its perimeter? (a) 30 cm (b) 52 cm (c) 34 cm (d) 17 cm
- 22.A rectangle is 17 cm long and 10 cm wide. What is its perimeter? (a) 54 cm (b) 170 cm (c) 44 cm (d) 27 cm
- 23.A rectangle is 19 cm long and 5 cm wide. What is its perimeter? (a) 95 cm (b) 43 cm (c) 24 cm (d) 48 cm
- 24.A rectangle is 17 cm long and 11 cm wide. What is its perimeter? (a) 28 cm (b) 56 cm (c) 187 cm (d) 45 cm
- 25.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 15 sq cm (b) 64 sq cm (c) 30 sq cm (d) 56 sq cm
- 26.A rectangle is 13 cm long and 6 cm wide. What is its perimeter? (a) 32 cm (b) 19 cm (c) 38 cm (d) 78 cm
- 27.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
- 28.A rectangle is 18 cm long and 9 cm wide. What is its area? (a) 54 sq cm (b) 180 sq cm (c) 162 sq cm (d) 27 sq cm
- 29.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 12 cm (b) 19 cm (c) 35 cm (d) 24 cm
- 30.A rectangle has an area of 133 sq cm and a length of 19 cm. What is its width? (a) 14 cm (b) 114 cm (c) 8 cm (d) 7 cm
- 31.A rectangle is 18 cm long and 3 cm wide. What is its perimeter? (a) 39 cm (b) 21 cm (c) 42 cm (d) 54 cm
- 32.A rectangle is 20 cm long and 9 cm wide. What is its perimeter? (a) 49 cm (b) 180 cm (c) 29 cm (d) 58 cm
- 33.A rectangle has an area of 160 sq cm and a length of 16 cm. What is its width? (a) 10 cm (b) 20 cm (c) 11 cm (d) 144 cm
- 34.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 24 sq cm (c) 12 sq cm (d) 49 sq cm
- 35.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 225 sq cm (c) 28 sq cm (d) 56 sq cm
- 36.A rectangle is 19 cm long and 11 cm wide. What is its area? (a) 228 sq cm (b) 209 sq cm (c) 60 sq cm (d) 30 sq cm
- 37.A rectangle has an area of 34 sq cm and a length of 17 cm. What is its width? (a) 3 cm (b) 2 cm (c) 4 cm (d) 17 cm
- 38.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 24 cm (b) 13 cm (c) 12 cm (d) 187 cm
- 39.A rectangle is 19 cm long and 9 cm wide. What is its perimeter? (a) 56 cm (b) 171 cm (c) 28 cm (d) 47 cm
- 40.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 26 cm (b) 40 cm (c) 13 cm (d) 21 cm
Answer key
- 3 cm
- 121 sq cm
- 5 cm
- 40 cm
- 4 cm
- 36 cm
- 225 sq cm
- 170 sq cm
- 144 sq cm
- 2 cm
- 25 sq cm
- 30 cm
- 220 sq cm
- 32 sq cm
- 44 cm
- 169 sq cm
- 28 cm
- 48 sq cm
- 24 cm
- 3 cm
- 34 cm
- 54 cm
- 48 cm
- 56 cm
- 56 sq cm
- 38 cm
- 100 sq cm
- 162 sq cm
- 24 cm
- 7 cm
- 42 cm
- 58 cm
- 10 cm
- 36 sq cm
- 196 sq cm
- 209 sq cm
- 2 cm
- 12 cm
- 56 cm
- 26 cm
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