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 5 cm wide. What is its perimeter? (a) 25 cm (b) 30 cm (c) 15 cm (d) 50 cm
- 2.A rectangle has an area of 66 sq cm and a length of 11 cm. What is its width? (a) 55 cm (b) 7 cm (c) 12 cm (d) 6 cm
- 3.A rectangle is 15 cm long and 9 cm wide. What is its area? (a) 24 sq cm (b) 48 sq cm (c) 135 sq cm (d) 150 sq cm
- 4.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 64 sq cm (c) 14 sq cm (d) 49 sq cm
- 5.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
- 6.A rectangle is 11 cm long and 5 cm wide. What is its area? (a) 66 sq cm (b) 32 sq cm (c) 55 sq cm (d) 16 sq cm
- 7.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 196 sq cm (c) 56 sq cm (d) 225 sq cm
- 8.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
- 9.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 20 sq cm (c) 16 sq cm (d) 10 sq cm
- 10.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 169 sq cm (d) 196 sq cm
- 11.A rectangle is 19 cm long and 8 cm wide. What is its area? (a) 152 sq cm (b) 54 sq cm (c) 171 sq cm (d) 27 sq cm
- 12.A rectangle has an area of 12 sq cm and a length of 6 cm. What is its width? (a) 2 cm (b) 3 cm (c) 6 cm (d) 4 cm
- 13.A rectangle is 10 cm long and 8 cm wide. What is its perimeter? (a) 80 cm (b) 18 cm (c) 36 cm (d) 28 cm
- 14.A rectangle is 14 cm long and 7 cm wide. What is its perimeter? (a) 21 cm (b) 98 cm (c) 35 cm (d) 42 cm
- 15.A rectangle is 19 cm long and 12 cm wide. What is its area? (a) 228 sq cm (b) 31 sq cm (c) 62 sq cm (d) 247 sq cm
- 16.A rectangle is 18 cm long and 2 cm wide. What is its perimeter? (a) 40 cm (b) 20 cm (c) 38 cm (d) 36 cm
- 17.A rectangle has an area of 90 sq cm and a length of 18 cm. What is its width? (a) 72 cm (b) 10 cm (c) 5 cm (d) 6 cm
- 18.A rectangle is 13 cm long and 10 cm wide. What is its perimeter? (a) 130 cm (b) 23 cm (c) 36 cm (d) 46 cm
- 19.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 12 cm (b) 16 cm (c) 14 cm (d) 8 cm
- 20.A rectangle is 12 cm long and 8 cm wide. What is its perimeter? (a) 96 cm (b) 20 cm (c) 40 cm (d) 32 cm
- 21.A rectangle has an area of 14 sq cm and a length of 7 cm. What is its width? (a) 3 cm (b) 4 cm (c) 2 cm (d) 7 cm
- 22.A rectangle is 18 cm long and 10 cm wide. What is its perimeter? (a) 28 cm (b) 56 cm (c) 46 cm (d) 180 cm
- 23.A rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 30 cm (b) 26 cm (c) 23 cm (d) 13 cm
- 24.A rectangle has an area of 171 sq cm and a length of 19 cm. What is its width? (a) 10 cm (b) 18 cm (c) 152 cm (d) 9 cm
- 25.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 40 sq cm (c) 100 sq cm (d) 20 sq cm
- 26.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 36 sq cm (d) 49 sq cm
- 27.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 18 cm (b) 96 cm (c) 10 cm (d) 9 cm
- 28.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 40 cm (b) 26 cm (c) 21 cm (d) 13 cm
- 29.A rectangle is 18 cm long and 10 cm wide. What is its area? (a) 198 sq cm (b) 180 sq cm (c) 56 sq cm (d) 28 sq cm
- 30.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 198 cm (b) 12 cm (c) 13 cm (d) 24 cm
- 31.A rectangle is 10 cm long and 9 cm wide. What is its perimeter? (a) 90 cm (b) 19 cm (c) 38 cm (d) 29 cm
- 32.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 32 cm (b) 24 cm (c) 12 cm (d) 20 cm
- 33.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 25 sq cm (c) 10 sq cm (d) 20 sq cm
- 34.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 11 cm (b) 22 cm (c) 18 cm (d) 28 cm
- 35.A rectangle has an area of 160 sq cm and a length of 16 cm. What is its width? (a) 20 cm (b) 11 cm (c) 10 cm (d) 144 cm
- 36.A rectangle has an area of 40 sq cm and a length of 10 cm. What is its width? (a) 5 cm (b) 4 cm (c) 30 cm (d) 8 cm
- 37.A rectangle has an area of 28 sq cm and a length of 14 cm. What is its width? (a) 14 cm (b) 4 cm (c) 2 cm (d) 3 cm
- 38.A rectangle is 12 cm long and 10 cm wide. What is its area? (a) 22 sq cm (b) 120 sq cm (c) 132 sq cm (d) 44 sq cm
- 39.A rectangle is 14 cm long and 4 cm wide. What is its area? (a) 36 sq cm (b) 56 sq cm (c) 18 sq cm (d) 70 sq cm
- 40.A rectangle has an area of 48 sq cm and a length of 8 cm. What is its width? (a) 6 cm (b) 7 cm (c) 12 cm (d) 40 cm
Answer key
- 30 cm
- 6 cm
- 135 sq cm
- 49 sq cm
- 144 sq cm
- 55 sq cm
- 196 sq cm
- 81 sq cm
- 16 sq cm
- 169 sq cm
- 152 sq cm
- 2 cm
- 36 cm
- 42 cm
- 228 sq cm
- 40 cm
- 5 cm
- 46 cm
- 16 cm
- 40 cm
- 2 cm
- 56 cm
- 26 cm
- 9 cm
- 100 sq cm
- 36 sq cm
- 9 cm
- 26 cm
- 180 sq cm
- 12 cm
- 38 cm
- 24 cm
- 25 sq cm
- 22 cm
- 10 cm
- 4 cm
- 2 cm
- 120 sq cm
- 56 sq cm
- 6 cm
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