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 144 sq cm and a length of 18 cm. What is its width? (a) 9 cm (b) 16 cm (c) 8 cm (d) 126 cm
- 2.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
- 3.A rectangle has an area of 36 sq cm and a length of 12 cm. What is its width? (a) 24 cm (b) 4 cm (c) 3 cm (d) 6 cm
- 4.A rectangle is 19 cm long and 2 cm wide. What is its area? (a) 57 sq cm (b) 38 sq cm (c) 21 sq cm (d) 42 sq cm
- 5.A rectangle is 13 cm long and 12 cm wide. What is its area? (a) 169 sq cm (b) 50 sq cm (c) 25 sq cm (d) 156 sq cm
- 6.A rectangle is 15 cm long and 11 cm wide. What is its area? (a) 180 sq cm (b) 26 sq cm (c) 165 sq cm (d) 52 sq cm
- 7.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 256 sq cm (c) 30 sq cm (d) 225 sq cm
- 8.A rectangle is 18 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 36 cm (c) 38 cm (d) 40 cm
- 9.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
- 10.A rectangle is 19 cm long and 11 cm wide. What is its perimeter? (a) 49 cm (b) 30 cm (c) 209 cm (d) 60 cm
- 11.A rectangle is 18 cm long and 7 cm wide. What is its perimeter? (a) 50 cm (b) 25 cm (c) 43 cm (d) 126 cm
- 12.A rectangle is 19 cm long and 7 cm wide. What is its area? (a) 133 sq cm (b) 26 sq cm (c) 152 sq cm (d) 52 sq cm
- 13.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 36 sq cm (b) 22 sq cm (c) 30 sq cm (d) 11 sq cm
- 14.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 36 sq cm (c) 49 sq cm (d) 24 sq cm
- 15.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 10 sq cm (b) 24 sq cm (c) 30 sq cm (d) 20 sq cm
- 16.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 100 sq cm (c) 18 sq cm (d) 81 sq cm
- 17.A rectangle is 18 cm long and 2 cm wide. What is its area? (a) 36 sq cm (b) 40 sq cm (c) 54 sq cm (d) 20 sq cm
- 18.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 34 sq cm (b) 70 sq cm (c) 80 sq cm (d) 17 sq cm
- 19.A rectangle has an area of 20 sq cm and a length of 10 cm. What is its width? (a) 10 cm (b) 4 cm (c) 3 cm (d) 2 cm
- 20.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 13 cm (b) 24 cm (c) 209 cm (d) 12 cm
- 21.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 34 sq cm (b) 17 sq cm (c) 72 sq cm (d) 81 sq cm
- 22.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 34 cm (b) 17 cm (c) 26 cm (d) 72 cm
- 23.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 10 cm (c) 16 cm (d) 18 cm
- 24.A rectangle has an area of 40 sq cm and a length of 20 cm. What is its width? (a) 4 cm (b) 2 cm (c) 3 cm (d) 20 cm
- 25.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 12 cm (b) 24 cm (c) 198 cm (d) 13 cm
- 26.A rectangle has an area of 150 sq cm and a length of 15 cm. What is its width? (a) 135 cm (b) 10 cm (c) 11 cm (d) 20 cm
- 27.A rectangle is 20 cm long and 10 cm wide. What is its area? (a) 60 sq cm (b) 220 sq cm (c) 200 sq cm (d) 30 sq cm
- 28.A rectangle has an area of 220 sq cm and a length of 20 cm. What is its width? (a) 200 cm (b) 12 cm (c) 11 cm (d) 22 cm
- 29.A rectangle has an area of 36 sq cm and a length of 9 cm. What is its width? (a) 4 cm (b) 5 cm (c) 8 cm (d) 27 cm
- 30.A rectangle has an area of 90 sq cm and a length of 10 cm. What is its width? (a) 10 cm (b) 80 cm (c) 18 cm (d) 9 cm
- 31.A rectangle has an area of 12 sq cm and a length of 4 cm. What is its width? (a) 6 cm (b) 4 cm (c) 3 cm (d) 8 cm
- 32.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 30 sq cm (b) 56 sq cm (c) 15 sq cm (d) 64 sq cm
- 33.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 11 cm (b) 24 cm (c) 22 cm (d) 19 cm
- 34.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 100 sq cm (c) 20 sq cm (d) 40 sq cm
- 35.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 26 sq cm (c) 196 sq cm (d) 52 sq cm
- 36.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 20 sq cm (b) 28 sq cm (c) 21 sq cm (d) 10 sq cm
- 37.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
- 38.A rectangle has an area of 117 sq cm and a length of 13 cm. What is its width? (a) 9 cm (b) 10 cm (c) 18 cm (d) 104 cm
- 39.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 11 sq cm (c) 32 sq cm (d) 22 sq cm
- 40.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 45 cm (b) 23 cm (c) 28 cm (d) 14 cm
Answer key
- 8 cm
- 25 sq cm
- 3 cm
- 38 sq cm
- 156 sq cm
- 165 sq cm
- 225 sq cm
- 40 cm
- 4 cm
- 60 cm
- 50 cm
- 133 sq cm
- 30 sq cm
- 36 sq cm
- 24 sq cm
- 81 sq cm
- 36 sq cm
- 70 sq cm
- 2 cm
- 12 cm
- 72 sq cm
- 34 cm
- 20 cm
- 2 cm
- 12 cm
- 10 cm
- 200 sq cm
- 11 cm
- 4 cm
- 9 cm
- 3 cm
- 56 sq cm
- 22 cm
- 100 sq cm
- 169 sq cm
- 21 sq cm
- 64 sq cm
- 9 cm
- 24 sq cm
- 28 cm
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