Finding Area and Perimeter of Similar Shapes: Grade 6 Quiz

1. A rectangle has a length of 8 cm and a width of 4 cm. If a similar rectangle has a length of 12 cm, what is its width?

• 7 cm

• 5 cm

• 9 cm

• 6 cm

2. Two similar triangles have a ratio of 3:5. If the perimeter of the smaller triangle is 24 cm, what is the perimeter of the larger triangle?

• 30 cm

• 50 cm

• 36 cm

• 40 cm

3. A square has a side length of 6 m. If a similar square has a side length of 9 m, what is the area of the larger square?

• 81 m²

• 36 m²

• 54 m²

• 72 m²

4. A model of a building is 2 m tall and the actual building is 10 m tall. If the model has a base perimeter of 8 m, what is the perimeter of the actual building?

• 50 m

• 30 m

• 20 m

• 40 m

5. A triangle has an area of 30 cm². If a similar triangle has a height that is twice as long, what is the area of the larger triangle?

• 60 cm²

• 90 cm²

• 150 cm²

• 120 cm²

6. A rectangular garden measures 10 m by 5 m. If a similar garden has a length of 15 m, what is its perimeter?

• 45 m

• 30 m

• 40 m

• 50 m

7. Two similar pentagons have a scale factor of 4:7. If the area of the smaller pentagon is 32 cm², what is the area of the larger pentagon?

• 98 cm²

• 84 cm²

• 72 cm²

• 56 cm²

8. A circular pond has a radius of 3 m. If a similar pond has a radius of 5 m, what is the difference in their areas?

• 12π m²

• 10π m²

• 16π m²

• 20π m²

9. A rectangular painting has a length of 12 inches and a width of 9 inches. If a similar painting has a width of 15 inches, what is its length?

• 16 inches

• 22 inches

• 18 inches

• 20 inches

10. A small park has a perimeter of 50 m. If a similar park is 1.5 times larger, what is the perimeter of the larger park?

• 60 m

• 50 m

• 75 m

• 100 m