Area and Perimeter of Similar Figures: Grade 6 Quiz

A rectangle has a length of 8 cm and a width of 4 cm. A similar rectangle has a length of 12 cm. What is the area of the similar rectangle?

• 64 cm²

• 48 cm²

• 36 cm²

• 72 cm²

Two similar triangles have a ratio of 2:3. If the area of the smaller triangle is 24 cm², what is the area of the larger triangle?

• 54 cm²

• 36 cm²

• 72 cm²

• 48 cm²

A square has a perimeter of 20 cm. A similar square has a perimeter of 30 cm. How do the areas of the two squares compare?

• The areas of both squares are equal.

• The area of the second square is greater than the area of the first square.

• The area of the first square is greater than the area of the second square.

• The area of the first square is twice that of the second square.

A model of a building is 5 meters tall and a similar building is 15 meters tall. If the base of the model is 2 meters wide, how wide is the base of the actual building?

• 4 meters

• 8 meters

• 6 meters

• 10 meters

Two similar pentagons have perimeters of 40 cm and 60 cm. If the area of the smaller pentagon is 80 cm², what is the area of the larger pentagon?

• 200 cm²

• 180 cm²

• 150 cm²

• 120 cm²

A triangle has a base of 10 cm and a height of 6 cm. A similar triangle has a base of 15 cm. What is the height of the similar triangle?

• 12 cm

• 10 cm

• 9 cm

• 7 cm

A circular garden has a radius of 3 m. A similar garden has a radius of 6 m. What is the ratio of their areas?

• 1:2

• 2:3

• 1:4

• 1:3

A rectangle has dimensions of 10 m by 5 m. A similar rectangle has a length of 15 m. What is the width of the similar rectangle?

• 7.5 m

• 10 m

• 5 m

• 12.5 m

Two similar figures have a scale factor of 4:5. If the area of the smaller figure is 50 cm², what is the area of the larger figure?

• 60 cm²

• 78.125 cm²

• 100 cm²

• 45 cm²

A square has a side length of 4 cm. A similar square has a side length of 6 cm. How do their perimeters compare?

• The perimeter of both squares is 20 cm.

• The perimeters are equal.

• The perimeter of the square with side length 6 cm is larger than that of the square with side length 4 cm.

• The perimeter of the square with side length 4 cm is larger.