Perimeter and Area of Similar Triangles

Find the area of polygon B given similar polygons and the scale factor is shown. Round your answer to the nearest tenth.

• 23.0 m²

• 18 m²

• 18.4 m²

• 12.5 m²

The figures are similar. What is the ratio of their perimeters?

• 18/24

• 3/4

• 1/2

• 36/24

The scale factor of two similar figures is 4 : 5. What is the ratio of their perimeters?

• 4 : 5

• 16 : 25

• 64 : 125

• 8 : 10

If the ratio of perimeters of 2 triangles is 3:4, and the area of the smaller triangle is 324, what is the area of the larger triangle?

• 81

• 432

• 576

• 243

Given polygons A and B are similar with corresponding dimensions shown, what is the area of polygon B?

• 6.67 m²

• 3.33 m²

• 10 m²

• 22.5 m²

The area of triangle A is 54 and triangle B is 150. What is the scale factor of A to B? 

• 9:25

• 27:75

• 3:5

• 25:9

Two triangles are similar. The smaller triangle has an area of 24 in² and the larger triangle has an area of 54 in². If the larger triangle has a height of 18 inches, then what is the height of the smaller triangle?

• 12 inches

• 2 inches

• 8 inches

• 6 inches

Which of the following measurements are related to the scale factor? Check all that apply.

• surface areas

• heights

• side lengths

• volume

• perimeter