Exploring Similar Polygons: Area and Perimeter

The figures below are similar. The labeled sides are corresponding.

What is the area of the larger square?

• 25 m²

• 1.25 m²

• 20 m²

• 16 m²

Find the area of polygon B given similar polygons and the scale factor shown.

• 23.0 m²

• 18 m²

• 18.4 m²

• 12.5 m²

Two polygons are similar. The side lengths of the first polygon are 3 cm, 4 cm, and 5 cm. If the side lengths of the second polygon are 6 cm, 8 cm, and 10 cm, what is the scale factor from the first polygon to the second polygon?

• 2

• 3

• 4

Tags

CCSS.7.G.A.1

The areas of two similar polygons are 25 cm² and 100 cm². What is the scale factor of their corresponding side lengths?

• 2

• 3

• 4

• 5

Two similar rectangles have a scale factor of 5. If the perimeter of the smaller rectangle is 20 cm, what is the perimeter of the larger rectangle?

• 25 cm

• 50 cm

• 75 cm

• 100 cm

Tags

CCSS.7.G.A.1

Two similar hexagons have areas of 36 cm² and 81 cm². What is the scale factor from the smaller hexagon to the larger hexagon?

The perimeters of two similar polygons are 30 cm and 45 cm. What is the scale factor from the smaller polygon to the larger polygon?

If two similar triangles have a scale factor of 4, what is the ratio of their areas?

• 4

• 8

• 12

• 16