Question

Assume there are 2 similar polygons, whose scale factor is 4:5. If the larger polygon has an area of 30 units squared, what is the area o the smaller polygon?
Areas of similar triangles are proportional to the square of their corresponding sides.
area of smaller/area of larger = 4^2/5^2
area of smaller /30 = 16/25
area of smaller = 30(16/25) = 96/5 or 19.2

Related Questions

How do you find the perimeter of a second polygon given just the scale factor of both polygons and t... the scale factor of two similar polygons as 4:7. the perimeter of the smaller polygon is 320 centime... Are the polygons similar? If they are, write a similarity statement and give the scale factor. The f... Are the polygons similar? If they are, write a similarity statement and give the scale factor. The f...