Question

Polygon B is a scaled copy of Polygon A using a scale factor of 5.Polygon B's area is what fraction of Polygon A's area?

a) 1/5
b) 1/25
c) 1/125
d) 5

Answer 1

Polygon B's area is 1/25 the area of Polygon A because the area of a scaled figure is the square of the scale factor.

Step-by-step explanation:

If Polygon B is a scaled copy of Polygon A using a scale factor of 5, then every length in Polygon B is 5 times the corresponding length in Polygon A. When scaling a two-dimensional figure, the area scales by the square of the scale factor. Therefore, the area of Polygon B will be 52 (which is 25) times larger than the area of Polygon A. To find what fraction of Polygon A's area is Polygon B's area, we take the reciprocal of this factor, which is 1/25.

The correct answer to the question 'Polygon B's area is what fraction of Polygon A's area?' is b) 1/25.