Question

If a figure is dilated by a factor of 1.5, the area of the figure will change by a factor of

Answer 1

the area of the figure will change by a factor of 2.25

Answer 2

The figure will change by a factor of 2.25.

Explanation:

When the lengths (1-dimensional) change by a factor 1.5 (the definition of dilating a figure), the area (2-dimensional) will change by a factor 1.5 to the power of the quotient of the values of the dimensions, which is 2/1 = 2. So the area will change by a factor of 1.5^2 = 2.25.