Answer:
The area of the scaled image is 60 in²
Step-by-step explanation:
The scale factor is the ratio between the measurements or dimensions in two similar figures. The term "similar figures" refers to figures that have the same shape but different sizes.
In this case, the area of a reactangle is related through the scale factor.
To obtain a measure of a larger figure and the value of the smaller figure is known, said value is multiplied by the scale factor.
To obtain a measure of the smaller figure and the value of the larger figure is known, said value is divided by the scale factor.
In this case, the area of a rectangle and the scale factor are known. As the rectangle is dilated by a factor, it means that it increases its size by a factor of [tex]\frac{1}{3}[/tex] and you want to know its area. Then, multiplying the scale factor by the known area dimensions you get:
[tex]180 in^{2} *\frac{1}{3} = \frac{180}{3} in^{2} = 60 in^{2}[/tex]
The area of the scaled image is 60 in²
