Given;
There are given that the 6 inches by 10-inch rectangle.
Explanation:
dilated by a factor of three means that the two dimensions needed for the area are multiplied by 3.
So,
The width of the rectangular is:
[tex]width=6\times3=18[/tex]And,
The length of the rectangular is:
[tex]10\times3=30[/tex]Then,
The area of dilated rectangular is:
[tex]\begin{gathered} Area\text{ of dilated rectanular=}width\times\text{length} \\ =18\times30 \\ =540inch^2 \end{gathered}[/tex]Final answer:
Hence, the area of the dilated rectangle is 540 inch^2.