Question

A 6 inch by 10 inch rectangle is dilated by afactor of 3. What is the area of the dilatedrectangle?

Answer 1

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:

$width=6\times3=18$

And,

The length of the rectangular is:

$10\times3=30$

Then,

The area of dilated rectangular is:

$\begin{gathered} Area\text{ of dilated rectanular=}width\times\text{length} \\ =18\times30 \\ =540inch^2 \end{gathered}$

Final answer:

Hence, the area of the dilated rectangle is 540 inch^2.