The rectangle measures 2" by 3" and it is scaled up (increased) with a scale factor of 3.
This means that the sides of the rectangle were increased by a factor of 3.
Therefore, the sides of the image will be:
2 * 3 = 6 inches
and
3 * 3 = 9 inches
The dimensions of the image is 6 inches by 9 inches
The area of a rectangle is given as:
A = L * W
where L = length
W = width
Therefore, the area of the image is:
A = 6 * 9 = 54 square inches