For this case we have that by definition the area of a rectangle is given by:
[tex]A = wl[/tex]
Where
- w: width of the rectangle
- l: length of the rectangle
The area of the original rectangle is given by:
[tex]A1 = (9) (6)\\A1 = 54[/tex]
The area of the new rectangle is given by:
[tex]A2 = (3 * 9) (3 * 6)\\A2 = 9 * (9) (6)\\A2 = 9 * 54\\A2 = 9 * A1[/tex]
Therefore, the original area increases with a factor of 9.
Anwer:
the original area increases by a factor of 9.
[tex]A2 = 9 * A1[/tex]
