Answer:
a went to 5a in the larger square
Step-by-step explanation:
The area of a square with a side m is given by [tex]m^{2}[/tex], since it's sides are all equal. Thus, a square with area [tex]a^{2}[/tex] has sides of a length. The larger square has area 25[tex]a^{2}[/tex]. A side is [tex]\sqrt{25a^{2} }[/tex], or 5a.
The side of the smaller square, a, was lengthened by a factor of 5, to 5a.