Answer:
The side length is multipled by 6.
Step-by-step explanation:
The formula of an area of a square:
[tex]A=a^2[/tex]
a - side length
The area is multipled ny 36:
[tex]36A=36a^2\\\\36A=6^2a^2\\\\36A=(6a)^2[/tex]
The side length is multipled by 6.
You can calculate the area and calculate the new side length:
[tex]a=8\ in\\\\A=8^2=64\ in^2\\\\36A=(36)(64)=2304\ in^2[/tex]
[tex]\bold{a}^2=2304\to \bold{a}=\sqrt{2304}\\\\\bold{a}=48\ in[/tex]
[tex]\dfrac{\bold{a}}{a}=\dfrac{48}{8}=6\to\bold{a}=6a[/tex]
