Question 1105922
As you scale up a 2-dimensional shape by a factor of {{{2}}} ,
the area gets larger by a factor of {{{2^2=4}}} .
(It works that way for all shapes you are scaling up or down by any factor {{{k>0}}} ,
to turn them into similar larger or smaller figures.
For 3-dimensional shapes, when you scale up or down by a factor {{{k>0}}} ,
all corresponding surface areas change by a factor{{{k^2}}} ,
and the volume changes by {{{k^3}}} ).
So, if the smaller figure has an area of {{{25cm^2}}} ,
the area of a similar figure with corresponding sides {{{2}}} times longer is
{{{4*25cm^2=highlight(100cm^2)}}} .