Question 1090439
If the side of the large square measures {{{2x}}} {{{m}}} ,
the area of the large square in {{{m^2}}} is
{{{(2x)^2=4x^2}}} , and
the area in {{{m^2}}} of each of the four smaller squares is
{{{4x^2/4=x^2}}} .
 
After one of the small squares is removed, a figure made up of
{{{4-1=3}}} of the small squares is remaining.
It's area in {{{k^2}}} is {{{3x^2=75}}} , so
{{{x^2=75/3}}} ,
{{{x^2=25}}} .
That means that {{{x=sqrt(25)=highlight(5)}}} .