<PRE><B>Question 1066781</B>
FOUR sides on a square shape.  Still, increase each side by 5 units means increasing each dimension (two of them) by 5 units each.


Old square:
{{{x^2}}}


New square:
{{{(x+5)^2}}}



Both areas together given as {{{200*cm^2}}}
{{{x^2+(x+5)^2=200}}}
Simplify this and solve.
-
{{{2x^2+10x+25=200}}}
{{{2x^2+10x-175=0}}}


{{{x=(-10+sqrt(100+4*2*175))/(2*2)}}}


{{{x=(-10+10sqrt(15))/4}}}


{{{x=(-5+5*sqrt(15))/2}}}</PRE>