Question 45990
Base of triangle = x-2
Height os triangle = 2x
Side of square = x
Area of triangle = ( base * height ) / 2
-->{{{((x-2)(2x))/2}}}
-->{{{(2x^2-4x)/2}}}
Area of square --> {{{2((2x^2-4x)/2)}}} or {{{x^2}}}
EQUATION:
{{{x^2=(4x^2-8x)/2}}}
{{{2x^2=4x^2-8x}}}
{{{2x^2-8x=0}}}
x=4
Hence, the side of the square is 4 cm.
Paul.