Question 678994
The whole length of wire is {{{ 5 }}} ft
{{{ x }}} ft is used for the equilateral triangle
{{{ 5 - x }}} is used for the circle
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The area of the triangle is {{{A =  (1/2)*b*h }}}
The base is {{{ x/3 }}} . The height is {{{ (1/2)*(x/3)*sqrt(3) }}}
{{{ A = (1/2)*(x/3)*(x/6)*sqrt(3) }}}
{{{ A = ( x*sqrt(3)) / 36 }}}
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The area of the circle is {{{ pi*r^2 }}}
To find {{{r}}}, find the circumference
{{{ C = 2*pi*r }}}
{{{ 5 - x = 2*pi*r }}}
{{{ r = ( 5 - x ) / (2*pi) }}}
and
{{{ A = pi*(5 - x)^2 / ( 4*pi^2 ) }}}
{{{ A = (1/(4*pi))*( 25 - 10x + x^2 ) }}}
Hope I got it