Question 1092184
{{{x}}}= length of the longest side, in feet
{{{(1/4)x=0.25x}}}= length (in feet) of the side that is one-fourth of the longest side
{{{x-13}}}= 13 feet less than the length of the longest side
Addint those lengths we get the perimeter
{{{x+(1/4)x+x-13=113}}}
{{{(1+1/4+1)x-13=113}}}
{{{(9/4)x=113+13}}}
{{{(9/4)x=126}}}
{{{(4/9)*(9/4)=(4/9)*126}}}
{{{x=56}}}
{{{(1/4)x=(1/4)*56=14}}}
{{{x-13=56-13=43}}}
The sides of the triangle measure
{{{highlight(14feet)}}} , {{{highlight(43feet)}}} , and {{{highlight(56 feet)}}} .
{{{drawing(600,100,-2,58,-3,7,
triangle(0,0,56,0,13.241,4.547),
locate(25,0,56ft),locate(6.63,2.28,14ft),
locate(35,3.5,43ft)
)}}}