Question 797701
h for height, b for base.
Given by description, {{{h=b+4}}}.
Area is {{{(1/2)bh=24}}} formula and other part of description.


{{{(1/2)b(b+4)=24}}}
{{{b(b+4)=48}}}
{{{b^2+4b=48}}}
{{{b^2+4b-48=0}}}


Using quadratic formula positive solution,
{{{b=(-4+sqrt(208))/2}}}
{{{highlight(b=-2+sqrt(26))}}}