Question 1128456
<br>
Let B be the known base of length 8; then b (the other base) and h (the height) are the same.<br>
Set B=8 and b=h in the area formula, knowing that the area is 24, and solve the resulting equation for h.<br>
{{{24 = (h(8+h))/2}}}
{{{48 = 8h+h^2}}}
{{{h^2+8h-48 = 0}}}
{{{(h+12)(h-4) = 0}}}
{{{h = -12}}}  or  {{{h = 4}}}<br>
Clearly a negative value makes no sense in the problem, so the height is h=4.<br>
ANSWER: The height is 4 meters.<br>
CHECK: {{{(4(8+4))/2 = 48/2 = 24}}}