Question 1151729
.
<pre>

You are given


    {{{(1/2)*h*(2h+1)}}} = 14,


which implies


    h*(2h+1) = 28.


Multiply both sides by 2. You will get


    2h*(2h+1) = 56.


Recalling that 56 = 7*8, it makes it obvious that 2h = 7.


Hence, h = 3.5 inches for the height and  2*3.5 + 1 = 8 inches for the base.
</pre>

Answer.


----------------


Surely, you can complete the solution via formal algebra;

but I showed you much shorter and simpler way.