Question 1168285
.
<pre>

Let x be the length of the upper base.


Then the length of the lower base is (x+2) cm, and the length of the height is (x+1) cm.


The equation for the area of the trapezoid is


    {{{(1/2)*(x + (x+2))*(x+1)}}} = 36  cm^2,   or

    {{{(x+1)^2}}} = 36,


which implies

    x + 1 = {{{sqrt(36)}}} = 6,

    x     = 5.


<U>ANSWER</U>.  The upper base is 5 cm long;

         the lower base is 7 cm long;

         the altitude is  6 cm.
</pre>

Solved.