quadrilateral abcd in the figure represents a parking lot that is soon to be repaved what is the total area of the parking lot

To answer this question we will use the following formula to compute the area of a trapezoid:
[tex]Area=\frac{(MajorBase+minorbase)\times height}{2}.[/tex]From the given diagram we get that quadrilateral ABCD is a trapezoid, with major base BC, minor base DA, and a height of 6 units.
Also, from the given diagram we get that BC=8 units and AD=5 units, therefore:
[tex]Area=\frac{(8units+5units)\times6units}{2}.[/tex]Simplifying the above result we get:
[tex]Area=\frac{78units^2}{2}=39units^2.[/tex]Answer: 39 squared units.