To solve this problem, we will use the following formula for the area of a trapezoid:
[tex]A=\frac{1}{2}(B+b)h,[/tex]where B and b are the lengths of the bases and h is the height.
Substituting B=10 ft, b=2 ft, and h=4 ft in the above formula, we get:
[tex]A=\frac{1}{2}(2ft+10ft)4\text{ ft.}[/tex]Simplifying we get:
[tex]A=24ft^2\text{.}[/tex]Answer:
[tex]24ft^2\text{.}[/tex]