The area of a triangle is given by:
[tex]A=\frac{1}{2}bh[/tex]
where b is the base and h is the height. In this case the area is 76 square units and the height is 4 cm; plugging these values in the formula and solving for h is:
[tex]\begin{gathered} 76=\frac{1}{2}(4)b \\ 2b=76 \\ b=\frac{76}{2} \\ b=38 \end{gathered}[/tex]
Therefore, the base of the triangle is 38 cm and the correct choice is D since none of the values given are correct.
