The area of a triangle is given by:
![A=(1)/(2)bh](https://img.qammunity.org/2023/formulas/mathematics/high-school/9sstqki54txhbml6j22rcfvxwdjny9xtib.png)
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:
![\begin{gathered} 76=(1)/(2)(4)b \\ 2b=76 \\ b=(76)/(2) \\ b=38 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/ceac5sbi0nzyh9kmgjajfzshfooh2phsr3.png)
Therefore, the base of the triangle is 38 cm and the correct choice is D since none of the values given are correct.