SAT Question 32f99025: Area and Volume answer and explanation with Desmos solution

Choice B is correct. The formula for the area, $A$, of a triangle is $A=\frac{1}{2}bh$, where $b$ is the length of the base of the triangle and $h$ is the height of the triangle. It's given that the length of the base of a triangle is $8$ inches and the height of the triangle is $12$ inches. Substituting $8$ for $b$ and $12$ for $h$ in the formula $A=\frac{1}{2}bh$ yields $A=\frac{1}{2}\left(8\right)\left(12\right)$, or $A=48$. Therefore, the area, in square inches, of the triangle is $48$.