SAT Question 124bc42b: Area and Volume answer and explanation with Desmos solution

Choice C is correct. The area, $A$, of a rectangle is given by the formula $A=lw$, where $l$ is the length and $w$ is the width of the rectangle. It's given that rectangle $ABCD$ shown has a length of $7$ units and a width of $2$ units. Substituting $7$ for $l$ and $2$ for $w$ in the formula $A=lw$ yields $A=(7)(2)$, or $A=14$. Therefore, the area, in square units, of rectangle $ABCD$ is $14$.