SAT Question d8e84431: Nonlinear Functions answer and explanation with Desmos solution

Choice A is correct. It's given that the banner's length $x$, in inches, is $24$ inches longer than its width, in inches. It follows that the banner's width, in inches, can be represented by the expression $x-24$. The area of a rectangle is the product of its length and its width. It's given that the area of the banner is $2,661$ square inches, so it follows that $2,661=x\left(x-24\right)$, or $2,661=x^2-24x$. Subtracting $2,661$ from each side of this equation yields $0=x^2-24x-2,661$. Therefore, the equation that represents this situation is $0=x^2-24x-2,661$.