Use Two Equations in Two Variables to Solve the Following $24$

Multiple Choice

Use two equations in two variables to solve the following problem. At a theater, the giant rectangular movie screen has a width $24$ feet less than its length. If its perimeter is $308$ feet, find the area of the screen.

A) $5,669 \mathrm { ft } ^ { 2 }$
B) $5,764 \mathrm { ft } ^ { 2 }$
C) $5,738 \mathrm { ft } ^ { 2 }$
D) $5,873 \mathrm { ft } ^ { 2 }$
E) $5,785 \mathrm { ft } ^ { 2 }$