The length of the cafeteria is 244 ft
Explanation:Given that the length of the rectangle is four times its width, let the width be w, then the length is 4w.
The area of the cafeteria is 14,800 square feet, this means:
A = 14800
This implies that
w * 4w = 14800
[tex]\begin{gathered} 4w^2=14800 \\ w^2=\frac{14800}{4}=3700 \\ \\ w=\sqrt{3700}=60.83 \\ \end{gathered}[/tex]The length of the cafeteria is 4w:
4w = 4 * 60.83
= 243 ft
