Question

A cafeteria is in the shape of a rectangle. The length of the rectangle is four times its width. The area of the cafeteria is 14,800 square feet. What is the length of the cafeteria? Round to the nearest foot.Hint : Use A = LW.

Answer 1

Answer:

The length of the cafeteria is 244 ft

Step-by-step 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

`\begin{gathered} 4w^2=14800 \\ w^2=(14800)/(4)=3700 \\ \\ w=√(3700)=60.83 \\ \end{gathered}`

The length of the cafeteria is 4w:

4w = 4 * 60.83

= 243 ft