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.
A. 243 Ft.
B. 61 FT.
C. 370 FT.
D.121 FT.

Answer 1

Option A,
`L = 243\ ft`

Explanation:

Step 1: Create an equation

`Length = 4 * Width`

`Area = (4 * W) * W`

`Area = 4 W^2`

Step 2: Solve for W

`14800\ ft^2 = 4 W^2`

`(14800\ ft^2)/(4) = W^2`

`3700\ ft^2 = W^2`

`√(3700\ ft^2) = √(W^2)`

`61\ ft = W`

Step 3: Solve for L

`Length = 4 * Width`

`L = 4 * 61\ ft`

`L = 243\ ft`

Answer: Option A,
`L = 243\ ft`