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

asked Oct 8, 2023 138k views

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Answer:

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,
$L = 243\ ft$

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