A hallway measuring 90 feet by 7 feet requires 1/2 a fluid ounce of cleaning solution per square foot. How much cleaning solution is required to clean the hallway?

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Euan S. Share
Jul 14, 2016

315 fluid ounces

Explanation:

The area of the hallway floor is found using the formula for the area of a rectangle (we can do it with integration but there's no point in such a simple case).

$\text{area" = "length"*"breadth}$

$A = l b$

$A = 90 f t \cdot 7 f t = 630 f {t}^{2}$

Amount of cleaning solution required given by:

$\text{Amount" = "Amount per sq ft"*"Number of sq ft}$

$\text{Amount" = 0.5 ("fl oz")/(ft^2) * 630ft^2 = 315"fl oz}$

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