Question

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

Answer 1

Step-1: Solve for the area of hallway:

Given: Dimension of hallway $=90\mathrm{ft}\times 7\mathrm{ft}$

The area of hallway $=$ Area of a rectangle [$\because$Hallway is rectangular in shape]

So, area of hallway $=\mathrm{length}\times \mathrm{width}$

$\Rightarrow$ $=90\times 7$

$\Rightarrow$ $=630{\mathrm{ft}}^2$

Step-2: Solve for the amount of cleaning solution required:

Amount of cleaning solution required to clean per square foot $=\frac{1}{2}\text{fluid ounce}$

So, amount of cleaning solution needed to clean hallway $=\frac{1}{2}\times$ Area of hallway

$\Rightarrow$ $=\frac{1}{2}\times 630$

$\Rightarrow$ $=315\text{fluid ounce}$

Hence, $315\text{fluid ounce}$ of cleaning solution is required to clean the hallway.