Question

hallie can use the equation $p = 4l + 4w + 4h$ to determine the sum of the lengths of the edges of a rectangular prism. she begins to solve the equation for $h$ but runs out of time.
hallies work

1. $p = 4l + 4w + 4h$
2. $\frac{p}{4} = \frac{4l + 4w + 4h}{4}$
3. $\frac{p}{4} = l + w + h$
4. $h = \frac{p}{4} - $

which expression should follow the subtraction in hallie’s equation?
options: $(l + w)$, $(l - w)$, $\left(\frac{l + w}{4}\
ight)$

Explanation:

Step1: Analyze the equation after step 3

We have \(\frac{p}{4}=l + w + h\). To solve for \(h\), we need to isolate \(h\) by subtracting the terms involving \(l\) and \(w\) from both sides.

Step2: Solve for \(h\)

Starting from \(\frac{p}{4}=l + w + h\), we subtract \(l + w\) from both sides. So \(h=\frac{p}{4}-(l + w)\).

Answer:

\((l + w)\)