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. Her partial work is shown below:



p = 4l + 4w + 4h


2. StartFraction p Over 4 EndFraction equals StartFraction 4 l plus 4 w plus 4 h Over 4.


3. StartFraction p Over 4 EndFraction equals l plus w plus h. = l + w + h


h = 4. h equals StartFraction p Over 4 EndFraction minus blank. –


Which expression should follow the subtraction in Hallie’s equation?



(l + w)


(l – w)


left-parenthesis StartFraction l plus w Over 4 right-parenthesis.


left-parenthesis StartFraction l plus w Over 4 EndFraction right-parenthesis.

Answer 1

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. Her partial work is shown below:

p = 4l + 4w + 4h

2. StartFraction p Over 4 EndFraction equals StartFraction 4 l plus 4 w plus 4 h Over 4.

3. StartFraction p Over 4 EndFraction equals l plus w plus h. = l + w + h

h = 4. h equals StartFraction p Over 4 EndFraction minus blank. –

Which expression should follow the subtraction in Hallie’s equation?

(l + w)

 (l – w)

left-parenthesis StartFraction l plus w Over 4 right-parenthesis.

left-parenthesis StartFraction l plus w Over 4 EndFraction right-parenthesis.

Step-by-step explanation:

The expression (w + h) + p/4 should follow the subtraction if Hallie's equation is

p = 4l + 4w + 4h

p/4 = l + w + h

h = -

Hallie can use the following equation to solve the problem

p = 4l + 4w + 4h

She can proceed to make h the subject of the formula.

p = 4l + 4w + 4h

When we factor out 4 on the right hand side, we get:

p = 4(l + w + h)

We then divide both side by 4, we have

p/4 = l + w + h

Then, subtracting (l + w) from both sides, we get:

p/4 - (l + w) = h.

We can write it as:

h = - (l + w) + p/4

And that is what Hallie wanted to obtain.

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Answer 2

Answer:

(l+w)

Step-by-step explanation:

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