Question

if the length of the container is half of a foot longer than it’s width what expression represents the height of the container

Answer 1

The height of the container is
`7x\ ft`

Explanation:

Let

L ------> the length of the rectangular container

W ----> the width of the rectangular container

H ---> the height of the rectangular container

we know that

The volume of the rectangular container is

`V=LWH` ------> equation A

we have

`W=x\ ft`

`L=(x+0.5)\ ft`

`V=7x^(3)+3.5x^(2)`

substitute the values in the equation A

`7x^(3)+3.5x^(2)=(x+0.5)(x)H`

Factor the term x in the left side

`(7x^(2)+3.5x)(x)=(x+0.5)(x)H`

Simplify

`(7x^(2)+3.5x)=(x+0.5)H`

Factor the term 7x in the left side

`(7x)(x+0.5)=(x+0.5)H`

Simplify

`(7x)=H`

Rewrite

`H=7x\ ft`