Question

The length of a rectangle is 4 units shorter than half the width. If the length of the rectangle is 18 units, which equation can be

used to find w, the width of the rectangle?

Answer 1

equation to find w:

`18u=(w)/(2)-4u`

and the value of the width is:

`w=44u`

Explanation:

Information that we have:

Length:
`l=18u`

"The length of a rectangle is 4 units shorter than half the width"

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Representing the width with
`w`, what the last sentence is telling us is the following:

`l=(w)/(2) -4u`

Substituting the value of the length
`l=18u`

`18u=(w)/(2)-4u`

this is the equation we can use to find the width of the rectangle.

And solving for
`w` we get:

`18u+4u=(w)/(2)\\ \\22u=(w)/(2) \\\\22u*2=w\\44u=w`