Answer:
<h2> x =
-5 - √15 or x = -5 + √15</h2>
Step-by-step explanation:

Area = 38 1/4 = 153/4
Width = 4 1/2 = 9/2
Area = Length x Width
Length = Area/Width
So divide both of them:

So the length is equal to
It is the first one, so where it is marked is already correct