They did not state exactly what the width or length is. So in this case, let's name the number of width to be x. And thus we can derive to the conclusion of,
Width : x
Length : x-44 (from the 1st sentence of question)
So, We all know that a rectangle has 2 Lengths and 2 widths. So we can derive the conclusion that,
2(x)+2(x-44)=150150
2x+2x-88=150150
4x-88= 150150
4x= 150150+88=150238
4x=150238
x= 150238÷4
=37559.5
You must travel at 42 mph for 4 hours
<em><u>Solution:</u></em>
Time varies inversely as rate of motion
Let "t" be the time required
Let "r" be the rate of motion
Then, we get

Where, "k" is the constant of proportionality
<em><u>You travel 3 hours at a rate of 56 mph</u></em>
Substitute t = 3 and r = 56 in eqn 1

<em><u>Find the rate you must travel for 4 hours</u></em>
r = ? and t = 4
Substitute t = 4 and k = 168 in eqn 1

Thus you must travel at 42 mph for 4 hours
To have infinitely many solutions they must describe the same line. So any multiple or fraction of the reference line would indeed describe the same line, and thus "intersect" at each and every of an infinite number of points.
2(x+y=4)
2x+2y=8 (is the same line as x+y=4)