Answer:
<h2>Width of the rectangle is 2</h2>
Step-by-step explanation:
A rectangle can is made up of two right angled triangle as shown.
Since area of a rectangle = 
Area of one of the triangle = 
The length and width of the triangle will be the same as that of the rectangle i.e 5units long and 2units wide
Area of one of the triangle = 
Area of one of the triangle = 5units²
The area of the triangle above will equal one half of a rectangle that is 5 units long and 2 units wide.
The perpendicular line would have a slope of 1/3.
Perpendicular lines have opposite and reciprocal slopes. So first we have to find the slope of the original line. We can do this by solving the equation for y.
5x - 9y = 1
-9y = -5x + 1
y = 5/9x - 1/9
To do the opposite, take the original slope (5/9) and change the sign (-5/9).
To do the reciprocal, take the slope we changed (-5/9) and flip it as a fraction (-9/5).
This gives us a new slope of