Find by integration, the area of the triangle bounded by the lines 4y-5x=0 and x=4.

Explanation

To find the area of the triangle bounded by the lines \(4y - 5x = 0\) and \(x = 4\), we will follow these steps:

### Step 1: Rewrite the equations of the lines
The first line is given by the equation \(4y - 5x = 0\). We can rewrite this in slope-intercept form:
\[ 4y = 5x \implies y = \frac{5}{4}x \]
The second line is \(x = 4\), which is a vertical line.
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