The line `2x+3y=12` meets the x-axis at A and y-axis at B. The line through (5,5) perpendicular to AB meets the x-axis and the line AB at C and E respectively. If O is the origin of coordinates, find the area of figure OCEB.

Explanation

To solve the problem, we will follow these steps:

### Step 1: Find the coordinates of points A and B
The line given is \(2x + 3y = 12\).

**Finding point A (where the line meets the x-axis):**
To find the x-intercept (point A), we set \(y = 0\):
\[
...