Sketch the region enclosed by the lines x=0, x= 6, y = 2, and y = 6.
Find the area of the region.
Here is the sketch of the region:
```
| |
| |
------|-----|------ y = 6
| |
| |
------|-----|------ y = 2
| |
| |
x = 0 x = 6
```
To find the area of this region, we can divide it into two rectangles:
```
| |
| |
------|-----|------ y = 6
| |
| |
------|-----|------ y = 4
| |
| |
x = 0 x = 6
| |
| |
------|-----|------ y = 4
| |
| |
------|-----|------ y = 2
| |
| |
x = 0 x = 6
```
The first rectangle has a width of 6 and a height of 2, so its area is:
```
6 * 2 = 12
```
The second rectangle has a width of 6 and a height of 2, so its area is:
```
6 * 2 = 12
```
Therefore, the total area of the region is:
```
12 + 12 = 24
```
So the area of the region enclosed by the lines x=0, x=6, y=2, and y=6 is 24 square units.