Sketch the region enclosed by the lines x = 0, x = 6, y = 2, and y = 6.
Find the area of the region.
Below is a sketch of the region enclosed by the lines x= 0, x = 6, y = 2, and y = 6:
```
| |
| |
----+----+----
| |
| |
----+----+----
| |
| |
0 6
```
To find the area of this region, we can use the formula:
```
Area = (base)(height)
```
In this case, the "base" of the region is the distance between the lines x= 0 and x = 6, which is 6 units. The "height" of the region is the distance between the lines y = 2 and y = 6, which is also 4 units.
So, using the formula above:
```
Area = (base)(height) = (6)(4) = 24
```
Therefore, the area of the region enclosed by the lines x= 0, x = 6, y = 2, and y = 6 is 24 square units.