Question

Sketch the region enclosed by the lines x = 0, x = 6, y = 2, and y = 6.

Find the area of the region.

Answer 1

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.