Question

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

Answer 1

To sketch the region, draw a rectangle with vertices at (0,2), (6,2), (6,6), and (0,6). This region is enclosed by the lines x=0, x=6, y=2, and y=6.

To find the area of this region, we can use the formula for the area of a rectangle:
Area = base x height

The base of the rectangle is the distance between x=0 and x=6, which is 6. The height of the rectangle is the distance between y=2 and y=6, which is 4. Therefore, the area of the region is:

Area = 6 x 4 = 24

So the area of the region enclosed by the lines x=0, x=6, y=2, and y=6 is 24 square units.