sketch the region enclosed by the lines x=0 x =6 y=2 and y=6

Question

Find the area of the region

Answer 1

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

This forms a rectangle with a width of 6 units and a height of 4 units.

To find the area of the region, we can use the formula for the area of a rectangle:

Area = width x height
Area = 6 x 4
Area = 24 square units

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