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

The region enclosed by the lines x = 0, x = 6, y = 2, and y = 6 forms a rectangle.

To find the area of the region, we simply need to find the length and width of the rectangle.

The length of the rectangle is given by the difference between the x-coordinates of the two vertical lines:
Length = 6 - 0 = 6 units

The width of the rectangle is given by the difference between the y-coordinates of the two horizontal lines:
Width = 6 - 2 = 4 units

Therefore, the area of the region is:
Area = Length x Width
Area = 6 units x 4 units
Area = 24 square units

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