The area of the region enclosed by the lines x = y, x = 8 and y = 4 has to be determined.
It can be seen that x = 8 is a vertical line and y = 4 is a horizontal line. The line x = 8 is perpendicular to the line y = 4. The point at which they intersect is (8, 4).
The lines x = y and x = 8 intersect at (8, 8) and the lines x = y and y = 4 intersect at (4, 4).
There is a right triangle formed by the three lines. The length of the perpendicular sides is 4 and 4. The area of the enclosed region is therefore (1/2)*4*4 = 8.
The area of the region enclosed by the lines x = y, x = 8 and y = 4 is 8.
The area of rigion enclosed by three lines:
x = y, x = 8 and y = 4 is a right angled triange having coordinates of the corners as :
(4,4) the intersection point of x=y and y=4
(8,8) the intersection point of x=y and x=8 and
(8,4) the intersection point of x=8 and y=4
the base and height of this right-angled triangle is 4 and hence the area is equal to 4*4/2 = 8
The area of the region enclosed by the line x=y, x=8 and y=4 is 8