A rectangle is inscribed in a circle with a diameter lying along the line 3 y = x + 7 . If the two adjacent vertices of the rectangle are - 8 , 5 and 6 , 5 , then the area of the rectangle ( in sq. units ) is:

Step-by-step solution

Given, the two adjacent vertices of the rectangle are - 8 ,   5 and 6 ,   5 , the y -co-ordinates of both of these points is same this means they lie on the line y = 5 , which is parallel to the x -axis. And, we know that the sides of a rectangle are perpendicular to each other, hence the other two sides passing through these vertices are parallel to y -axis. Also, we know that the equation of a line parallel y -axis is x = k . Therefore, the equation of the sides of the rectangle passing through - 8 , &#