Answer to Question #57672 in Analytic Geometry for sanjiv

Question

Two sides of a square lie along the lines 4x + 3y = 15 and 4x + 3y = 5. Find the area of the square.

Two sides of a square lie along the lines 8x - 6y = 48 and 4x - 3y = 12. Find the perimeter of the line square.

Find the directed distance from the line to the point:
a. x = y = 5; (-2, -1)
b. x = 4y x = 4y; (3, 1)
c. 12x + 5y + 56 = 0; (-2, 4)

How far is the line from the indicated point:
a. 2x - 3y - 12 = 0; (-1, 2)
b. 5x + 12y + 56 = 0; (-2, 4)