What is the area bounded by the two lines and the co-ordinates axes in the first quadrant ?

1. The lines intersect at a point which also lies on the lines 3x – 4y = 1 and 7x – 8y = 5.

2. The lines are perpendicular and one of them intersects the Y-axis at an intercept of 4.

Options:

Standard Elitmus Data Sufficiency Options.

• @shivani, taking these four coordinates- (0,0), (0,4), (3,0), (3,2), the two lines are not perpendicular and secondly the area cant be calculated as the area of a rectangle. pls explain how?
• 8 years agoHelpfull: Yes(3) No(0)
• Point through which line passes is the intersection of 3x-4y=1,7x-8y=5
  =>(3,2)
  Lines are perpendicular y intercept at 4
  => x intercept at 3
  area=4*3=12
• 8 years agoHelpfull: Yes(1) No(2)
• by solving both equations we get one of the coordinates as(3,2)
  the other three coordinates are :(0,0),(0,4),(3,0)
  so the area is (4*3)=12
• 8 years agoHelpfull: Yes(0) No(4)