Area bounded by the equation |X|+2*|Y|=100

• consider 4 cases :
  case a:x>0,y>0 =>equation: x+2y=100
  case b:x0 =>equation: -x+2y=100
  case c:x>0,yequation: x-2y=100
  case d:xarea = 4*(1/2(50*100))=10,000 square unit
  
• 11 years agoHelpfull: Yes(12) No(0)
• @priya satsangi becauze when u draw the graph for all of 4 equations, u will see that lines cuts x and y axis at (0,-50),(0,50),(100,0),(-100,0). So area bounded by them will be = area bounded by (0,-50) and (-100,0) + area bounded by (0,-50) and (100,0) + area bounded by (0,50) and (-100,0) + area bounded by (0,50) and (100,0)
  = 4 * area bounded by (0,-50) and (-100,0)
  (as graph is symmetric about x and y axis)
  
• 11 years agoHelpfull: Yes(3) No(0)
• 4 lines..
  x+2y=100; x-2y=100; -x+2y=100; -x-2y=100
  each area = 2500 => total area = 4*2500 =10,000
• 11 years agoHelpfull: Yes(3) No(0)
• But, y area is multiplied by 4??
  It shud b 1/2*(50*100).
  Plz reply..
• 11 years agoHelpfull: Yes(0) No(0)